Hadron Spectroscopy with a low-mass Hadron Spectroscopy with a - - PowerPoint PPT Presentation

Hadron Spectroscopy with a low-mass composite scalar in the sextet model Chik Him (Ricky) Wong Outline Review Hadron Spectroscopy

Simulation Details Light 0++ ground state as Higgs Impostor LHC-Reachable Resonance Candidates ρ,a0,a1 Lightest Baryon N Summary

Conclusion

Hadron Spectroscopy with a low-mass composite scalar in the sextet model Hadron Spectroscopy with a low-mass composite scalar in the sextet model

Chik Him (Ricky) Wong Lattice Higgs Collaboration (LatHC): Zoltán Fodor $, Kieran Holland ∗, Julius Kuti †, Santanu Mondal −, Dániel Nógrádi −, Chik Him Wong $

†: University of California, San Diego *: University of the Pacific $: University of Wuppertal -: Eötvös University

LATTICE 2015

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Hadron Spectroscopy with a low-mass composite scalar in the sextet model Chik Him (Ricky) Wong Outline Review Hadron Spectroscopy

Simulation Details Light 0++ ground state as Higgs Impostor LHC-Reachable Resonance Candidates ρ,a0,a1 Lightest Baryon N Summary

Conclusion

Outline Outline

Review: Sextet model as Composite Higgs candidate Hadron Spectroscopy on Extended Dataset

Simulation Details Higgs Impostor: Light Mf0 LHC reachable resonances : Ma0, Mρ, Ma1 Lightest Baryon: MN

Conclusion

2 / 16

Hadron Spectroscopy with a low-mass composite scalar in the sextet model Chik Him (Ricky) Wong Outline Review Hadron Spectroscopy

Simulation Details Light 0++ ground state as Higgs Impostor LHC-Reachable Resonance Candidates ρ,a0,a1 Lightest Baryon N Summary

Conclusion

Review: Sextet model as Composite Higgs candidate Review: Sextet model as Composite Higgs candidate

Goal: Look for a Composite Higgs model: An infrared fixed point almost exists + Confining ⇒ models at the edge of conformal window After Higgs boson discovery : Light 0++ Higgs + reproduce detected phenomenology Predicts any observed new resonances e.g. ∼ 3−σ diboson excess at ∼ 2 TeV is recently reported by ATLAS as a walking techni-ρ candidate (Fukano et al, arXiv:1506.03751v3), and CMS seems to echo

(*plots taken from Jester’s blog in Resonaances http://www.resonaances.blogspot.hu/2015/06/on-lhc-diboson-excess.html)

Parameter Space:NC, Nf , Representations of SU(NC) Focus of this talk: SU(3) Nf = 2 Sextet(Two-index symmetric) Model

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Hadron Spectroscopy with a low-mass composite scalar in the sextet model Chik Him (Ricky) Wong Outline Review Hadron Spectroscopy

Simulation Details Light 0++ ground state as Higgs Impostor LHC-Reachable Resonance Candidates ρ,a0,a1 Lightest Baryon N Summary

Conclusion

Review: Sextet model as Composite Higgs candidate Review: Sextet model as Composite Higgs candidate

Goal: Look for a Composite Higgs model: An infrared fixed point almost exists + Confining ⇒ models at the edge of conformal window After Higgs boson discovery : Light 0++ Higgs + reproduce detected phenomenology Predicts any observed new resonances e.g. ∼ 3−σ diboson excess at ∼ 2 TeV is recently reported by ATLAS as a walking techni-ρ candidate (Fukano et al, arXiv:1506.03751v3), and CMS seems to echo

(*plots taken from Jester’s blog in Resonaances http://www.resonaances.blogspot.hu/2015/06/on-lhc-diboson-excess.html)

Parameter Space:NC, Nf , Representations of SU(NC) Focus of this talk: SU(3) Nf = 2 Sextet(Two-index symmetric) Model

3 / 16

Hadron Spectroscopy with a low-mass composite scalar in the sextet model Chik Him (Ricky) Wong Outline Review Hadron Spectroscopy

Simulation Details Light 0++ ground state as Higgs Impostor LHC-Reachable Resonance Candidates ρ,a0,a1 Lightest Baryon N Summary

Conclusion

Review: Sextet model as Composite Higgs candidate Review: Sextet model as Composite Higgs candidate

Goal: Look for a Composite Higgs model: An infrared fixed point almost exists + Confining ⇒ models at the edge of conformal window After Higgs boson discovery : Light 0++ Higgs + reproduce detected phenomenology Predicts any observed new resonances e.g. ∼ 3−σ diboson excess at ∼ 2 TeV is recently reported by ATLAS as a walking techni-ρ candidate (Fukano et al, arXiv:1506.03751v3), and CMS seems to echo

(*plots taken from Jester’s blog in Resonaances http://www.resonaances.blogspot.hu/2015/06/on-lhc-diboson-excess.html)

Parameter Space:NC, Nf , Representations of SU(NC) Focus of this talk: SU(3) Nf = 2 Sextet(Two-index symmetric) Model

3 / 16

Hadron Spectroscopy with a low-mass composite scalar in the sextet model Chik Him (Ricky) Wong Outline Review Hadron Spectroscopy

Simulation Details Light 0++ ground state as Higgs Impostor LHC-Reachable Resonance Candidates ρ,a0,a1 Lightest Baryon N Summary

Conclusion

Review: Sextet model as Composite Higgs candidate Review: Sextet model as Composite Higgs candidate

Goal: Look for a Composite Higgs model: An infrared fixed point almost exists + Confining ⇒ models at the edge of conformal window After Higgs boson discovery : Light 0++ Higgs + reproduce detected phenomenology Predicts any observed new resonances e.g. ∼ 3−σ diboson excess at ∼ 2 TeV is recently reported by ATLAS as a walking techni-ρ candidate (Fukano et al, arXiv:1506.03751v3), and CMS seems to echo

(*plots taken from Jester’s blog in Resonaances http://www.resonaances.blogspot.hu/2015/06/on-lhc-diboson-excess.html)

Parameter Space:NC, Nf , Representations of SU(NC) Focus of this talk: SU(3) Nf = 2 Sextet(Two-index symmetric) Model

3 / 16

Hadron Spectroscopy with a low-mass composite scalar in the sextet model Chik Him (Ricky) Wong Outline Review Hadron Spectroscopy

Simulation Details Light 0++ ground state as Higgs Impostor LHC-Reachable Resonance Candidates ρ,a0,a1 Lightest Baryon N Summary

Conclusion

Review: Sextet model as Composite Higgs candidate Review: Sextet model as Composite Higgs candidate

Goal: Look for a Composite Higgs model: An infrared fixed point almost exists + Confining ⇒ models at the edge of conformal window After Higgs boson discovery : Light 0++ Higgs + reproduce detected phenomenology Predicts any observed new resonances e.g. ∼ 3−σ diboson excess at ∼ 2 TeV is recently reported by ATLAS as a walking techni-ρ candidate (Fukano et al, arXiv:1506.03751v3), and CMS seems to echo

(*plots taken from Jester’s blog in Resonaances http://www.resonaances.blogspot.hu/2015/06/on-lhc-diboson-excess.html)

Parameter Space:NC, Nf , Representations of SU(NC) Focus of this talk: SU(3) Nf = 2 Sextet(Two-index symmetric) Model

3 / 16

Hadron Spectroscopy with a low-mass composite scalar in the sextet model Chik Him (Ricky) Wong Outline Review Hadron Spectroscopy

Simulation Details Light 0++ ground state as Higgs Impostor LHC-Reachable Resonance Candidates ρ,a0,a1 Lightest Baryon N Summary

Conclusion

Review: Sextet model as Composite Higgs candidate Review: Sextet model as Composite Higgs candidate

SU(3) Nf = 2 Sextet(Two-index symmetric) Model Intrinsically very close to Conformal Window Seems to be still χSB (Julius’ talk gave an overview 16:30)

Chiral Condensate: non-zero (Fodor et al, PoS (LATTICE 2013) 089) Effective Potential: confining (Fodor et al, PoS (Lattice 2012) 025) Step β function : No sign of IRFP zero observed (details in Daniel Nogradi’s talk 17:30) (Fodor et al, arXiv:1506.06599)

New tools were developed to obtain the Dirac spectrum ( details in Kieran Holland’s poster) Hadron Spectroscopy: We look for

Light Higgs impostor f0 LHC-reachable resonance candidates ρ, a0,a1 Lightest Baryon N

4 / 16

Hadron Spectroscopy with a low-mass composite scalar in the sextet model Chik Him (Ricky) Wong Outline Review Hadron Spectroscopy

Simulation Details Light 0++ ground state as Higgs Impostor LHC-Reachable Resonance Candidates ρ,a0,a1 Lightest Baryon N Summary

Conclusion

Review: Sextet model as Composite Higgs candidate Review: Sextet model as Composite Higgs candidate

SU(3) Nf = 2 Sextet(Two-index symmetric) Model Intrinsically very close to Conformal Window Seems to be still χSB (Julius’ talk gave an overview 16:30)

