The Higgs sector in U ( 1 ) extensions of the MSSM Jonathan Da Silva - - PowerPoint PPT Presentation

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The Higgs sector in U ( 1 ) extensions of the MSSM Jonathan Da Silva - - PowerPoint PPT Presentation

The Higgs sector in U ( 1 ) extensions of the MSSM Jonathan Da Silva Laboratoire dAnnecy-le-Vieux de Physique Th eorique, France Higgs Hunting, LAL, Orsay, July 25, 2013 G. B elanger, J. Da Silva and A. Pukhov, in preparation Jonathan


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The Higgs sector in U(1) extensions of the MSSM

Jonathan Da Silva

Laboratoire d’Annecy-le-Vieux de Physique Th´ eorique, France Higgs Hunting, LAL, Orsay, July 25, 2013

  • G. B´

elanger, J. Da Silva and A. Pukhov, in preparation Jonathan Da Silva (LAPTh) The Higgs sector in the UMSSM LAL, July 25, 2013 1 / 18

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Outline

Outline

1

Introduction

2

The model

3

Constraints

4

Results

5

Conclusions

Jonathan Da Silva (LAPTh) The Higgs sector in the UMSSM LAL, July 25, 2013 2 / 18

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SLIDE 3

Introduction

Introduction

1

Introduction

2

The model

3

Constraints

4

Results

5

Conclusions

Jonathan Da Silva (LAPTh) The Higgs sector in the UMSSM LAL, July 25, 2013 3 / 18

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Introduction

Introduction

✷ In the MSSM, for TeV-scale values of the SUSY–breaking scale MS : SM-like Higgs boson mass ≈ 125 GeV + very small tan β, i.e. ≈ 1 ⇒ tricky ⇒ Higgs boson mass of 125 GeV requires large tan β

  • A. Djouadi, J. Quevillon, arXiv :1304.1787

Jonathan Da Silva (LAPTh) The Higgs sector in the UMSSM LAL, July 25, 2013 4 / 18

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Introduction

Introduction

✷ In the MSSM, for TeV-scale values of the SUSY–breaking scale MS : SM-like Higgs boson mass ≈ 125 GeV + very small tan β, i.e. ≈ 1 ⇒ tricky ⇒ Higgs boson mass of 125 GeV requires large tan β ✷ In singlet extension (e.g. NMSSM) mh ≈ 125 GeV can be achieved with tan β ≈ 2

What about extending the gauge symmetry ? ➜ Here : the UMSSM

Jonathan Da Silva (LAPTh) The Higgs sector in the UMSSM LAL, July 25, 2013 5 / 18

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The model

The model

1

Introduction

2

The model

3

Constraints

4

Results

5

Conclusions

Jonathan Da Silva (LAPTh) The Higgs sector in the UMSSM LAL, July 25, 2013 6 / 18

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The model

The model

✷ Symmetry group : SU(3)c × SU(2)L × U(1)Y × U′(1) Coupling constants : g3, g2, gY and g′

1 =

  • 5

3 gY

✷ U′(1) stems from string-inspired E6 : E6 → SU(3)c × SU(2)L × U(1)Y × U(1)χ × U(1)ψ ⇒ U′(1) charge : Q′ = cos θE6Q′

χ + sin θE6Q′ ψ,

θE6 ∈ [−π/2, π/2] ✷ MSSM fields + RH (s)neutrinos + new gauge boson (gaugino) + new singlet (singlino) + O(TeVs) Q′

Q

Q′

u

Q′

d

Q′

L

Q′

ν

Q′

e

Q′

Hu

Q′

Hd

Q′

S

√ 40Q′

χ

−1 −1 3 3 −5 −1 2 −2 √ 24Q′

ψ

1 1 1 1 1 1 −2 −2 4 ✷ Superpotential : WUMSSM = WMSSM|µ=0 + λSHuHd + ˜ ν∗

Ryν

LHu + O(TeVs) ✷ As the NMSSM, this model solves the µ problem : µ = λ vs

√ 2

✷ Higgs sector : MSSM fields + 1 singlet ⇒ 3 CP-even Higgs bosons hi, i ∈ {1, 2, 3} New D-terms for the SM-like Higgs boson : m2

h1 ≤ M2 Z cos2 2β + 1 2λ2v2 sin2 2β + g′2 1 v2(Q′ Hd cos2 β + Q′ Hu sin2 β)2 + ∆m2 h Jonathan Da Silva (LAPTh) The Higgs sector in the UMSSM LAL, July 25, 2013 7 / 18

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The model

The model

✷ Gauge sector : Physical abelian gauge bosons : Z1 and Z2, mixing between the Z

  • f the SM and the Z′, αZ is the mixing angle ⇒ tan β constrained

✷ Gauginos sector : 6 neutralinos in the basis ( B, W3, H0

d,

H0

u,

S, B′) ✷ To sum up :

