All Scalars from one Source: All Scalars from one Source: - - PowerPoint PPT Presentation

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All Scalars from one Source: All Scalars from one Source: - - PowerPoint PPT Presentation

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All Scalars from one Source: All Scalars from one Source: Axiflavon-Higgs Axiflavon-Higgs Unification Unification Moriond EW 2019 Moriond EW 2019 La Thuile La Thuile Florian Goertz Florian Goertz 18.3.2019 18.3.2019 Alanne, Blasi, FG,

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Florian Goertz Florian Goertz

All Scalars from one Source: All Scalars from one Source: Axiflavon-Higgs Axiflavon-Higgs Unification Unification

Moriond EW 2019 Moriond EW 2019 La Thuile La Thuile

18.3.2019 18.3.2019

Alanne, Blasi, FG, PRD99 (2019) 015028 Calibbi, FG, Redigolo, Ziegler, Zupan, PRD95 (2017), 095009

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Florian Goertz Moriond EW 2019, La Thuile, 18.3.19

Physics Beyond the SM

Three of the Major Open Questions in Particle Physics

  • Gravity SM
  • Hierarchy Problem: mh << MPL
  • Grand Unification of Forces?
  • Hierarchical Flavor Structure
  • Baryogenesis → Existence of Universe
  • Dark Matter SM
  • Trigger for Symmetry-Breaking Potential?
  • Strong CP Problem
  • …

Mw

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Florian Goertz Moriond EW 2019, La Thuile, 18.3.19

Solution to The Flavor Puzzle

  • Large hierarchies in quark + lepton masses

and in CKM matrix ...

… can be addressed via horizontal U(1)H symmetry:

  • LH and RH fermions feature different U(1)H charges
  • Mass terms only after U(1)H broken via VEV of scalar field:

Flavon F

Froggatt-Nielsen mechanism: NPB 147, 277,...

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Florian Goertz Moriond EW 2019, La Thuile, 18.3.19

  • Large hierarchies in fermion masses and in CKM matrix ...

Froggatt-Nielsen mechanism: NPB 147, 277,...

→

O(1) flavor structure

Solution to The Flavor Puzzle

heavy Q

→ suppression by

U(1)H charge

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Florian Goertz Moriond EW 2019, La Thuile, 18.3.19

  • Large hierarchies in fermion masses and in CKM matrix ...

Froggatt-Nielsen mechanism: NPB 147, 277,...

O(1) flavor structure

Solution to The Flavor Puzzle

heavy Q

→ suppression by

U(1)H charge

masses + mixings → Hierarchical masses and mixings:

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Florian Goertz Moriond EW 2019, La Thuile, 18.3.19

Axion Solution to Strong CP Problem

Why is the coefficient of the CP operator so tiny? Promote from parameter to dynamical variable: axion = PNGB of spontaneously broken U(1)PQ symmetry

Potential induced by QCD instantons

→ minimum CP conserving → term vanishes

Peccei, Quinn, PRL 38, 1440, Vafa, Witten, PRL 53, 535

Wilczek, PRL 40, 279 (1978), Weinberg, PRL 40, 223 (1978)

Neutron EDM:

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Florian Goertz Moriond EW 2019, La Thuile, 18.3.19

A Unified Solution: The Axiflavon

see also: Ema, Hamaguchi, Moroi, Nakayama, 1612.05492, Wilczek, PRL 49, 1549 (1982), ...

Can both frameworks be unified : 'single' solution for two problems?

U(1)H ↔ U(1)PQ

consider one complex scalar (single U(1)), unifying axion and flavon → Solves flavor puzzle + solves strong CP problem: axiflavon = axion

don't gauge U(1)H

  • f FN mech. ...

flavon axiflavon

^

axiflavon = light PNGB, small mass induced by anomaly heavy flavon

di Cortona, Hardy, Pardo Vega, Villadoro, 1511.02867

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Florian Goertz Moriond EW 2019, La Thuile, 18.3.19

The Axiflavon: Very Predictive

flavon axiflavon

  • axiflavon couplings to fermions

non-universal (generation-dependent charges) → FCNCs

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Florian Goertz Moriond EW 2019, La Thuile, 18.3.19

New Way To Search for Axion: Flavor

  • strong bounds from Kaon Physics ( transitions):

E787, E949

O(1) [model dependent]

stringent limit:

Kamenik, Smith, 1111.6402

NA62 (Fantechi, 1407.821): O(10) improvement

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Florian Goertz Moriond EW 2019, La Thuile, 18.3.19

New Way To Search for Axion: Flavor

  • further bounds from B-Physics ( transitions):

Belle-II

  • strong bounds from Kaon Physics ( transitions):

E787, E949

stringent limit:

Kamenik, Smith, 1111.6402

Axion couplings as window to flavor dynamics

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Florian Goertz Moriond EW 2019, La Thuile, 18.3.19

The Axiflavon: Photon Couplings

  • axiflavon couplings to gluons/photons

color anomaly electromagnetic anomaly

→ Can be directly related to fermion mass matrices:

99.9%

Froggatt, Nielsen: NPB 147, 277,...

not very sensitive to O(1) changes in aij somewhat similar to DFSZ axion

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Florian Goertz Moriond EW 2019, La Thuile, 18.3.19

The Axiflavon: Dark Matter

  • U(1)H-breaking before inflation → vacuum realignment mechanism

→ axions as cold dark matter

  • Require

→ always possible (with q<p) if

axion-string density diluted by inflation misalignment angle

vacuum realignment

Sandbox Studio, Chicago with Ana Kova

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Florian Goertz Moriond EW 2019, La Thuile, 18.3.19

Summary of Constraints

KSVZ, DFSZ:

a affects gravitational wave emission of rotating BH (rotating BEC of axions), imprint in spin vs. mass plots Primakoff production of a in core of SN: , converted to photons in galactic B field → gamma rays (SMM satellite) Primakoff a losses affect stellar evolution (Globular Cluster) a emissions in white dwarfs due to bremsstrahlung → coupling (WD cooling) Telescopes, searching for irregularities in g-ray spectrum (g-a oscil.)

microwave signal in cavity (strong B-field) magnetic resonance exp. axion helioscope (a->g in B-field)

  • magn. flux in superc. loop

flavor, cosmology, axion searches → potentially telling apart general axion solution from axiflavon

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Florian Goertz Moriond EW 2019, La Thuile, 18.3.19

The Axiflavon

Flavor Puzzle Strong CP Problem

Axiflavon

Dark Matter

Strong CP ↔ Flavor ↔ Cosmology

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Florian Goertz Moriond EW 2019, La Thuile, 18.3.19

One Step Further

Four of the Major Open Questions in Particle Physics

  • Gravity SM
  • Hierarchy Problem: mh << MPL
  • Grand Unification of Forces?
  • Hierarchical Flavor Structure
  • Baryogenesis → Existence of Universe
  • Dark Matter SM
  • Trigger for Symmetry-Breaking Potential?
  • Strong CP Problem
  • …

Mw

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Florian Goertz Moriond EW 2019, La Thuile, 18.3.19

One Step Further:

Axiflavon-Higgs Unification

Unify axion, flavon, & Higgs in single multiplet transforms under enlarged global symmetry

PQ-axion

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Florian Goertz Moriond EW 2019, La Thuile, 18.3.19

One Step Further:

Axiflavon-Higgs Unification

Unify axion, flavon, & Higgs in single multiplet transforms under enlarged global symmetry Spontaneous breaking of → axion & Higgs as (pseudo-)Goldstones flavon = heavy radial mode Radiative EWSB via Coleman-Weinberg Potential

see also Axion-Higgs Unif., Redi, Strumia, 1208.6013

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Florian Goertz Moriond EW 2019, La Thuile, 18.3.19

Setup

alternative: instead of

( ) ( )

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Florian Goertz Moriond EW 2019, La Thuile, 18.3.19

Setup

Linear Sigma model for After spon. symmetry breaking:

( ) ( )

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Florian Goertz Moriond EW 2019, La Thuile, 18.3.19

Setup

Linear Sigma model for After spon. symmetry breaking:

heavy doublet flavon (heavy) Goldstone axion Goldstone Higgs

( ) ( )

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Florian Goertz Moriond EW 2019, La Thuile, 18.3.19

Setup

Realization of FN messengers: , spinor of , vector-like under SM fermions: not filling SO(5) [spurions in spinorial rep].

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Florian Goertz Moriond EW 2019, La Thuile, 18.3.19

Froggat Nielsen at work: tL-cR system

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Florian Goertz Moriond EW 2019, La Thuile, 18.3.19

The Coleman-Weinberg Potential

top most relevant for explicit breaking → potential Match to SM potential at scale m

expand

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Florian Goertz Moriond EW 2019, La Thuile, 18.3.19

The Coleman-Weinberg Potential

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Florian Goertz Moriond EW 2019, La Thuile, 18.3.19

The Coleman-Weinberg Potential

Top mass → + all dimensionless numbers of order top yukawa, spread d

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Florian Goertz Moriond EW 2019, La Thuile, 18.3.19

Running of the quartic

SM running allowed region from matching

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Florian Goertz Moriond EW 2019, La Thuile, 18.3.19

Axiflavon Constraints

flavor

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Florian Goertz Moriond EW 2019, La Thuile, 18.3.19

Including RH neutrinos

Envisage realizing neutrino masses via FN assisted Type-I seesaw

no standard QCD axion

Gherghetta, Nagata, Shifman, 1604.01127 Gaillard, Gavela, Houtz, Quilez, Rey, 1805.06465

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Florian Goertz Moriond EW 2019, La Thuile, 18.3.19

… solves Flavor Puzzle, strong CP problem, Dark Matter + dynamical EWSB connected with origin