Chiral Condensate: non-zero (Fodor et al, PoS (LATTICE 2013) 089) Effective Potential: confining (Fodor et al, PoS (Lattice 2012) 025) Step β function : No sign of IRFP zero observed (details in Daniel Nogradi’s talk 17:30) (Fodor et al, arXiv:1506.06599)

New tools were developed to obtain the Dirac spectrum ( details in Kieran Holland’s poster) Hadron Spectroscopy: We look for

Light Higgs impostor f0 LHC-reachable resonance candidates ρ, a0,a1 Lightest Baryon N

4 / 16

Hadron Spectroscopy with a low-mass composite scalar in the sextet model Chik Him (Ricky) Wong Outline Review Hadron Spectroscopy

Simulation Details Light 0++ ground state as Higgs Impostor LHC-Reachable Resonance Candidates ρ,a0,a1 Lightest Baryon N Summary

Conclusion

Review: Sextet model as Composite Higgs candidate Review: Sextet model as Composite Higgs candidate

SU(3) Nf = 2 Sextet(Two-index symmetric) Model Intrinsically very close to Conformal Window Seems to be still χSB (Julius’ talk gave an overview 16:30)

Chiral Condensate: non-zero (Fodor et al, PoS (LATTICE 2013) 089) Effective Potential: confining (Fodor et al, PoS (Lattice 2012) 025) Step β function : No sign of IRFP zero observed (details in Daniel Nogradi’s talk 17:30) (Fodor et al, arXiv:1506.06599)

New tools were developed to obtain the Dirac spectrum ( details in Kieran Holland’s poster) Hadron Spectroscopy: We look for

Light Higgs impostor f0 LHC-reachable resonance candidates ρ, a0,a1 Lightest Baryon N

4 / 16

Hadron Spectroscopy with a low-mass composite scalar in the sextet model Chik Him (Ricky) Wong Outline Review Hadron Spectroscopy

Simulation Details Light 0++ ground state as Higgs Impostor LHC-Reachable Resonance Candidates ρ,a0,a1 Lightest Baryon N Summary

Conclusion

Review: Sextet model as Composite Higgs candidate Review: Sextet model as Composite Higgs candidate

SU(3) Nf = 2 Sextet(Two-index symmetric) Model Intrinsically very close to Conformal Window Seems to be still χSB (Julius’ talk gave an overview 16:30)

Chiral Condensate: non-zero (Fodor et al, PoS (LATTICE 2013) 089) Effective Potential: confining (Fodor et al, PoS (Lattice 2012) 025) Step β function : No sign of IRFP zero observed (details in Daniel Nogradi’s talk 17:30) (Fodor et al, arXiv:1506.06599)

New tools were developed to obtain the Dirac spectrum ( details in Kieran Holland’s poster) Hadron Spectroscopy: We look for

Light Higgs impostor f0 LHC-reachable resonance candidates ρ, a0,a1 Lightest Baryon N

4 / 16

Hadron Spectroscopy with a low-mass composite scalar in the sextet model Chik Him (Ricky) Wong Outline Review Hadron Spectroscopy

Simulation Details Light 0++ ground state as Higgs Impostor LHC-Reachable Resonance Candidates ρ,a0,a1 Lightest Baryon N Summary

Conclusion

Review: Sextet model as Composite Higgs candidate Review: Sextet model as Composite Higgs candidate

SU(3) Nf = 2 Sextet(Two-index symmetric) Model Intrinsically very close to Conformal Window Seems to be still χSB (Julius’ talk gave an overview 16:30)

Chiral Condensate: non-zero (Fodor et al, PoS (LATTICE 2013) 089) Effective Potential: confining (Fodor et al, PoS (Lattice 2012) 025) Step β function : No sign of IRFP zero observed (details in Daniel Nogradi’s talk 17:30) (Fodor et al, arXiv:1506.06599)

New tools were developed to obtain the Dirac spectrum ( details in Kieran Holland’s poster) Hadron Spectroscopy: We look for

Light Higgs impostor f0 LHC-reachable resonance candidates ρ, a0,a1 Lightest Baryon N

4 / 16

Hadron Spectroscopy with a low-mass composite scalar in the sextet model Chik Him (Ricky) Wong Outline Review Hadron Spectroscopy

Simulation Details Light 0++ ground state as Higgs Impostor LHC-Reachable Resonance Candidates ρ,a0,a1 Lightest Baryon N Summary

Conclusion

Review: Sextet model as Composite Higgs candidate Review: Sextet model as Composite Higgs candidate

SU(3) Nf = 2 Sextet(Two-index symmetric) Model Intrinsically very close to Conformal Window Seems to be still χSB (Julius’ talk gave an overview 16:30)

Chiral Condensate: non-zero (Fodor et al, PoS (LATTICE 2013) 089) Effective Potential: confining (Fodor et al, PoS (Lattice 2012) 025) Step β function : No sign of IRFP zero observed (details in Daniel Nogradi’s talk 17:30) (Fodor et al, arXiv:1506.06599)

New tools were developed to obtain the Dirac spectrum ( details in Kieran Holland’s poster) Hadron Spectroscopy: We look for

Light Higgs impostor f0 LHC-reachable resonance candidates ρ, a0,a1 Lightest Baryon N

4 / 16

Hadron Spectroscopy with a low-mass composite scalar in the sextet model Chik Him (Ricky) Wong Outline Review Hadron Spectroscopy

Simulation Details Light 0++ ground state as Higgs Impostor LHC-Reachable Resonance Candidates ρ,a0,a1 Lightest Baryon N Summary

Conclusion

Review: Sextet model as Composite Higgs candidate Review: Sextet model as Composite Higgs candidate

SU(3) Nf = 2 Sextet(Two-index symmetric) Model Intrinsically very close to Conformal Window Seems to be still χSB (Julius’ talk gave an overview 16:30)

Chiral Condensate: non-zero (Fodor et al, PoS (LATTICE 2013) 089) Effective Potential: confining (Fodor et al, PoS (Lattice 2012) 025) Step β function : No sign of IRFP zero observed (details in Daniel Nogradi’s talk 17:30) (Fodor et al, arXiv:1506.06599)

New tools were developed to obtain the Dirac spectrum ( details in Kieran Holland’s poster) Hadron Spectroscopy: We look for

Light Higgs impostor f0 LHC-reachable resonance candidates ρ, a0,a1 Lightest Baryon N

4 / 16

Hadron Spectroscopy with a low-mass composite scalar in the sextet model Chik Him (Ricky) Wong Outline Review Hadron Spectroscopy

Simulation Details Light 0++ ground state as Higgs Impostor LHC-Reachable Resonance Candidates ρ,a0,a1 Lightest Baryon N Summary

Conclusion

Review: Sextet model as Composite Higgs candidate Review: Sextet model as Composite Higgs candidate

SU(3) Nf = 2 Sextet(Two-index symmetric) Model Intrinsically very close to Conformal Window Seems to be still χSB (Julius’ talk gave an overview 16:30)

Chiral Condensate: non-zero (Fodor et al, PoS (LATTICE 2013) 089) Effective Potential: confining (Fodor et al, PoS (Lattice 2012) 025) Step β function : No sign of IRFP zero observed (details in Daniel Nogradi’s talk 17:30) (Fodor et al, arXiv:1506.06599)

New tools were developed to obtain the Dirac spectrum ( details in Kieran Holland’s poster) Hadron Spectroscopy: We look for

Light Higgs impostor f0 LHC-reachable resonance candidates ρ, a0,a1 Lightest Baryon N

4 / 16

Hadron Spectroscopy with a low-mass composite scalar in the sextet model Chik Him (Ricky) Wong Outline Review Hadron Spectroscopy

Simulation Details Light 0++ ground state as Higgs Impostor LHC-Reachable Resonance Candidates ρ,a0,a1 Lightest Baryon N Summary

Conclusion

Review: Sextet model as Composite Higgs candidate Review: Sextet model as Composite Higgs candidate

SU(3) Nf = 2 Sextet(Two-index symmetric) Model Intrinsically very close to Conformal Window Seems to be still χSB (Julius’ talk gave an overview 16:30)

Chiral Condensate: non-zero (Fodor et al, PoS (LATTICE 2013) 089) Effective Potential: confining (Fodor et al, PoS (Lattice 2012) 025) Step β function : No sign of IRFP zero observed (details in Daniel Nogradi’s talk 17:30) (Fodor et al, arXiv:1506.06599)

New tools were developed to obtain the Dirac spectrum ( details in Kieran Holland’s poster) Hadron Spectroscopy: We look for

Light Higgs impostor f0 LHC-reachable resonance candidates ρ, a0,a1 Lightest Baryon N

4 / 16

Hadron Spectroscopy with a low-mass composite scalar in the sextet model Chik Him (Ricky) Wong Outline Review Hadron Spectroscopy

Simulation Details Light 0++ ground state as Higgs Impostor LHC-Reachable Resonance Candidates ρ,a0,a1 Lightest Baryon N Summary

Conclusion

Review: Sextet model as Composite Higgs candidate Review: Sextet model as Composite Higgs candidate

SU(3) Nf = 2 Sextet(Two-index symmetric) Model Intrinsically very close to Conformal Window Seems to be still χSB (Julius’ talk gave an overview 16:30)