Jonathan Da Silva (LAPTh) The Higgs sector in the UMSSM LAL, July 25, 2013 8 / 18

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Constraints

Constraints

1

Introduction

2

The model

3

Constraints

4

Results

5

Conclusions

Jonathan Da Silva (LAPTh) The Higgs sector in the UMSSM LAL, July 25, 2013 9 / 18

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Constraints

Constraints

✹ Z′ heavy ⇒ heavy singlet-like Higgs boson ⇒ h2 mostly doublet-like

ATLAS Collaboration, http ://cds.cern.ch/record/1525524 Jonathan Da Silva (LAPTh) The Higgs sector in the UMSSM LAL, July 25, 2013 10 / 18

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Constraints

Constraints

✹ Z′ heavy ⇒ heavy singlet-like Higgs boson ⇒ h2 mostly doublet-like ✹ DM observables for either neutralino or RH sneutrino DM candidate ✹ mh1 ∈ [120.63, 130.63] GeV ✹ Higgs boson signal strengths and low energy observables ⇒ Modification of the NMSSMTools code : UMSSMTools Observable Value B(B± → τ ±ντ) (0.99 ± 0.25)× 10−4 UTfit B(B0

s → µ+µ−)

(2.95 + 0.74

− 0.67)× 10−9 LHCb + CMS

∆Ms 17.719 ± 0.043 ps−1 HFAG ∆Md 0.507 ± 0.004 ps−1 HFAG B(¯ B0 → Xsγ) (3.55 ± 0.24 ± 0.09)× 10−4 HFAG Parameter Range Parameter Range m˜

νR

[0.05, 2] TeV Aλ [0, 4] TeV MZ2 [2.2, 7] TeV At, Ab, Aτ [-4, 4] TeV αZ [-10−3, 10−3] rad m˜

Q3, m˜ u3, m˜ d3, m˜ L3, m˜ e3

[0, 2] TeV θE6 [-π/2, π/2] rad µ, M1, M′

1

[0.1, 2] TeV

Jonathan Da Silva (LAPTh) The Higgs sector in the UMSSM LAL, July 25, 2013 11 / 18

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Results

Results

1

Introduction

2

The model

3

Constraints

4

Results

5

Conclusions

Jonathan Da Silva (LAPTh) The Higgs sector in the UMSSM LAL, July 25, 2013 12 / 18

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Results

Results

✷ tan β ≈ 1 + TeV-scale MS ⇒ expected mh1 : large contribution from pure UMSSM as well as one-loop stop terms

Jonathan Da Silva (LAPTh) The Higgs sector in the UMSSM LAL, July 25, 2013 13 / 18

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Results

Results

✷ Important UMSSM contribution to sfermion mass (dependent on θE6) : ∆f = 1

2 g′ 1 2Q′ f(Q′ Hdv2 d + Q′ Huv2 u + Q′ Sv2 s )

⇒ Condition on neutral LSP put strong constraints on θE6

Jonathan Da Silva (LAPTh) The Higgs sector in the UMSSM LAL, July 25, 2013 14 / 18

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Results

Results

✷ Higgs signal strength mostly compatible with current limits (here using G. Belanger et al, arXiv :1306.2941)

Jonathan Da Silva (LAPTh) The Higgs sector in the UMSSM LAL, July 25, 2013 15 / 18

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Results

Results

✷ Prospects for h2 searches

Jonathan Da Silva (LAPTh) The Higgs sector in the UMSSM LAL, July 25, 2013 16 / 18

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Conclusions

Conclusions

1

Introduction

2

The model

3

Constraints

4

Results

5

Conclusions

Jonathan Da Silva (LAPTh) The Higgs sector in the UMSSM LAL, July 25, 2013 17 / 18

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Conclusions

Conclusions

✷ Discovery (Higgs boson), bounds (exotic particles, DM) ⇒ strong constraints on the UMSSM ✷ New D-terms ⇒ low tan β values still allowed for TeV-scale MS ✷ Second Higgs doublet can be search for at LHC (when not too heavy, i.e. 1 TeV)

Jonathan Da Silva (LAPTh) The Higgs sector in the UMSSM LAL, July 25, 2013 18 / 18

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Conclusions

Conclusions

✷ Discovery (Higgs boson), bounds (exotic particles, DM) ⇒ strong constraints on the UMSSM ✷ New D-terms ⇒ low tan β values still allowed for TeV-scale MS ✷ Second Higgs doublet can be search for at LHC (when not too heavy, i.e. 1 TeV)

Thanks !

Jonathan Da Silva (LAPTh) The Higgs sector in the UMSSM LAL, July 25, 2013 18 / 18

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BACKUP

BACKUP

Jonathan Da Silva (LAPTh) The Higgs sector in the UMSSM LAL, July 25, 2013 18 / 18

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BACKUP

BACKUP

Jonathan Da Silva (LAPTh) The Higgs sector in the UMSSM LAL, July 25, 2013 18 / 18