SUSY Higgses in the light of LHC discoveries. Jae Sik Lee

Transcription

1 SUSY Higgses in the light of LHC discoveries Jae Sik Lee Chonnam National University, Gwangju PPC0, 5-9 November, KIAS, Korea

2 Preliminary Higgs(?) Discovery : ATLAS (arxiv:07.74) & CMS (arxiv:07.735)

3 Preliminary If Higgs, the SM one?: ATLAS (arxiv:07.74) & CMS (arxiv:07.735)

4 Preliminary Fitting the Higgs data after the LHC discovery including CDF-D0: Low, Lykken, Shaughnessy, arxiv: Giardino, Kannike, Raidal, Strumia, arxiv: Ellis, You, arxiv: Espinosa, Grojean Mühlleitner, Trott, arxiv:07.77 Carmi, Falkowski, Kuflik, Volansky, Zupan, arxiv:0778 etc Sorry for an incomplete list

5 Preliminary For example, Giardino, Kannike, Raidal, Strumia, arxiv: m h 5.5 GeV Χ 9. SM Higgs Χ. best fit: free BR ΓΓ Χ. best fit: free BR ΓΓ, BR gg Χ 3. best fit: free couplings Χ. dilaton Rate SM rate 0 bbv WWV WW ZZ ΓΓ ΓΓ jj ΤΤ The combined fit gives: Rate/SM =.0±0.5 and m h = 5.5±0.54 GeV

6 Preliminary A fit with common-scaling factors of a (hww/hzz) and c (h ff) (left) and a fit with c t and c b = c τ taking a = (right) Giardino, Kannike, Raidal, Strumia, arxiv:07.347: (Left): a > with positive c < or a < with negative c (Right): c b,τ < with positive and negative c t < type II HDM not preferred?

7 Preliminary The Higgs sector of the minimal SUSY model H = ( H 0 H ) H = ( H + H 0 ) H 0 = (φ ia ),H 0 = (φ +ia ) ; φ = vcosβ, φ = vsinβ * Two charged Higgs-boson states H + and H * Three neutral states H [+], H [+], and A[ ] A ) H ( H = a sinβ +a cosβ ( cosα sinα = sinα cosα )( φ φ ) Or, in general, (φ,φ,a) T α = O αi (H,H,H 3 ) T i with M H M H M H3

8 Preliminary The masses and decay patterns of the SUSY Higges depend on: M H ±, tanβ, and µ Third-generation sfermion mass parameters: m Q3, mũ3, m D3, m L3, and mẽ3 Third-generation trilinear parameters: A t, A b, and A τ The gaugino mass parameters: M, M, and M 3 CP phases: Arg(A f µ) and Arg(M i µ) etc

9 Preliminary Today, we concentrate on the MSSM centered around the MHmax scenario : MHmax scenario: Varying M H ± and tanβ m Q3 = mũ3 = m D3 = = mẽ3 = M m L3 SUSY = TeV; µ = 00 GeV,M = 00 GeV,M = 00 GeV,M 3 = 800 GeV; A t = 6M SUSY +µ/tanβ,a b = A τ = A t

10 Contents Direct Limits Higgs Production and H g g couplings H γ γ couplings Two-photon MSSM-to-SM Ratios Some Results Summary

11 Direct Limits LEP limits S. Schael et al., ADLO/LEP WG for Higgs, EPJC47(006) 547, hep-ex/06004 S95 (a) LEP s = 9-09 GeV SM branching ratios For the process e + e H i Z S 95 = σ max /σ ref = g H i VV with 0 - Observed Expected for background g Hi VV = c β O φ i + s β O φ i m H (GeV/c ) M Hi

12 Direct Limits LEP limits continued... S. Schael et al., ADLO/LEP WG for Higgs, EPJC47(006) 547, hep-ex/06004 S 95 (a) For the process e + e H A when M H M A m h -max, tanβ= m H +m H (GeV/c ) S 95 = σ max /σ ref = g H AZ = g H VV with MHmax: g Hi VV = c β O φ i + s β O φ i m Q3 = mũ3 = m D3 = m L3 = mẽ3 = M SUSY = TeV; µ = 00 GeV,M = 00 GeV,M = 00 GeV,M 3 = 800 GeV; A t = 6M SUSY + µ/tanβ,a b = Aτ = A t M H +M A