Chiral Condensate: non-zero (Fodor et al, PoS (LATTICE 2013) 089) Effective Potential: confining (Fodor et al, PoS (Lattice 2012) 025) Step β function : No sign of IRFP zero observed (details in Daniel Nogradi’s talk 17:30) (Fodor et al, arXiv:1506.06599)

New tools were developed to obtain the Dirac spectrum ( details in Kieran Holland’s poster) Hadron Spectroscopy: We look for

Light Higgs impostor f0 LHC-reachable resonance candidates ρ, a0,a1 Lightest Baryon N

4 / 16

Hadron Spectroscopy with a low-mass composite scalar in the sextet model Chik Him (Ricky) Wong Outline Review Hadron Spectroscopy

Simulation Details Light 0++ ground state as Higgs Impostor LHC-Reachable Resonance Candidates ρ,a0,a1 Lightest Baryon N Summary

Conclusion

Review: Sextet model as Composite Higgs candidate Review: Sextet model as Composite Higgs candidate

SU(3) Nf = 2 Sextet(Two-index symmetric) Model Intrinsically very close to Conformal Window Seems to be still χSB (Julius’ talk gave an overview 16:30)

Chiral Condensate: non-zero (Fodor et al, PoS (LATTICE 2013) 089) Effective Potential: confining (Fodor et al, PoS (Lattice 2012) 025) Step β function : No sign of IRFP zero observed (details in Daniel Nogradi’s talk 17:30) (Fodor et al, arXiv:1506.06599)

New tools were developed to obtain the Dirac spectrum ( details in Kieran Holland’s poster) Hadron Spectroscopy: We look for

Light Higgs impostor f0 LHC-reachable resonance candidates ρ, a0,a1 Lightest Baryon N

4 / 16

Hadron Spectroscopy with a low-mass composite scalar in the sextet model Chik Him (Ricky) Wong Outline Review Hadron Spectroscopy

Simulation Details Light 0++ ground state as Higgs Impostor LHC-Reachable Resonance Candidates ρ,a0,a1 Lightest Baryon N Summary

Conclusion

Review: Sextet model as Composite Higgs candidate Review: Sextet model as Composite Higgs candidate

• Previously. . . (Fodor et al, PoS (LATTICE 2014) 244)

3.2 3.25 β 2 4 6 8 10 12 14 16 18 20 M / F 0.492 0.984 1.476 1.968 2.46 2.952 3.444 3.936 4.428 4.92 M / TeV MN Ma1 Mρ Ma0 Mf0

Patterns emerged:

Light 0++ (f0) as Higgs Impostor ρ, a0 and a1 are within LHC’s reach N was first obtained

Systematics have to be dealt with more carefully This talk is the report of preliminary results from an ongoing follow-up study with extended data

5 / 16

Hadron Spectroscopy with a low-mass composite scalar in the sextet model Chik Him (Ricky) Wong Outline Review Hadron Spectroscopy

Simulation Details Light 0++ ground state as Higgs Impostor LHC-Reachable Resonance Candidates ρ,a0,a1 Lightest Baryon N Summary

Conclusion

Review: Sextet model as Composite Higgs candidate Review: Sextet model as Composite Higgs candidate

• Previously. . . (Fodor et al, PoS (LATTICE 2014) 244)

3.2 3.25 β 2 4 6 8 10 12 14 16 18 20 M / F 0.492 0.984 1.476 1.968 2.46 2.952 3.444 3.936 4.428 4.92 M / TeV MN Ma1 Mρ Ma0 Mf0

Patterns emerged:

Light 0++ (f0) as Higgs Impostor ρ, a0 and a1 are within LHC’s reach N was first obtained

Systematics have to be dealt with more carefully This talk is the report of preliminary results from an ongoing follow-up study with extended data

5 / 16

Hadron Spectroscopy with a low-mass composite scalar in the sextet model Chik Him (Ricky) Wong Outline Review Hadron Spectroscopy

Simulation Details Light 0++ ground state as Higgs Impostor LHC-Reachable Resonance Candidates ρ,a0,a1 Lightest Baryon N Summary

Conclusion

Review: Sextet model as Composite Higgs candidate Review: Sextet model as Composite Higgs candidate

• Previously. . . (Fodor et al, PoS (LATTICE 2014) 244)

3.2 3.25 β 2 4 6 8 10 12 14 16 18 20 M / F 0.492 0.984 1.476 1.968 2.46 2.952 3.444 3.936 4.428 4.92 M / TeV MN Ma1 Mρ Ma0 Mf0

Patterns emerged:

Light 0++ (f0) as Higgs Impostor ρ, a0 and a1 are within LHC’s reach N was first obtained

Systematics have to be dealt with more carefully This talk is the report of preliminary results from an ongoing follow-up study with extended data

5 / 16

Hadron Spectroscopy with a low-mass composite scalar in the sextet model Chik Him (Ricky) Wong Outline Review Hadron Spectroscopy

Simulation Details Light 0++ ground state as Higgs Impostor LHC-Reachable Resonance Candidates ρ,a0,a1 Lightest Baryon N Summary

Conclusion

Review: Sextet model as Composite Higgs candidate Review: Sextet model as Composite Higgs candidate

• Previously. . . (Fodor et al, PoS (LATTICE 2014) 244)

3.2 3.25 β 2 4 6 8 10 12 14 16 18 20 M / F 0.492 0.984 1.476 1.968 2.46 2.952 3.444 3.936 4.428 4.92 M / TeV MN Ma1 Mρ Ma0 Mf0

Patterns emerged:

Light 0++ (f0) as Higgs Impostor ρ, a0 and a1 are within LHC’s reach N was first obtained

Systematics have to be dealt with more carefully This talk is the report of preliminary results from an ongoing follow-up study with extended data

5 / 16

Hadron Spectroscopy with a low-mass composite scalar in the sextet model Chik Him (Ricky) Wong Outline Review Hadron Spectroscopy

Simulation Details Light 0++ ground state as Higgs Impostor LHC-Reachable Resonance Candidates ρ,a0,a1 Lightest Baryon N Summary

Conclusion

Review: Sextet model as Composite Higgs candidate Review: Sextet model as Composite Higgs candidate

• Previously. . . (Fodor et al, PoS (LATTICE 2014) 244)

3.2 3.25 β 2 4 6 8 10 12 14 16 18 20 M / F 0.492 0.984 1.476 1.968 2.46 2.952 3.444 3.936 4.428 4.92 M / TeV MN Ma1 Mρ Ma0 Mf0

Patterns emerged:

Light 0++ (f0) as Higgs Impostor ρ, a0 and a1 are within LHC’s reach N was first obtained

Systematics have to be dealt with more carefully This talk is the report of preliminary results from an ongoing follow-up study with extended data

5 / 16

Hadron Spectroscopy with a low-mass composite scalar in the sextet model Chik Him (Ricky) Wong Outline Review Hadron Spectroscopy

Simulation Details Light 0++ ground state as Higgs Impostor LHC-Reachable Resonance Candidates ρ,a0,a1 Lightest Baryon N Summary

Conclusion

Review: Sextet model as Composite Higgs candidate Review: Sextet model as Composite Higgs candidate

• Previously. . . (Fodor et al, PoS (LATTICE 2014) 244)

3.2 3.25 β 2 4 6 8 10 12 14 16 18 20 M / F 0.492 0.984 1.476 1.968 2.46 2.952 3.444 3.936 4.428 4.92 M / TeV MN Ma1 Mρ Ma0 Mf0

Patterns emerged:

Light 0++ (f0) as Higgs Impostor ρ, a0 and a1 are within LHC’s reach N was first obtained

Systematics have to be dealt with more carefully This talk is the report of preliminary results from an ongoing follow-up study with extended data

5 / 16

Hadron Spectroscopy with a low-mass composite scalar in the sextet model Chik Him (Ricky) Wong Outline Review Hadron Spectroscopy

Simulation Details Light 0++ ground state as Higgs Impostor LHC-Reachable Resonance Candidates ρ,a0,a1 Lightest Baryon N Summary

Conclusion

Review: Sextet model as Composite Higgs candidate Review: Sextet model as Composite Higgs candidate

• Previously. . . (Fodor et al, PoS (LATTICE 2014) 244)

3.2 3.25 β 2 4 6 8 10 12 14 16 18 20 M / F 0.492 0.984 1.476 1.968 2.46 2.952 3.444 3.936 4.428 4.92 M / TeV MN Ma1 Mρ Ma0 Mf0

Patterns emerged:

Light 0++ (f0) as Higgs Impostor ρ, a0 and a1 are within LHC’s reach N was first obtained

Systematics have to be dealt with more carefully This talk is the report of preliminary results from an ongoing follow-up study with extended data

5 / 16

Hadron Spectroscopy with a low-mass composite scalar in the sextet model Chik Him (Ricky) Wong Outline Review Hadron Spectroscopy

Simulation Details Light 0++ ground state as Higgs Impostor LHC-Reachable Resonance Candidates ρ,a0,a1 Lightest Baryon N Summary

Conclusion

Hadron Spectroscopy on Extended Dataset - Simulation Details Hadron Spectroscopy on Extended Dataset - Simulation Details

