Impact of a CP-violating Higgs Boson

Transcription

1 Impact of a CP-violating Higgs Boson Yue Zhang (Caltech) Talk at Pheno 2013, University of Pittsburgh In collaboration with, Jing Shu, arxiv: ,

2 Higgs Couplings Higgs: always L (v + h) n Beyond : L = m f v f(v + c f h + c f iγ 5 h)f + M 2 W v (v +2ah)W µw µ Effective interactions (d=5) L eff = c g hg aµν G a µν + c g hg aµν Ga µν +c γ hf aµν F a µν + c γ hf aµν F a µν

3 Impact of CP violation Higgs production and decay at LHC Γ(h f f) c f 2 + c f 2 incoherent contributions Γ(h γγ) c γ 2 + c γ ( c f ) 2 σ(gg h) Γ(h gg) c g 2 + c g ( c f ) 2 Sizable CPV effects from EW scale fermion. In real models, a could also be affect by CPV.

4 Connection to Genesis 2HDM: integrating out the a whole doublet (t,b) L eff = g2 i log(φ 1 φ 2) 24π 2 φ 1 φ F aµν a F µν + h.c. 2 Turok, Zadrozny, 90 Include both vev and excitation, again exact up to linear term in h, φ 1 0 v cos βe i c bh/v, φ 2 0 v sin βe iξ+i c th/v High T, B violation L eff = g2 ξ +(h/v)( c t + c b ) 24π 2 φ 1 φ F aµν a F µν 2 ( t ξ) n B h γγ (CPV) c t (ξ) Zero T

5 Type-II 2HDM Yukawa L Y = QY U (iτ 2 )φ 2U + QY d φ 1 D General Higgs potential V (φ 1,φ 2 )= + m 2 12(φ 1 φ 2)+λ 5 (φ 1 φ 2) 2 Choose a basis λ 5 real m 2 complex, and 12 complex vevs φ 1 = 0 v cos β/ 2, φ 2 = 0 v sin βe iξ / 2 Minimization condition, only one CP phase Im(m 2 12e iξ )=(λ 5 sin 2ξ)v 2 sin β cos β,

6 CP-even-odd mixing Mass eigenstates 125 GeV h 1 h 2 = h 3 s α c αb c α c αb s αb s α s αb s αc c α c αc s α c αc c α s αb s αc c αb s αc s α s αb c αc + c α s αc s α s αc c α s αb c αc c αb c αc H 1 H 2 A Higgs couplings, room for CPV c t = cos α cos α b sin β c t = cot β sin α b, a = cos α b sin(β α), c b = sin α cos α b cos β c b = tan β sin α b Pay attention to the case tan β 1, α β π 2 α b depends on vev tan α b λ 5 sin 2ξv 2 m 2 h + +(λ 4 λ 5 cos 2ξ)v 2 /2 ξ

7 Global Fit to Higgs data ATLAS only, tan Β 0.5 CMS only, tan Β 0.5 Combined, tan Β Αb ) enhance h γγ ATLAS only, tan Β 0.8 CMS only, tan Β 0.8 Combined, tan Β Αb When away from : 0.5 2) suppress h V bb 3) slightly suppressed Higgs total width. 1.0 ATLAS only, tan Β 2 CMS only, tan Β 2 Combined, tan Β Αb Α J.Shu,YZ, Α Α

8 Electron EDM tan 2 βim Z 2 = c b c t, cot 2 βim Z 1 = c t c b, (sin 2 β tan 2 βimz 2 + cos 2 βimz 1 )=a c b, Strongest cancellation tan β 1 tan Β0.5 tan Β0.8 tan Β de10 27 e cm Α Α Α J.Shu, YZ,

9 EW baryogenesis The same fermion that modifies Higgs couplings can also provide necessary CPV source. CP violation source ξ (z) Final baryon asymmetry asymmetry b s α4 w ξ Provide a lower bound on the size of CPV angle. ξ(t c ) ξ(t = 0) for m h ~125 GeV Fromme, Huber, Seniuch, hep-ph/

10 Connections 1. α b = ξ(t c ) 10 5 ΘΑb BAU tanβ J.Shu, YZ, If Higgs boson CP violating effect is found at LHC in future, we may be probing the theory for genesis.

11 Direct measure Higgs CP Azimuthal phase shift + q j h Z Z + q g g j h Higgs decay Production

12 Conclusions CP violating Higgs sector with an order one CPV angle is consistent with LHC Higgs data, and electric dipole moments. Close connection to other phenomena, such as baryogenesis. Can also be directly probed with the future LHC data.

13 Conclusions CP violating Higgs sector with an order one CPV angle is consistent with LHC Higgs data, and electric dipole moments. Close connection to other phenomena, such as baryogenesis. Can also be directly probed with the future LHC data. Thank you

14 Backup: Heavy Higgs to WW