13 Direct Limits LHC (CMS) limits CMS Collaboration, Search for Neutral Higgs Bosons Decaying to Tau Pairs in pp Collisions at sqrts=7 TeV, CMS-PAS-HIG--09 [pb] 95% CL σ(φ ττ) 0 CMS Preliminary fb s=7 TeV 95% CL Limits Observed Expected ± σ Expected ± σ Expected For the process: pp (H,H,A)X ττ Need to know the absolute production cross sections and the branching ratios into tau leptons Due to the tau-pair mass resolution, M H =30 GeV, one may need to sum over the productions of H,H and A when their masses can not re resolved [GeV] m A σ(pp AX) B(A ττ) + σ(pp φx) B(φ ττ) φ=h,h with M φ M A δm

14 Direct Limits LHC (CMS) limits continued... CMS Collaboration, Search for Neutral Higgs Bosons Decaying to Tau Pairs in pp Collisions at sqrts=7 TeV, CMS-PAS-HIG--09 tanβ CMS Preliminary fb max MSSM m h - 95% CL excluded regions CMS observed ±σ theory CMS expected LEP scenario, M SUSY = TeV For the process: pp (H,H,A)X ττ in the MHmax scenario We have applied the limits in other scenarios also, not only in the MHmax one m A [GeV]

15 MSSM Higgs sector The MSSM Higgs sector H = ( H 0 H ) H = ( H + H 0 ) H 0 = (φ ia ),H 0 = (φ +ia ) ; φ = vcosβ, φ = vsinβ * Two charged Higgs-boson states H + and H * Three neutral states H [+], H [+], and A[ ] A ) H ( H = a sinβ +a cosβ ( cosα sinα = sinα cosα )( φ φ ) Or, in general, (φ,φ,a) T α = O αi (H,H,H 3 ) T i with M H M H M H3

16 Masses and Mixing Typical masses and mixing pattern in the MSSM M H, H, A, H± tanβ = 0, mhmax scenario H± g HVV tanβ = 0, mhmax scenario M H± g HVV tanβ = 0, mhmax scenario M H, H A H H M H± L HVV = gm W ( W + µ W µ + c W i g Hi VV H i Z µ Z µ )

17 Higgs-boson production and the H-g-g couplings Higgs Production: For the production of the neutral MSSM Higgs bosons at the LHC, we have used σ MSSM P (pp H i X) = ( ) Γ MSSM LO P Γ SM P i σ SM P (pp H SM X) MHSM =M Hi with P = ggh,bbh,vvh specifying each production process In this approximation, the squark contributions are neglected when P = ggh ( ) LO Γ Gluon fusion: MSSM ggh Γ SM ggh b-quark fusion: ( i ) LO Γ MSSM bbh Γ SM bbh i = Sg i (M H i ) + P g i (M H i ) S g SM (M H i ) R g H i = with S g SM (M H i ) = f=b,t F sf(τ if ) g S H i bb + g P H i bb /( 4m b /M H i ) Vector-boson fusion ( Γ MSSM) LO VVH Γ SM VVH i = g H i VV

18 Higgs-boson production and the H-g-g couplings Higgs couplings to two gluons: With τ ix = M H i /4m x M gghi = α sm H i δ ab 4πv { S g i (M H i )(ǫ ǫ ) P g i (M H i ) } MH ǫ ǫ k k i S g i (M H i ) = f=b,tg f g S H i f f P g i (M H i ) = f=b,tg f g P H i f f v m f F sf (τ if ) v m f F pf (τ if ) v g Hi f fj F j 4m fj 0 (τ i fj ), f j = t, t, b, b L Hi ff = f=u,d,l g f 3 i= H i f ) (g SHi + ig ff PHi γ ff 5 f For decays, one naturally uses g f = m f (M Hi )/v; (g S,g P ) = (O φ i/c β, O ai tanβ) and (O φ i/s β, O ai cotβ) for f = (l,d) and f = u, respectively, at the tree level.

19 Higgs-boson production and the H-g-g couplings The b-quark contributions to the Higgs couplings to gluons, compared to the t-quark ones, are suppressed not by m t /m b but by the loop functions F sf and F pf F sf (τ).4. Real F pf (τ) 3.5 Real /4/73 Imaginary /4/73 Imaginary τ = M H / 4 m x τ = M H / 4 m x F sf (τ) Absolute /4/4.5 5 /4/ τ = M H / 4 m x F pf (τ) Absolute /4/4.5 5 /4/ τ = M H / 4 m x F sf (5 /4m t) 0 F sf (5 /4(m pole b ) ) 0 F pf (5 /4(m pole b ) )