Action: Tree-level Symanzik-Improved gauge action with Staggered Nf = 2 Sextet SU(3) fermions RHMC algorithm with multiple time scales and Omelyan integrator β ≡ 6/g2 = 3.20, 3.25 and 3.30, which is in the weak coupling regime Lattices available:( ∼ 2000−9000 Trajectories each)

β L T m β L T m 3.20 56 96 0.001−0.002 3.25 64 96 0.001 48 96 0.001−0.004 56 96 0.001−0.002 40 80 0.002−0.004 48 96 0.001−0.004 32 64 0.003−0.008 40 80 0.002−0.004 28 56 0.003−0.008 32 64 0.004−0.008 24 48 0.003−0.014 28 56 0.003−0.008 3.30 64 96 0.001 24 48 0.003−0.008 56 96 0.001−0.002 32 64 0.005−0.010

6 / 16

Hadron Spectroscopy with a low-mass composite scalar in the sextet model Chik Him (Ricky) Wong Outline Review Hadron Spectroscopy

Simulation Details Light 0++ ground state as Higgs Impostor LHC-Reachable Resonance Candidates ρ,a0,a1 Lightest Baryon N Summary

Conclusion

Hadron Spectroscopy on Extended Dataset - Simulation Details Hadron Spectroscopy on Extended Dataset - Simulation Details

Action: Tree-level Symanzik-Improved gauge action with Staggered Nf = 2 Sextet SU(3) fermions RHMC algorithm with multiple time scales and Omelyan integrator β ≡ 6/g2 = 3.20, 3.25 and 3.30, which is in the weak coupling regime Lattices available:( ∼ 2000−9000 Trajectories each)

β L T m β L T m 3.20 56 96 0.001−0.002 3.25 64 96 0.001 48 96 0.001−0.004 56 96 0.001−0.002 40 80 0.002−0.004 48 96 0.001−0.004 32 64 0.003−0.008 40 80 0.002−0.004 28 56 0.003−0.008 32 64 0.004−0.008 24 48 0.003−0.014 28 56 0.003−0.008 3.30 64 96 0.001 24 48 0.003−0.008 56 96 0.001−0.002 32 64 0.005−0.010

6 / 16

Hadron Spectroscopy with a low-mass composite scalar in the sextet model Chik Him (Ricky) Wong Outline Review Hadron Spectroscopy

Simulation Details Light 0++ ground state as Higgs Impostor LHC-Reachable Resonance Candidates ρ,a0,a1 Lightest Baryon N Summary

Conclusion

Hadron Spectroscopy on Extended Dataset - Simulation Details Hadron Spectroscopy on Extended Dataset - Simulation Details

Action: Tree-level Symanzik-Improved gauge action with Staggered Nf = 2 Sextet SU(3) fermions RHMC algorithm with multiple time scales and Omelyan integrator β ≡ 6/g2 = 3.20, 3.25 and 3.30, which is in the weak coupling regime Lattices available:( ∼ 2000−9000 Trajectories each)

β L T m β L T m 3.20 56 96 0.001−0.002 3.25 64 96 0.001 48 96 0.001−0.004 56 96 0.001−0.002 40 80 0.002−0.004 48 96 0.001−0.004 32 64 0.003−0.008 40 80 0.002−0.004 28 56 0.003−0.008 32 64 0.004−0.008 24 48 0.003−0.014 28 56 0.003−0.008 3.30 64 96 0.001 24 48 0.003−0.008 56 96 0.001−0.002 32 64 0.005−0.010

6 / 16

Hadron Spectroscopy with a low-mass composite scalar in the sextet model Chik Him (Ricky) Wong Outline Review Hadron Spectroscopy

Simulation Details Light 0++ ground state as Higgs Impostor LHC-Reachable Resonance Candidates ρ,a0,a1 Lightest Baryon N Summary

Conclusion

Hadron Spectroscopy on Extended Dataset - Simulation Details Hadron Spectroscopy on Extended Dataset - Simulation Details

Action: Tree-level Symanzik-Improved gauge action with Staggered Nf = 2 Sextet SU(3) fermions RHMC algorithm with multiple time scales and Omelyan integrator β ≡ 6/g2 = 3.20, 3.25 and 3.30, which is in the weak coupling regime Lattices available:( ∼ 2000−9000 Trajectories each)

β L T m β L T m 3.20 56 96 0.001−0.002 3.25 64 96 0.001 48 96 0.001−0.004 56 96 0.001−0.002 40 80 0.002−0.004 48 96 0.001−0.004 32 64 0.003−0.008 40 80 0.002−0.004 28 56 0.003−0.008 32 64 0.004−0.008 24 48 0.003−0.014 28 56 0.003−0.008 3.30 64 96 0.001 24 48 0.003−0.008 56 96 0.001−0.002 32 64 0.005−0.010

6 / 16

Hadron Spectroscopy with a low-mass composite scalar in the sextet model Chik Him (Ricky) Wong Outline Review Hadron Spectroscopy

Simulation Details Light 0++ ground state as Higgs Impostor LHC-Reachable Resonance Candidates ρ,a0,a1 Lightest Baryon N Summary

Conclusion

Hadron Spectroscopy on Extended Dataset - Simulation Details Hadron Spectroscopy on Extended Dataset - Simulation Details

Thermalization is monitored by E at Wilson or Symanzik flow time tflow = 20 with dt = 0.05 Examples:

2000 3000 4000 5000 6000 7000 8000 9000 MD time 3.0e-04 3.5e-04 4.0e-04 4.5e-04 E L=48

3x96, β=3.25, m=0.002, wilson flow tflow= 20, dt=0.05

250 500 750 1000 1250 1500 MD time 3.2e-04 3.4e-04 3.6e-04 3.8e-04 E L=64

3x96, β=3.25, m=0.001, wilson flow tflow=20, dt=0.05

7 / 16

Hadron Spectroscopy with a low-mass composite scalar in the sextet model Chik Him (Ricky) Wong Outline Review Hadron Spectroscopy

Simulation Details Light 0++ ground state as Higgs Impostor LHC-Reachable Resonance Candidates ρ,a0,a1 Lightest Baryon N Summary

Conclusion

Hadron Spectroscopy on Extended Dataset - Simulation Details Hadron Spectroscopy on Extended Dataset - Simulation Details

Thermalization is monitored by E at Wilson or Symanzik flow time tflow = 20 with dt = 0.05 Examples:

2000 3000 4000 5000 6000 7000 8000 9000 MD time 3.0e-04 3.5e-04 4.0e-04 4.5e-04 E L=48

3x96, β=3.25, m=0.002, wilson flow tflow= 20, dt=0.05

250 500 750 1000 1250 1500 MD time 3.2e-04 3.4e-04 3.6e-04 3.8e-04 E L=64

3x96, β=3.25, m=0.001, wilson flow tflow=20, dt=0.05

7 / 16

Hadron Spectroscopy with a low-mass composite scalar in the sextet model Chik Him (Ricky) Wong Outline Review Hadron Spectroscopy

Simulation Details Light 0++ ground state as Higgs Impostor LHC-Reachable Resonance Candidates ρ,a0,a1 Lightest Baryon N Summary

Conclusion

Hadron Spectroscopy on Extended Dataset - Finite Size Scaling Hadron Spectroscopy on Extended Dataset - Finite Size Scaling

Volume Dependence is mild

35 40 45 50 55 60

L/a

0.06 0.08 0.1 0.12 0.14

Mπ a

β=3.25 m=0.002 45 50 55 60 65

L/a

0.01 0.02 0.03

Fπ a

β=3.25 m=0.001

Largest volume data available (563 ×96 or 643 ×96) are taken as infinite volume values

8 / 16

Hadron Spectroscopy with a low-mass composite scalar in the sextet model Chik Him (Ricky) Wong Outline Review Hadron Spectroscopy

Simulation Details Light 0++ ground state as Higgs Impostor LHC-Reachable Resonance Candidates ρ,a0,a1 Lightest Baryon N Summary

Conclusion

Hadron Spectroscopy on Extended Dataset - Finite Size Scaling Hadron Spectroscopy on Extended Dataset - Finite Size Scaling

Volume Dependence is mild

35 40 45 50 55 60

L/a

0.06 0.08 0.1 0.12 0.14

Mπ a

β=3.25 m=0.002 45 50 55 60 65

L/a

0.01 0.02 0.03

Fπ a

β=3.25 m=0.001

Largest volume data available (563 ×96 or 643 ×96) are taken as infinite volume values

8 / 16

Hadron Spectroscopy with a low-mass composite scalar in the sextet model Chik Him (Ricky) Wong Outline Review Hadron Spectroscopy

Simulation Details Light 0++ ground state as Higgs Impostor LHC-Reachable Resonance Candidates ρ,a0,a1 Lightest Baryon N Summary

Conclusion

Hadron Spectroscopy on Extended Dataset - Mπ Hadron Spectroscopy on Extended Dataset - Mπ

