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
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
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
Introduction Introduction ✷ In the MSSM, for TeV-scale values of the SUSY–breaking scale M S : 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
Introduction Introduction ✷ In the MSSM, for TeV-scale values of the SUSY–breaking scale M S : 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) m h ≈ 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
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
The model The model ✷ Symmetry group : SU ( 3 ) c × SU ( 2 ) L × U ( 1 ) Y × U ′ ( 1 ) � Coupling constants : g 3 , g 2 , g Y and g ′ 5 1 = 3 g Y ✷ U ′ ( 1 ) stems from string-inspired E 6 : E 6 → SU ( 3 ) c × SU ( 2 ) L × U ( 1 ) Y × U ( 1 ) χ × U ( 1 ) ψ ⇒ U ′ ( 1 ) charge : Q ′ = cos θ E 6 Q ′ χ + sin θ E 6 Q ′ ψ , θ E 6 ∈ [ − π/ 2 , π/ 2 ] ✷ MSSM fields + RH (s)neutrinos + new gauge boson (gaugino) + new singlet (singlino) + O ( TeVs ) Q ′ Q ′ Q ′ Q ′ Q ′ Q ′ Q ′ Q ′ Q ′ u ν e Q d L H u H d S √ 40 Q ′ − 1 − 1 3 3 − 5 − 1 2 − 2 0 √ χ 24 Q ′ 1 1 1 1 1 1 − 2 − 2 4 ψ ✷ Superpotential : ν ∗ R y ν � W UMSSM = W MSSM | µ = 0 + λ SH u H d + ˜ LH u + O ( TeVs ) ✷ As the NMSSM, this model solves the µ problem : µ = λ v s √ 2 ✷ Higgs sector : MSSM fields + 1 singlet ⇒ 3 CP-even Higgs bosons h i , i ∈ { 1 , 2 , 3 } New D-terms for the SM-like Higgs boson : Z cos 2 2 β + 1 2 λ 2 v 2 sin 2 2 β + g ′ 2 H d cos 2 β + Q ′ H u sin 2 β ) 2 + ∆m 2 m 2 h 1 ≤ M 2 1 v 2 ( Q ′ h Jonathan Da Silva ( LAPTh ) The Higgs sector in the UMSSM LAL, July 25, 2013 7 / 18
The model The model ✷ Gauge sector : Physical abelian gauge bosons : Z 1 and Z 2 , mixing between the Z of the SM and the Z ′ , α Z is the mixing angle ⇒ tan β constrained ✷ Gauginos sector : 6 neutralinos in the basis ( � B , � W 3 , � d , � u , � S , � H 0 H 0 B ′ ) ✷ To sum up : Jonathan Da Silva ( LAPTh ) The Higgs sector in the UMSSM LAL, July 25, 2013 8 / 18
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
Constraints Constraints ✹ Z ′ heavy ⇒ heavy singlet-like Higgs boson ⇒ h 2 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
Constraints Constraints ✹ Z ′ heavy ⇒ heavy singlet-like Higgs boson ⇒ h 2 mostly doublet-like ✹ DM observables for either neutralino or RH sneutrino DM candidate ✹ m h 1 ∈ [ 120 . 63 , 130 . 63 ] GeV ✹ Higgs boson signal strengths and low energy observables ⇒ Modification of the NMSSMTools code : UMSSMTools Observable Value B ( B ± → τ ± ν τ ) (0.99 ± 0.25) × 10 − 4 UTfit (2.95 + 0 . 74 B ( B 0 s → µ + µ − ) − 0 . 67 ) × 10 − 9 LHCb + CMS 17.719 ± 0.043 ps − 1 HFAG ∆ M s 0.507 ± 0.004 ps − 1 HFAG ∆ M d B 0 → X s γ ) B (¯ (3.55 ± 0.24 ± 0.09) × 10 − 4 HFAG Parameter Range Parameter Range m ˜ [0.05, 2] TeV A λ [0, 4] TeV ν R M Z 2 [2.2, 7] TeV A t , A b , A τ [-4, 4] TeV [-10 − 3 , 10 − 3 ] rad α Z m ˜ Q 3 , m ˜ u 3 , m ˜ d 3 , m ˜ L 3 , m ˜ [0, 2] TeV e 3 µ, M 1 , M ′ θ E 6 [- π /2, π /2] rad [0.1, 2] TeV 1 Jonathan Da Silva ( LAPTh ) The Higgs sector in the UMSSM LAL, July 25, 2013 11 / 18
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
Results Results ✷ tan β ≈ 1 + TeV-scale M S ⇒ expected m h 1 : 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
Results Results ✷ Important UMSSM contribution to sfermion mass (dependent on θ E 6 ) : 2 Q ′ ∆ f = 1 2 g ′ f ( Q ′ H d v 2 d + Q ′ H u v 2 u + Q ′ S v 2 s ) 1 ⇒ Condition on neutral LSP put strong constraints on θ E 6 Jonathan Da Silva ( LAPTh ) The Higgs sector in the UMSSM LAL, July 25, 2013 14 / 18
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
Results Results ✷ Prospects for h 2 searches Jonathan Da Silva ( LAPTh ) The Higgs sector in the UMSSM LAL, July 25, 2013 16 / 18
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
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 M S ✷ 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
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 M S ✷ 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
BACKUP BACKUP Jonathan Da Silva ( LAPTh ) The Higgs sector in the UMSSM LAL, July 25, 2013 18 / 18
BACKUP BACKUP Jonathan Da Silva ( LAPTh ) The Higgs sector in the UMSSM LAL, July 25, 2013 18 / 18
Recommend
More recommend