20 Higgs-boson production and the H-g-g couplings Pole mass or running H? R g H 0 Total (pole mass) b (pole mass) b (running mass) Total (running mass) top 0-3 stop 0-4 sbottom M H It turns out a posteriori that the higher order corrections are minimized by choosing the pole mass m Q for the renormalized quark mass; this is evident from Fig. 7a M. Spira, A. Djouadi, D. Graudenz and P. M. Zerwas, Higgs boson production at the LHC, Nucl. Phys. B 453 (995) 7 [hep-ph/ ]

21 Higgs-boson production and the H-g-g couplings Since F sf (t) 0 F sf,pf (b) for M H 5 GeV, when tanβ 0, the t- and b-quark contributions become comparable for Oφ i/o φ i and b b dom. σ(gg A) σ(gg t t dom. H SM ) σ [ pb ] 0 0 gg H SM (NNLO) gg H SM (NLO) σ [ pb ] 0 tanβ = 0, mhmax scenario s = 7 TeV 0 - VV H SM bb gg (NNLO) gg (NLO) 0 - bb H SM VV M HSM M H, H, A with σ MSSM (pp(gg) AX) = P g A (M H ) / S g A SM (M A) σ SM (pp(gg) H SM X) MHSM =M A where P g A (M H ) = tanβf A pf (MA /4m b ) cotβf pf(ma /4m t ) tanβf pf(ma /4m b ) and S g SM (M A) = f=b,t F sf(m A /4m f ) F sf(m A /4m t )

22 Higgs-boson production and the H-g-g couplings For the smaller and larger tanβ: σ [ pb ] 0 tanβ = 5, mhmax scenario s = 7 TeV σ [ pb ] 0 tanβ = 30, mhmax scenario s = 7 TeV bb gg (NNLO) gg (NLO) 0 bb VV VV gg (NLO) gg (NNLO) M H, H, A M H, H, A When H, H SM, σ(h, ) σ(h SM ) in each production channel σ(gg A) (tanβ/0) σ(gg H SM ) around 5 GeV MHSM =M A σ(bb A) tan β σ(bb H SM ) MHSM =M A

23 H-γ-γ couplings The H-γ-γ couplings: M γγhi = αm H i 4πv { S γ i (M H i ) (ǫ ǫ ) P γ i (M H i ) } MH ǫ ǫ k k i S γ i (M H i ) = f=τ,c,b,t, χ ±, χ± N C Q f g fg S H i ff v m f F sf (τ if ) f j = t, t, b, b, τ, τ N C Q f g H i f j fj v m fj F 0 (τ i fj ) P γ i (M H i ) = g Hi VV F (τ iw ) g Hi H + H v f=τ,c,b,t, χ ±, χ± M H ± F 0 (τ ih ±), N C Q f g fg P H i ff v m f F pf (τ if )

24 H-γ-γ couplings R γ H The H-γ-γ couplings: continued tanβ = 0, mhmax scenario Total W± tau b charginos R γ H i Sγ i (M H i ) + P γ i (M H i ) S γ SM (M H i ) S γ SM (M H i ) = f=b,t,c,τ N C Q f F sf (τ if ) F sf (τ iw ) top charm H± stops Dominated by the W ± loops which destructively interfere with the topquark contributions Remind: The MHmax scenario 0-8 staus m Q3 = mũ3 = m D3 = m L3 = mẽ3 = M SUSY = TeV; µ = 00 GeV,M sbottoms = 00 GeV,M = 00 GeV,M 3 = 800 GeV; A t = 6M SUSY + µ/tanβ,a b = Aτ = A t M H ** Light stau 00 GeV with µ TeV can enhance the stau contribution by a factor of 0 6 easily, Carena, Gori, Shah and Wagner, arxiv:.3336

25 Ratio R Φ The two-photon Ratios R H,H,A: R Φ [ σ MSSM ggh (pp ΦX)+σMSSM bbh (pp ΦX)] Br MSSM (Φ γγ) [ ] σggh SM (pp H SMX)+σbbH SM(pp H SMX) Br SM (H SM γγ) [ ( g R g Φ + S Φ bb + ] g P ) σbbh SM(pp H SMX) Φ bb σggh SM (pp H R γ Φ SMX) with Φ = H,H, or A σsm bbh (pp H SMX) σ SM ggh (pp H SMX) /00 around M = 0 GeV