Mπ

0.002 0.004 0.006

m a

0.01 0.02 0.03 0.04 0.05

Mπ

2 a 2 β=3.20 Mπ

2=2B m

2B=6.200(29) Χ

2/dof=2.39

0.002 0.004 0.006

m a

0.01 0.02 0.03 0.04 0.05

Mπ

2 a 2 β=3.25 Mπ

2=2B m

2B=5.369(18) Χ

2/dof=2.52

Consistent with χPT

9 / 16

Hadron Spectroscopy with a low-mass composite scalar in the sextet model Chik Him (Ricky) Wong Outline Review Hadron Spectroscopy

Simulation Details Light 0++ ground state as Higgs Impostor LHC-Reachable Resonance Candidates ρ,a0,a1 Lightest Baryon N Summary

Conclusion

Hadron Spectroscopy on Extended Dataset - Mπ Hadron Spectroscopy on Extended Dataset - Mπ

Mπ

0.002 0.004 0.006

m a

0.01 0.02 0.03 0.04 0.05

Mπ

2 a 2 β=3.20 Mπ

2=2B m

2B=6.200(29) Χ

2/dof=2.39

0.002 0.004 0.006

m a

0.01 0.02 0.03 0.04 0.05

Mπ

2 a 2 β=3.25 Mπ

2=2B m

2B=5.369(18) Χ

2/dof=2.52

Consistent with χPT

9 / 16

Hadron Spectroscopy with a low-mass composite scalar in the sextet model Chik Him (Ricky) Wong Outline Review Hadron Spectroscopy

Simulation Details Light 0++ ground state as Higgs Impostor LHC-Reachable Resonance Candidates ρ,a0,a1 Lightest Baryon N Summary

Conclusion

Hadron Spectroscopy on Extended Dataset - Fπ Hadron Spectroscopy on Extended Dataset - Fπ

Scale setting becomes challenging

0.002 0.004 0.006 0.008 0.01

m a

0.02 0.04 0.06

Fπ a

β=3.20 Fπ=F + pF m F=0.02534(26) pF=3.861(68) Χ

2/dof=2.81

0.002 0.004 0.006 0.008

m a

0.02 0.04 0.06

Fπ a

β=3.25 Fπ=F + pF m F=0.02195(32) pF=3.247(64) Χ

2/dof=1.02

Fπ at small fermion masses deviate from naive linear expectation ⇒ More complicated fit forms needed Improved fit forms should :

Include chiral-log effects Take the corrections from the light scalar into account

New analysis strategies are being developed ⇒ No chiral extrapolations will be attempted in this talk

10 / 16

Hadron Spectroscopy with a low-mass composite scalar in the sextet model Chik Him (Ricky) Wong Outline Review Hadron Spectroscopy

Simulation Details Light 0++ ground state as Higgs Impostor LHC-Reachable Resonance Candidates ρ,a0,a1 Lightest Baryon N Summary

Conclusion

Hadron Spectroscopy on Extended Dataset - Fπ Hadron Spectroscopy on Extended Dataset - Fπ

Scale setting becomes challenging

0.002 0.004 0.006 0.008 0.01

m a

0.02 0.04 0.06

Fπ a

β=3.20 Fπ=F + pF m F=0.02534(26) pF=3.861(68) Χ

2/dof=2.81

0.002 0.004 0.006 0.008

m a

0.02 0.04 0.06

Fπ a

β=3.25 Fπ=F + pF m F=0.02195(32) pF=3.247(64) Χ

2/dof=1.02

Fπ at small fermion masses deviate from naive linear expectation ⇒ More complicated fit forms needed Improved fit forms should :

Include chiral-log effects Take the corrections from the light scalar into account

New analysis strategies are being developed ⇒ No chiral extrapolations will be attempted in this talk

10 / 16

Hadron Spectroscopy with a low-mass composite scalar in the sextet model Chik Him (Ricky) Wong Outline Review Hadron Spectroscopy

Simulation Details Light 0++ ground state as Higgs Impostor LHC-Reachable Resonance Candidates ρ,a0,a1 Lightest Baryon N Summary

Conclusion

Hadron Spectroscopy on Extended Dataset - Fπ Hadron Spectroscopy on Extended Dataset - Fπ

Scale setting becomes challenging

0.002 0.004 0.006 0.008 0.01

m a

0.02 0.04 0.06

Fπ a

β=3.20 Fπ=F + pF m F=0.02534(26) pF=3.861(68) Χ

2/dof=2.81

0.002 0.004 0.006 0.008

m a

0.02 0.04 0.06

Fπ a

β=3.25 Fπ=F + pF m F=0.02195(32) pF=3.247(64) Χ

2/dof=1.02

Fπ at small fermion masses deviate from naive linear expectation ⇒ More complicated fit forms needed Improved fit forms should :

Include chiral-log effects Take the corrections from the light scalar into account

New analysis strategies are being developed ⇒ No chiral extrapolations will be attempted in this talk

10 / 16

Hadron Spectroscopy with a low-mass composite scalar in the sextet model Chik Him (Ricky) Wong Outline Review Hadron Spectroscopy

Simulation Details Light 0++ ground state as Higgs Impostor LHC-Reachable Resonance Candidates ρ,a0,a1 Lightest Baryon N Summary

Conclusion

Hadron Spectroscopy on Extended Dataset - Fπ Hadron Spectroscopy on Extended Dataset - Fπ

Scale setting becomes challenging

0.002 0.004 0.006 0.008 0.01

m a

0.02 0.04 0.06

Fπ a

β=3.20 Fπ=F + pF m F=0.02534(26) pF=3.861(68) Χ

2/dof=2.81

0.002 0.004 0.006 0.008

m a

0.02 0.04 0.06

Fπ a

β=3.25 Fπ=F + pF m F=0.02195(32) pF=3.247(64) Χ

2/dof=1.02

Fπ at small fermion masses deviate from naive linear expectation ⇒ More complicated fit forms needed Improved fit forms should :

Include chiral-log effects Take the corrections from the light scalar into account

New analysis strategies are being developed ⇒ No chiral extrapolations will be attempted in this talk

10 / 16

Hadron Spectroscopy with a low-mass composite scalar in the sextet model Chik Him (Ricky) Wong Outline Review Hadron Spectroscopy

Simulation Details Light 0++ ground state as Higgs Impostor LHC-Reachable Resonance Candidates ρ,a0,a1 Lightest Baryon N Summary

Conclusion

Hadron Spectroscopy on Extended Dataset - Fπ Hadron Spectroscopy on Extended Dataset - Fπ

Scale setting becomes challenging

0.002 0.004 0.006 0.008 0.01

m a

0.02 0.04 0.06

Fπ a

β=3.20 Fπ=F + pF m F=0.02534(26) pF=3.861(68) Χ

2/dof=2.81

0.002 0.004 0.006 0.008

m a

0.02 0.04 0.06

Fπ a

β=3.25 Fπ=F + pF m F=0.02195(32) pF=3.247(64) Χ

2/dof=1.02

Fπ at small fermion masses deviate from naive linear expectation ⇒ More complicated fit forms needed Improved fit forms should :

Include chiral-log effects Take the corrections from the light scalar into account

New analysis strategies are being developed ⇒ No chiral extrapolations will be attempted in this talk

10 / 16

Hadron Spectroscopy with a low-mass composite scalar in the sextet model Chik Him (Ricky) Wong Outline Review Hadron Spectroscopy

Simulation Details Light 0++ ground state as Higgs Impostor LHC-Reachable Resonance Candidates ρ,a0,a1 Lightest Baryon N Summary

Conclusion

Hadron Spectroscopy on Extended Dataset - Fπ Hadron Spectroscopy on Extended Dataset - Fπ

Scale setting becomes challenging

0.002 0.004 0.006 0.008 0.01

m a

0.02 0.04 0.06

Fπ a

β=3.20 Fπ=F + pF m F=0.02534(26) pF=3.861(68) Χ

2/dof=2.81

0.002 0.004 0.006 0.008

m a

0.02 0.04 0.06

Fπ a

β=3.25 Fπ=F + pF m F=0.02195(32) pF=3.247(64) Χ

2/dof=1.02

Fπ at small fermion masses deviate from naive linear expectation ⇒ More complicated fit forms needed Improved fit forms should :

Include chiral-log effects Take the corrections from the light scalar into account

New analysis strategies are being developed ⇒ No chiral extrapolations will be attempted in this talk

10 / 16

Hadron Spectroscopy with a low-mass composite scalar in the sextet model Chik Him (Ricky) Wong Outline Review Hadron Spectroscopy

Simulation Details Light 0++ ground state as Higgs Impostor LHC-Reachable Resonance Candidates ρ,a0,a1 Lightest Baryon N Summary

Conclusion

Hadron Spectroscopy on Extended Dataset - Light f0 as Higgs Impostor Hadron Spectroscopy on Extended Dataset - Light f0 as Higgs Impostor

Fermionic operator (f0) is used Costly to compute the disconnected piece ⇒ Stochastic estimation with Dilution improvement is used Typically Noisy ⇒ Improvements such as Variational Method, Boosted operators and Faster inverters are planned