  • f fermion mass hierarchies

Vanishing of Higgs quartic around 1010 GeV, just around natural scale for axiflavon dark matter, might hint both to Goldstone nature of the Higgs and to a connection between these two scalar sectors

Axiflavon-Higgs Unification

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Florian Goertz Moriond EW 2019, La Thuile, 18.3.19

The Axiflavon-Higgs

Flavor Puzzle Strong CP Problem Dark Matter

Strong CP ↔ Flavor ↔ Cosmology ↔ EWSB

  • Electroweak Symmetry

Breaking

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Florian Goertz Moriond EW 2019, La Thuile, 18.3.19

Axiflavon-Higgs Unification

Four of the Major Open Questions in Particle Physics

  • Gravity SM
  • Hierarchy Problem: mh << MPL
  • Grand Unification of Forces?
  • Hierarchical Flavor Structure
  • Baryogenesis → Existence of Universe
  • Dark Matter SM
  • Trigger for Symmetry-Breaking Potential?
  • Strong CP Problem
  • …

Mw

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Florian Goertz Moriond EW 2019, La Thuile, 18.3.19

Future Directions

Five of the Major Open Questions in Particle Physics

  • Gravity SM
  • Hierarchy Problem: mh << MPL
  • Grand Unification of Forces?
  • Hierarchical Flavor Structure
  • Baryogenesis → Existence of Universe
  • Dark Matter SM
  • Trigger for Symmetry-Breaking Potential?
  • Strong CP Problem
  • …

Mw

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Florian Goertz Moriond EW 2019, La Thuile, 18.3.19

Future Directions

Six of the Major Open Questions in Particle Physics

  • Gravity SM
  • Hierarchy Problem: mh << MPL
  • Grand Unification of Forces?
  • Hierarchical Flavor Structure
  • Baryogenesis → Existence of Universe
  • Dark Matter SM
  • Trigger for Symmetry-Breaking Potential?
  • Strong CP Problem

Mw

  • Cosmic Inflation
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Florian Goertz Moriond EW 2019, La Thuile, 18.3.19

Future Directions

Six of the Major Open Questions in Particle Physics

  • Gravity SM
  • Hierarchy Problem: mh << MPL
  • Grand Unification of Forces?
  • Hierarchical Flavor Structure
  • Baryogenesis → Existence of Universe
  • Dark Matter SM
  • Trigger for Symmetry-Breaking Potential?
  • Strong CP Problem

Mw

  • Cosmic Inflation

low-scale model

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Florian Goertz Moriond EW 2019, La Thuile, 18.3.19

Thank you!

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Florian Goertz Moriond EW 2019, La Thuile, 18.3.19

Backup: Photon Couplings

flavon axiflavon

  • axiflavon couplings to gluons/photons

N,E determined completely in terms of U(1)H charges

  • Can be directly related to fermion mass matrices:

Masses at m=109 GeV from Xing, Zhang, Zhou, 0712.1419

Froggatt, Nielsen: NPB 147, 277,...

  • somewhat similar to DFSZ axion
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Florian Goertz Moriond EW 2019, La Thuile, 18.3.19

Backup :Strong CP Problem

Why is the coefficient of the CP operator so tiny? Limits on Neutron EDMs: receives ( ) contributions from two different sectors: Fine-tuning problem!

Theta-vacua of QCD Electroweak Sector

Crewther, Vecchia, Veneziano, Witten, PLB88, 123-127 (1979), Baker et. al., hep-ex/0602020

No anthropic reasoning or the like: would be perfectly fine

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Florian Goertz Moriond EW 2019, La Thuile, 18.3.19

Backup: One Step Further:

Axiflavon-Higgs Unification

Unify axion, flavon, & Higgs in single multiplet transforms under enlarged global symmetry Spontaneous breaking of → axion & Higgs as (pseudo-)Goldstones flavon = heavy radial mode Besides axiflavon-Higgs unification: ad flavor story to elementary Goldstone-Higgs scenario (no partial-compositeness)

see also Axion-Higgs Unif., Redi, Strumia, 1208.6013

Alanne, Gertov, Sannino, Tuominen, 1411.6132 Alanne, Meroni, Sannino, Tuominen, 1511.01910

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Florian Goertz Moriond EW 2019, La Thuile, 18.3.19

Backup: Photon Couplings

N,E determined completely in terms of U(1)H charges

  • axiflavon couplings to gluons/photons

color anomaly electromagnetic anomaly

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Florian Goertz Moriond EW 2019, La Thuile, 18.3.19

Backup: Setup

Linear Sigma model for Sources of explicit breaking:

➢ Gauging of ➢ Embedding of SM-like fermions ➢ QCD anomaly

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Florian Goertz Moriond EW 2019, La Thuile, 18.3.19

Backup: New search for Axion: Flavor

  • strong bounds from Kaon Physics ( transitions):

E787, E949

define

O(1) [model dependent]

stringent limit:

Kamenik, Smith, 1111.6402

NA62 (Fantechi, 1407.821): O(10) improvement