26 Ratio R Φ The two-photon Ratios R H,H,A: continued... R g H, H, A tanβ = 0, mhmax scenario R γ H, H, A tanβ = 0, mhmax scenario R g H, H, A tanβ = 30, mhmax scenario R γ H, H, A tanβ = 30, mhmax scenario M H, H, A M H, H, A M H, H, A M H, H, A R g x R γ H, H, A tanβ = 0, mhmax scenario R H, H, A tanβ = 0, mhmax scenario R g x R γ H, H, A tanβ = 30, mhmax scenario R H, H, A tanβ = 30, mhmax scenario M H, H, A M H, H, A M H, H, A M H, H, A The ratio larger than is possible even for the CP-odd state A when tanβ is large but tanβ > 0 has been excluded by the searches for Higgs Bosons decaying into tau leptons at the LHC when M < A 0 GeV, see the next page **One may avoid this if B(A,H, ττ) are suppressed? The lower two frames are without (left) and with (right) b-quark fusion

27 Some Results MHmax scenario: tanβ mhmax scenario (LEP LHC) R H, A mhmax scenario LEP LHC M H = 3-7 GeV M A = 3-7 GeV M H = 3-7 GeV 0 - M A = 3-7 GeV M A M A The low tanβ region is excluded by the LEP bounds from e + e H Z The high tanβ region is excluded by the LHC bounds from pp ΦX ττx Further exclusion of the small M A 90 GeV region by the LEP limits from e + e H A The scenario M H = 5 ± GeV is not possible in this scenario

28 Some Results Further varying A t : X t = A t µ/tanβ M H M H± = 400 GeV tanβ = 60 tanβ = 30 M H M H± = 0 GeV tanβ = tanβ = tanβ = tanβ = tanβ = X t X t

29 Some Results MHmax scenario varying A t : tanβ LEP LHC R H, H, A M H + M A 80 GeV M H = 3-7 GeV LEP LHC M H = 3-7 GeV M H + M A 80 GeV M H = 3-7 GeV M A = 3-7 GeV M H = 3-7 GeV 0 - M A = 3-7 GeV M A M A Remind: The MHmax scenario m = mũ3 = m = = mẽ3 = M Q3 D3 m L3 SUSY = TeV; µ = 00 GeV,M = 00 GeV,M = 00 GeV,M 3 = 800 GeV; A t = 6M SUSY + µ/tanβ,a b = Aτ = A t

30 Some Results MHmax scenario varying A t : M H, H, A, H± LEP LHC H± M H, H, A, H± LEP LHC M H + M A 80 GeV A H H± H M H, H, A, H± LEP LHC H± H A 90 H 50 H A H M H± M H± M H± The H scenario: the decoupling limit with M A > 35 GeV... boring? The H scenario: M H M A = 90 0 GeV with M A M H 5 GeV and g H AZ = g H VV > 0.75; M H M H ± = 0 40 GeV... interesting? The A scenario: squeezed spectrum but too small R A excluded?

31 Some Results The H and H scenarios: Varying M H ±, tanβ, and A t R H. R H. R H M A tanβ X t R H.6.4 R H.6.4 R H M A tanβ X t ** Note the allowed parameter space is a bit narrow for the H scenario

32 Some Results Light stau for the H scenario for the larger µ = TeV?: B(H γγ) and B(H Zγ) Correlation between M H MHMAX scenario but with µ = TeV and varying M L3 =M E3 tanβ = 40 tanβ = 30 tanβ = 0 tanβ = 0 tanβ = 50 tanβ = 60 M H± = TeV m ~τ B(H γ γ) MSSM / B(H γ γ) SM MHMAX scenario but with µ = TeV and varying M L3 =M E3 M H± = TeV tanβ = 0 tanβ = 0 tanβ = 30 tanβ = 40 tanβ = 50 tanβ = m ~τ B(H Z γ) MSSM / B(H Z γ) SM MHMAX scenario but with µ = TeV and varying M L3 =M E3 M H± = TeV and m ~τ > 00 GeV tanβ = 40 tanβ = 30 tanβ = 0 tanβ = 0 tanβ = 60 tanβ = B(H γ γ) MSSM / B(H γ γ) SM ** The light stau scenario also works for the (further) enhanced B(H γγ) in the H scenario