0.01 0.02 0.03 0.04 0.05 Mπ

2

1 2 3 4 5 6 M / Fπ β=3.25 0.01 0.02 0.03 0.04 0.05 Mπ

2

1 2 3 4 5 6 M / Fπ 0.5 1 1.5 M / TeV f0 β=3.20 Decreasing Mπ Decreasing Mπ

Mf0 remains low at 2 to 3 Fπ

11 / 16

Hadron Spectroscopy with a low-mass composite scalar in the sextet model Chik Him (Ricky) Wong Outline Review Hadron Spectroscopy

Simulation Details Light 0++ ground state as Higgs Impostor LHC-Reachable Resonance Candidates ρ,a0,a1 Lightest Baryon N Summary

Conclusion

Hadron Spectroscopy on Extended Dataset - Light f0 as Higgs Impostor Hadron Spectroscopy on Extended Dataset - Light f0 as Higgs Impostor

Fermionic operator (f0) is used Costly to compute the disconnected piece ⇒ Stochastic estimation with Dilution improvement is used Typically Noisy ⇒ Improvements such as Variational Method, Boosted operators and Faster inverters are planned

0.01 0.02 0.03 0.04 0.05 Mπ

2

1 2 3 4 5 6 M / Fπ β=3.25 0.01 0.02 0.03 0.04 0.05 Mπ

2

1 2 3 4 5 6 M / Fπ 0.5 1 1.5 M / TeV f0 β=3.20 Decreasing Mπ Decreasing Mπ

Mf0 remains low at 2 to 3 Fπ

11 / 16

Hadron Spectroscopy with a low-mass composite scalar in the sextet model Chik Him (Ricky) Wong Outline Review Hadron Spectroscopy

Simulation Details Light 0++ ground state as Higgs Impostor LHC-Reachable Resonance Candidates ρ,a0,a1 Lightest Baryon N Summary

Conclusion

Hadron Spectroscopy on Extended Dataset - Light f0 as Higgs Impostor Hadron Spectroscopy on Extended Dataset - Light f0 as Higgs Impostor

Fermionic operator (f0) is used Costly to compute the disconnected piece ⇒ Stochastic estimation with Dilution improvement is used Typically Noisy ⇒ Improvements such as Variational Method, Boosted operators and Faster inverters are planned

0.01 0.02 0.03 0.04 0.05 Mπ

2

1 2 3 4 5 6 M / Fπ β=3.25 0.01 0.02 0.03 0.04 0.05 Mπ

2

1 2 3 4 5 6 M / Fπ 0.5 1 1.5 M / TeV f0 β=3.20 Decreasing Mπ Decreasing Mπ

Mf0 remains low at 2 to 3 Fπ

11 / 16

Hadron Spectroscopy with a low-mass composite scalar in the sextet model Chik Him (Ricky) Wong Outline Review Hadron Spectroscopy

Simulation Details Light 0++ ground state as Higgs Impostor LHC-Reachable Resonance Candidates ρ,a0,a1 Lightest Baryon N Summary

Conclusion

Hadron Spectroscopy on Extended Dataset - Light f0 as Higgs Impostor Hadron Spectroscopy on Extended Dataset - Light f0 as Higgs Impostor

Fermionic operator (f0) is used Costly to compute the disconnected piece ⇒ Stochastic estimation with Dilution improvement is used Typically Noisy ⇒ Improvements such as Variational Method, Boosted operators and Faster inverters are planned

0.01 0.02 0.03 0.04 0.05 Mπ

2

1 2 3 4 5 6 M / Fπ β=3.25 0.01 0.02 0.03 0.04 0.05 Mπ

2

1 2 3 4 5 6 M / Fπ 0.5 1 1.5 M / TeV f0 β=3.20 Decreasing Mπ Decreasing Mπ

Mf0 remains low at 2 to 3 Fπ

11 / 16

Hadron Spectroscopy with a low-mass composite scalar in the sextet model Chik Him (Ricky) Wong Outline Review Hadron Spectroscopy

Simulation Details Light 0++ ground state as Higgs Impostor LHC-Reachable Resonance Candidates ρ,a0,a1 Lightest Baryon N Summary

Conclusion

Hadron Spectroscopy on Extended Dataset - LHC-Reachable Resonance Candidates Hadron Spectroscopy on Extended Dataset - LHC-Reachable Resonance Candidates

ρ, a0 and a1

0.01 0.02 0.03 0.04 0.05 Mπ

2

4 6 8 10 12 M / Fπ β=3.25 0.01 0.02 0.03 0.04 0.05 Mπ

2

4 5 6 7 8 9 10 11 12 13 M / Fπ 1 1.5 2 2.5 3 M / TeV a1 ρ a0 β=3.20 Decreasing Mπ Decreasing Mπ

In the range of 6 to 10 Fπ ⇒ Lowest states within reach of LHC Fun Fact: The observed excess in LHC as a walking techni-ρ candidate is at 2 TeV (≈ 8Fπ)! Coincidence? Really?

12 / 16

Hadron Spectroscopy with a low-mass composite scalar in the sextet model Chik Him (Ricky) Wong Outline Review Hadron Spectroscopy

Simulation Details Light 0++ ground state as Higgs Impostor LHC-Reachable Resonance Candidates ρ,a0,a1 Lightest Baryon N Summary

Conclusion

Hadron Spectroscopy on Extended Dataset - LHC-Reachable Resonance Candidates Hadron Spectroscopy on Extended Dataset - LHC-Reachable Resonance Candidates

ρ, a0 and a1

0.01 0.02 0.03 0.04 0.05 Mπ

2

4 6 8 10 12 M / Fπ β=3.25 0.01 0.02 0.03 0.04 0.05 Mπ

2

4 5 6 7 8 9 10 11 12 13 M / Fπ 1 1.5 2 2.5 3 M / TeV a1 ρ a0 β=3.20 Decreasing Mπ Decreasing Mπ

In the range of 6 to 10 Fπ ⇒ Lowest states within reach of LHC Fun Fact: The observed excess in LHC as a walking techni-ρ candidate is at 2 TeV (≈ 8Fπ)! Coincidence? Really?

12 / 16

Hadron Spectroscopy with a low-mass composite scalar in the sextet model Chik Him (Ricky) Wong Outline Review Hadron Spectroscopy

Simulation Details Light 0++ ground state as Higgs Impostor LHC-Reachable Resonance Candidates ρ,a0,a1 Lightest Baryon N Summary

Conclusion

Hadron Spectroscopy on Extended Dataset - LHC-Reachable Resonance Candidates Hadron Spectroscopy on Extended Dataset - LHC-Reachable Resonance Candidates

ρ, a0 and a1

0.01 0.02 0.03 0.04 0.05 Mπ

2

4 6 8 10 12 M / Fπ β=3.25 0.01 0.02 0.03 0.04 0.05 Mπ

2

4 5 6 7 8 9 10 11 12 13 M / Fπ 1 1.5 2 2.5 3 M / TeV a1 ρ a0 β=3.20 Decreasing Mπ Decreasing Mπ

In the range of 6 to 10 Fπ ⇒ Lowest states within reach of LHC Fun Fact: The observed excess in LHC as a walking techni-ρ candidate is at 2 TeV (≈ 8Fπ)! Coincidence? Really?

12 / 16

Hadron Spectroscopy with a low-mass composite scalar in the sextet model Chik Him (Ricky) Wong Outline Review Hadron Spectroscopy

Simulation Details Light 0++ ground state as Higgs Impostor LHC-Reachable Resonance Candidates ρ,a0,a1 Lightest Baryon N Summary

Conclusion

Hadron Spectroscopy on Extended Dataset - Lightest Baryon N Hadron Spectroscopy on Extended Dataset - Lightest Baryon N

The lightest baryon N is tricky to be constructed due to symmetric color structure ⇒ Nonlocal operator required (Zoltan et al, PoS (LATTICE 2014) 270)

0.01 0.02 0.03 0.04 0.05 Mπ

2

6 7 8 9 10 11 12 13 14 15 M / Fπ β=3.25 0.01 0.02 0.03 0.04 0.05 Mπ

2

6 7 8 9 10 11 12 13 14 15 M / Fπ 1.5 2 2.5 3 3.5 M / TeV N β=3.20 Decreasing Mπ Decreasing Mπ

Dark Matter candidate?

Fractionally-Charged ⇐ strictly constrained experimentally Requires modification or extension of the model to possibly become Dark Matter candidates

Interesting channel, whether Dark Matter candidate or not Stays heavy at 10 to 12 Fπ

13 / 16

Hadron Spectroscopy with a low-mass composite scalar in the sextet model Chik Him (Ricky) Wong Outline Review Hadron Spectroscopy

Simulation Details Light 0++ ground state as Higgs Impostor LHC-Reachable Resonance Candidates ρ,a0,a1 Lightest Baryon N Summary

Conclusion

Hadron Spectroscopy on Extended Dataset - Lightest Baryon N Hadron Spectroscopy on Extended Dataset - Lightest Baryon N

The lightest baryon N is tricky to be constructed due to symmetric color structure ⇒ Nonlocal operator required (Zoltan et al, PoS (LATTICE 2014) 270)

0.01 0.02 0.03 0.04 0.05 Mπ

2

6 7 8 9 10 11 12 13 14 15 M / Fπ β=3.25 0.01 0.02 0.03 0.04 0.05 Mπ

2

6 7 8 9 10 11 12 13 14 15 M / Fπ 1.5 2 2.5 3 3.5 M / TeV N β=3.20 Decreasing Mπ Decreasing Mπ

Dark Matter candidate?

Fractionally-Charged ⇐ strictly constrained experimentally Requires modification or extension of the model to possibly become Dark Matter candidates

Interesting channel, whether Dark Matter candidate or not Stays heavy at 10 to 12 Fπ

13 / 16

Hadron Spectroscopy with a low-mass composite scalar in the sextet model Chik Him (Ricky) Wong Outline Review Hadron Spectroscopy

Simulation Details Light 0++ ground state as Higgs Impostor LHC-Reachable Resonance Candidates ρ,a0,a1 Lightest Baryon N Summary

Conclusion

Hadron Spectroscopy on Extended Dataset - Lightest Baryon N Hadron Spectroscopy on Extended Dataset - Lightest Baryon N

The lightest baryon N is tricky to be constructed due to symmetric color structure ⇒ Nonlocal operator required (Zoltan et al, PoS (LATTICE 2014) 270)

0.01 0.02 0.03 0.04 0.05 Mπ

2

6 7 8 9 10 11 12 13 14 15 M / Fπ β=3.25 0.01 0.02 0.03 0.04 0.05 Mπ

2

6 7 8 9 10 11 12 13 14 15 M / Fπ 1.5 2 2.5 3 3.5 M / TeV N β=3.20 Decreasing Mπ Decreasing Mπ

Dark Matter candidate?

Fractionally-Charged ⇐ strictly constrained experimentally Requires modification or extension of the model to possibly become Dark Matter candidates

Interesting channel, whether Dark Matter candidate or not Stays heavy at 10 to 12 Fπ

13 / 16

Hadron Spectroscopy with a low-mass composite scalar in the sextet model Chik Him (Ricky) Wong Outline Review Hadron Spectroscopy

Simulation Details Light 0++ ground state as Higgs Impostor LHC-Reachable Resonance Candidates ρ,a0,a1 Lightest Baryon N Summary

Conclusion

Hadron Spectroscopy on Extended Dataset - Lightest Baryon N Hadron Spectroscopy on Extended Dataset - Lightest Baryon N

The lightest baryon N is tricky to be constructed due to symmetric color structure ⇒ Nonlocal operator required (Zoltan et al, PoS (LATTICE 2014) 270)

0.01 0.02 0.03 0.04 0.05 Mπ

2

6 7 8 9 10 11 12 13 14 15 M / Fπ β=3.25 0.01 0.02 0.03 0.04 0.05 Mπ

2

6 7 8 9 10 11 12 13 14 15 M / Fπ 1.5 2 2.5 3 3.5 M / TeV N β=3.20 Decreasing Mπ Decreasing Mπ

Dark Matter candidate?

Fractionally-Charged ⇐ strictly constrained experimentally Requires modification or extension of the model to possibly become Dark Matter candidates

Interesting channel, whether Dark Matter candidate or not Stays heavy at 10 to 12 Fπ

13 / 16

Hadron Spectroscopy with a low-mass composite scalar in the sextet model Chik Him (Ricky) Wong Outline Review Hadron Spectroscopy

Simulation Details Light 0++ ground state as Higgs Impostor LHC-Reachable Resonance Candidates ρ,a0,a1 Lightest Baryon N Summary

Conclusion

Hadron Spectroscopy on Extended Dataset - Lightest Baryon N Hadron Spectroscopy on Extended Dataset - Lightest Baryon N

The lightest baryon N is tricky to be constructed due to symmetric color structure ⇒ Nonlocal operator required (Zoltan et al, PoS (LATTICE 2014) 270)

0.01 0.02 0.03 0.04 0.05 Mπ

2

6 7 8 9 10 11 12 13 14 15 M / Fπ β=3.25 0.01 0.02 0.03 0.04 0.05 Mπ

2

6 7 8 9 10 11 12 13 14 15 M / Fπ 1.5 2 2.5 3 3.5 M / TeV N β=3.20 Decreasing Mπ Decreasing Mπ

Dark Matter candidate?

Fractionally-Charged ⇐ strictly constrained experimentally Requires modification or extension of the model to possibly become Dark Matter candidates

Interesting channel, whether Dark Matter candidate or not Stays heavy at 10 to 12 Fπ

13 / 16

Hadron Spectroscopy with a low-mass composite scalar in the sextet model Chik Him (Ricky) Wong Outline Review Hadron Spectroscopy

Simulation Details Light 0++ ground state as Higgs Impostor LHC-Reachable Resonance Candidates ρ,a0,a1 Lightest Baryon N Summary

Conclusion

Hadron Spectroscopy on Extended Dataset - Lightest Baryon N Hadron Spectroscopy on Extended Dataset - Lightest Baryon N

The lightest baryon N is tricky to be constructed due to symmetric color structure ⇒ Nonlocal operator required (Zoltan et al, PoS (LATTICE 2014) 270)

0.01 0.02 0.03 0.04 0.05 Mπ

2

6 7 8 9 10 11 12 13 14 15 M / Fπ β=3.25 0.01 0.02 0.03 0.04 0.05 Mπ

2

6 7 8 9 10 11 12 13 14 15 M / Fπ 1.5 2 2.5 3 3.5 M / TeV N β=3.20 Decreasing Mπ Decreasing Mπ

Dark Matter candidate?

Fractionally-Charged ⇐ strictly constrained experimentally Requires modification or extension of the model to possibly become Dark Matter candidates

Interesting channel, whether Dark Matter candidate or not Stays heavy at 10 to 12 Fπ

13 / 16

Hadron Spectroscopy with a low-mass composite scalar in the sextet model Chik Him (Ricky) Wong Outline Review Hadron Spectroscopy

Simulation Details Light 0++ ground state as Higgs Impostor LHC-Reachable Resonance Candidates ρ,a0,a1 Lightest Baryon N Summary

Conclusion

Hadron Spectroscopy on Extended Dataset Hadron Spectroscopy on Extended Dataset

Summary:

0.01 0.02 0.03 0.04 0.05 Mπ

2

2 4 6 8 10 12 14 M / Fπ a0 π f0 β=3.25 0.01 0.02 0.03 0.04 0.05 Mπ

2

2 4 6 8 10 12 14 M / Fπ 0.5 1 1.5 2 2.5 3 M / TeV N a1 ρ β=3.20 Decreasing Mπ Decreasing Mπ

It is observed that the ratios change slowly in the range of the data. Assuming similar ratios at the chiral limit and F ≡ Fπ(Mπ → 0) ∼ 250 GeV,

MN 10−12F ∼ 2.5−3 TeV Ma1 9−11F ∼ 2.25−2.75 TeV Mρ 7−8F ∼ 1.75−2 TeV Ma0 6−7F ∼ 1.5−1.75 TeV Mf0 2−3F ∼ 0.5−0.7 TeV

14 / 16

Hadron Spectroscopy with a low-mass composite scalar in the sextet model Chik Him (Ricky) Wong Outline Review Hadron Spectroscopy

Simulation Details Light 0++ ground state as Higgs Impostor LHC-Reachable Resonance Candidates ρ,a0,a1 Lightest Baryon N Summary

Conclusion

Hadron Spectroscopy on Extended Dataset Hadron Spectroscopy on Extended Dataset

Summary:

0.01 0.02 0.03 0.04 0.05 Mπ

2

2 4 6 8 10 12 14 M / Fπ a0 π f0 β=3.25 0.01 0.02 0.03 0.04 0.05 Mπ

2

2 4 6 8 10 12 14 M / Fπ 0.5 1 1.5 2 2.5 3 M / TeV N a1 ρ β=3.20 Decreasing Mπ Decreasing Mπ

It is observed that the ratios change slowly in the range of the data. Assuming similar ratios at the chiral limit and F ≡ Fπ(Mπ → 0) ∼ 250 GeV,

MN 10−12F ∼ 2.5−3 TeV Ma1 9−11F ∼ 2.25−2.75 TeV Mρ 7−8F ∼ 1.75−2 TeV Ma0 6−7F ∼ 1.5−1.75 TeV Mf0 2−3F ∼ 0.5−0.7 TeV

14 / 16

Hadron Spectroscopy with a low-mass composite scalar in the sextet model Chik Him (Ricky) Wong Outline Review Hadron Spectroscopy

Simulation Details Light 0++ ground state as Higgs Impostor LHC-Reachable Resonance Candidates ρ,a0,a1 Lightest Baryon N Summary

Conclusion

Conclusion Conclusion

Hadron Spectroscopy of the sextet model is continued with extended dataset:

Naive linear fittings no longer applicable at smaller fermion masses ⇒ A more comprehensive analysis is needed for a proper prediction from chiral extrapolation Assuming mild dependence of mass ratios on fermion mass,

Higgs Impostor remains light: Mf0 ∼ 2−3Fπ Radiative corrections due to top quarks can turn it into a Higgs Impostor

(Foadi et al, Phys. Rev. D 87, 095001)