33 Some Results The results shown here have been obtained using: CPsuperH.3: an Updated Tool for Phenomenology in the MSSM with Explicit CP Violation, JSL, Carena, Ellis, Pilaftsis, Wagner, e-print: arxiv:08. For studies with a more thorough parameter scan, we refer to S. Heinemeyer, O. Stal, G. Weiglein, Phys. Lett. B 70 (0) 0. arxiv:.306 A. Arbey, M. Battaglia, A. Djouadi, F. Mahmoudi and J. Quevillon, Phys.Lett. B 708 (0) arxiv:.308 P. Draper, P. Meade, M. Reece, D. Shih, arxiv:.3068 M. Carena, S. Gori, N. R. Shah and C. E. M. Wagner, JHEP 03, 04 (0), arxiv:.3336 U. Ellwanger, JHEP 03 (0) 044, arxiv:.3548 S.F. King, M. Muhlleitner, R. Nevzorov, Nucl.Phys. B860 (0) 07-44, arxiv:0.67 J. Cao, Z. Heng, J. M. Yang, Y. Zhang, J. Zhu, JHEP 03 (0) 086, arxiv:0.58 N. Christensen, T. Han, S. Su, arxiv: F. Brummer, S. Kraml, S. Kulkarni, arxiv: M. Badziak, E. Dudas, M. Olechowski and S. Pokorski, arxiv: J. L. Feng, D. Sanford, arxiv:05.37 M. Carena, S. Gori, N. R. Shah, C. E. M. Wagner and L. Wang, arxiv: M. W. Cahill-Rowley, J. L. Hewett, A. Ismail, T. G. Rizzo, arxiv: Hagiwara, JSL, Nakamura, JHEP 0 (0) 00, arxiv: M. Drees, arxiv: etc Sorry again for an incomplete list

34 Summary Both the ATLAS and CMS collaborations observed a bump around 5 GeV In the MSSM, we have the three neutral Higgs bosons decaying into two photons M H 5 GeV?: possible when the heavier Higgses are heavier than 35 GeV (A), 40 GeV (H ), 55 GeV (H ± )... in the so-called decoupling limit M H 5 GeV?: possible with M H M A = 90 0 GeV and M H ± = 0 40 GeV. The MSSM-to-SM ratio can be as large as.4 when tanβ M A 5 GeV?: very unlikely due to too small photonic branching ratio and the stringent limits on tanβ from the Higgs decays into tau leptons

35 Backup Slides BACKUP SLIDES

36 Direct Limits Tevatron ( LEP) limits CDF, Phys.Rev.Lett. 96 (006) 04003, e-print: hep-ex/ (GeV/ c ) Theoretically inaccessible SM Expected SM ± σ Expected CDF Run II Excluded LEP Excluded ± Theoretically inaccessible From the searches for charged Higgs bosons from top quark decays There may be a bit stronger/weaker bounds, depending on MSSM scenarios, see the next page m H LEP (ALEPH, DELPHI, L3 and OPAL) ± ± Assuming H τν or H cs only tan β

37 Direct Limits Tevatron limits continued... DO, Phys.Lett. B68 (009) 78-86, e-print: arxiv: [hep-ex] tan β DØ, L =.0 fb tan β DØ, L =.0 fb tan β 00 Theoretically inaccessible Expected 95% CL limit Excluded 95% CL region scenario CPX gh Theoretically inaccessible + + Br(H c s) + Br(H τ ν) < 0.95 Expected 95% CL Excluded 95% CL M H + [GeV] no-mixing scenario Theoretically inaccessible Expected 95% CL limit Excluded 95% CL region M H + [GeV] 00 m h -max scenario - DØ, L =.0 fb M H + [GeV]

38 Direct Limits LHC (ATLAS) limits ATLAS Collaboration, Search for charged Higgs bosons decaying via H+ tau nu in top quark pair events using pp collision data at sqrt(s) = 7 TeV with the ATLAS detector, arxiv: [hep-ex] + t bh B - 0 ATLAS Observed CLs Expected ± σ ± σ Data 0 s = 7 TeV Ldt = 4.6 fb - For the process: pp t t b bw H ± ; H ± τ ± ν with M H ± 60 GeV Assuming B(H + τν) = 00 %, the bounds on B(t bh + ) are given as functions of the charged Higgs mass - 0 combined m H [GeV]

39 Direct Limits LHC (ATLAS) limits continued... ATLAS Collaboration, Search for charged Higgs bosons decaying via H+ tau nu in top quark pair events using pp collision data at sqrt(s) = 7 TeV with the ATLAS detector, arxiv: [hep-ex] tan β ATLAS max m h s=7 TeV Data 0 Ldt = 4.6 fb Median expected exclusion - For the process: pp t t b bw H ± ; H ± τ ± ν with M H ± 60 GeV in the MHmax scenario Observed exclusion 95% CL Observed +σ theory Observed -σ theory QUESTION is what would happen in other scenarios than the MHmax one This has not been implemented in this presentation... maybe gives the weaker bounds than those from Higgs ττ [GeV] + m H