LHC-Reachable Resonance Candidates: Mρ,Ma0 and Ma1 ∼ 6−11Fπ, can be searched for in LHC, and a hint for ρ may have already been

• bserved

Lightest Baryon: As heavy as MN ∼ 10−12Fπ Fractionally-charged ⇒ unlikely to be Dark Matter candidate, but it is interesting on its own

How much of our results are affected by lattice artifacts? ⇒ Study

• n Taste breaking effects and Restorations (details in Santanu

Mondal’s talk 17:10)

15 / 16

Hadron Spectroscopy with a low-mass composite scalar in the sextet model Chik Him (Ricky) Wong Outline Review Hadron Spectroscopy

Simulation Details Light 0++ ground state as Higgs Impostor LHC-Reachable Resonance Candidates ρ,a0,a1 Lightest Baryon N Summary

Conclusion

Conclusion Conclusion

Hadron Spectroscopy of the sextet model is continued with extended dataset:

Naive linear fittings no longer applicable at smaller fermion masses ⇒ A more comprehensive analysis is needed for a proper prediction from chiral extrapolation Assuming mild dependence of mass ratios on fermion mass,

Higgs Impostor remains light: Mf0 ∼ 2−3Fπ Radiative corrections due to top quarks can turn it into a Higgs Impostor

(Foadi et al, Phys. Rev. D 87, 095001)

LHC-Reachable Resonance Candidates: Mρ,Ma0 and Ma1 ∼ 6−11Fπ, can be searched for in LHC, and a hint for ρ may have already been

• bserved

Lightest Baryon: As heavy as MN ∼ 10−12Fπ Fractionally-charged ⇒ unlikely to be Dark Matter candidate, but it is interesting on its own

How much of our results are affected by lattice artifacts? ⇒ Study

• n Taste breaking effects and Restorations (details in Santanu

Mondal’s talk 17:10)

15 / 16

Hadron Spectroscopy with a low-mass composite scalar in the sextet model Chik Him (Ricky) Wong Outline Review Hadron Spectroscopy

Simulation Details Light 0++ ground state as Higgs Impostor LHC-Reachable Resonance Candidates ρ,a0,a1 Lightest Baryon N Summary

Conclusion

Conclusion Conclusion

Hadron Spectroscopy of the sextet model is continued with extended dataset:

Naive linear fittings no longer applicable at smaller fermion masses ⇒ A more comprehensive analysis is needed for a proper prediction from chiral extrapolation Assuming mild dependence of mass ratios on fermion mass,

Higgs Impostor remains light: Mf0 ∼ 2−3Fπ Radiative corrections due to top quarks can turn it into a Higgs Impostor

(Foadi et al, Phys. Rev. D 87, 095001)

LHC-Reachable Resonance Candidates: Mρ,Ma0 and Ma1 ∼ 6−11Fπ, can be searched for in LHC, and a hint for ρ may have already been

• bserved

Lightest Baryon: As heavy as MN ∼ 10−12Fπ Fractionally-charged ⇒ unlikely to be Dark Matter candidate, but it is interesting on its own

How much of our results are affected by lattice artifacts? ⇒ Study

• n Taste breaking effects and Restorations (details in Santanu

Mondal’s talk 17:10)

15 / 16

Hadron Spectroscopy with a low-mass composite scalar in the sextet model Chik Him (Ricky) Wong Outline Review Hadron Spectroscopy

Simulation Details Light 0++ ground state as Higgs Impostor LHC-Reachable Resonance Candidates ρ,a0,a1 Lightest Baryon N Summary

Conclusion

Conclusion Conclusion

Hadron Spectroscopy of the sextet model is continued with extended dataset:

Naive linear fittings no longer applicable at smaller fermion masses ⇒ A more comprehensive analysis is needed for a proper prediction from chiral extrapolation Assuming mild dependence of mass ratios on fermion mass,

Higgs Impostor remains light: Mf0 ∼ 2−3Fπ Radiative corrections due to top quarks can turn it into a Higgs Impostor

(Foadi et al, Phys. Rev. D 87, 095001)

LHC-Reachable Resonance Candidates: Mρ,Ma0 and Ma1 ∼ 6−11Fπ, can be searched for in LHC, and a hint for ρ may have already been

• bserved

Lightest Baryon: As heavy as MN ∼ 10−12Fπ Fractionally-charged ⇒ unlikely to be Dark Matter candidate, but it is interesting on its own

How much of our results are affected by lattice artifacts? ⇒ Study

• n Taste breaking effects and Restorations (details in Santanu

Mondal’s talk 17:10)

15 / 16

Hadron Spectroscopy with a low-mass composite scalar in the sextet model Chik Him (Ricky) Wong Outline Review Hadron Spectroscopy

Simulation Details Light 0++ ground state as Higgs Impostor LHC-Reachable Resonance Candidates ρ,a0,a1 Lightest Baryon N Summary

Conclusion

Conclusion Conclusion

Hadron Spectroscopy of the sextet model is continued with extended dataset:

Naive linear fittings no longer applicable at smaller fermion masses ⇒ A more comprehensive analysis is needed for a proper prediction from chiral extrapolation Assuming mild dependence of mass ratios on fermion mass,

Higgs Impostor remains light: Mf0 ∼ 2−3Fπ Radiative corrections due to top quarks can turn it into a Higgs Impostor

(Foadi et al, Phys. Rev. D 87, 095001)

LHC-Reachable Resonance Candidates: Mρ,Ma0 and Ma1 ∼ 6−11Fπ, can be searched for in LHC, and a hint for ρ may have already been

• bserved

Lightest Baryon: As heavy as MN ∼ 10−12Fπ Fractionally-charged ⇒ unlikely to be Dark Matter candidate, but it is interesting on its own

How much of our results are affected by lattice artifacts? ⇒ Study

• n Taste breaking effects and Restorations (details in Santanu

Mondal’s talk 17:10)

15 / 16

Hadron Spectroscopy with a low-mass composite scalar in the sextet model Chik Him (Ricky) Wong Outline Review Hadron Spectroscopy

Simulation Details Light 0++ ground state as Higgs Impostor LHC-Reachable Resonance Candidates ρ,a0,a1 Lightest Baryon N Summary

Conclusion

Conclusion Conclusion

Hadron Spectroscopy of the sextet model is continued with extended dataset:

Naive linear fittings no longer applicable at smaller fermion masses ⇒ A more comprehensive analysis is needed for a proper prediction from chiral extrapolation Assuming mild dependence of mass ratios on fermion mass,

Higgs Impostor remains light: Mf0 ∼ 2−3Fπ Radiative corrections due to top quarks can turn it into a Higgs Impostor

(Foadi et al, Phys. Rev. D 87, 095001)

LHC-Reachable Resonance Candidates: Mρ,Ma0 and Ma1 ∼ 6−11Fπ, can be searched for in LHC, and a hint for ρ may have already been

• bserved

Lightest Baryon: As heavy as MN ∼ 10−12Fπ Fractionally-charged ⇒ unlikely to be Dark Matter candidate, but it is interesting on its own

How much of our results are affected by lattice artifacts? ⇒ Study

• n Taste breaking effects and Restorations (details in Santanu

Mondal’s talk 17:10)

15 / 16

Hadron Spectroscopy with a low-mass composite scalar in the sextet model Chik Him (Ricky) Wong Outline Review Hadron Spectroscopy

Simulation Details Light 0++ ground state as Higgs Impostor LHC-Reachable Resonance Candidates ρ,a0,a1 Lightest Baryon N Summary

Conclusion

Conclusion Conclusion

Hadron Spectroscopy of the sextet model is continued with extended dataset:

Naive linear fittings no longer applicable at smaller fermion masses ⇒ A more comprehensive analysis is needed for a proper prediction from chiral extrapolation Assuming mild dependence of mass ratios on fermion mass,

Higgs Impostor remains light: Mf0 ∼ 2−3Fπ Radiative corrections due to top quarks can turn it into a Higgs Impostor

(Foadi et al, Phys. Rev. D 87, 095001)

LHC-Reachable Resonance Candidates: Mρ,Ma0 and Ma1 ∼ 6−11Fπ, can be searched for in LHC, and a hint for ρ may have already been

• bserved

Lightest Baryon: As heavy as MN ∼ 10−12Fπ Fractionally-charged ⇒ unlikely to be Dark Matter candidate, but it is interesting on its own

How much of our results are affected by lattice artifacts? ⇒ Study

• n Taste breaking effects and Restorations (details in Santanu

Mondal’s talk 17:10)

15 / 16

Hadron Spectroscopy with a low-mass composite scalar in the sextet model Chik Him (Ricky) Wong Outline Review Hadron Spectroscopy

Simulation Details Light 0++ ground state as Higgs Impostor LHC-Reachable Resonance Candidates ρ,a0,a1 Lightest Baryon N Summary

Conclusion

M/Mπ vs M2

π

M/Mπ vs M2

π

0.01 0.02 0.03 0.04 0.05 Mπ

2

1 2 3 4 M / Mπ a0 f0 β=3.25 0.01 0.02 0.03 0.04 0.05 Mπ

2

1 2 3 4 M / Mπ N a1 ρ β=3.20 Decreasing Mπ Decreasing Mπ

16 / 16