The Lightest Higgs Boson of mSUGRA, mGMSB and mAMSB: Observability and Precision Analyses at Present and Future Colliders Shufang Su • U. of Arizona A. Dedes, S. Heinemeyer, SS G. Weiglein, hep-ph/0302174
Motivation LEP results on Higgs searches - LEP results on Higgs searches 95% CL mHSM 114.4 GeV , 1.7 mHSM 116 GeV MSSM light Higgs boson h0 mh 135 GeV Higgs searches soft SUSY-breaking parameters MSSM: 105 new SUSY breaking parameters out of control mechanism for SUSY breaking: (flavor blind) predictive, relate Higgs sector to other SUSY particles low energy MSSM (visible sector) 105 parameters SUSY-breaking (hidden sector) a few parameters gauge-mediated SUSY breaking (GMSB) gauge interaction gravity gravity-mediated SUSY breaking (SUGRA) anomaly-mediated SUSY breaking (AMSB) anomaly something S. Su ASBSII
Goal Individual analysis for each scenario and MSSM exists - Individual analysis for each scenario and MSSM exists (lots of references … ) We treat three soft SUSY-breaking scenarios equal allow a direct comparison of results/phenomenology Previous analyses All parameters except one (e.g. mA) kept fixed complete knowledge of SUSY parameters unrealistic enhancement of sensitivity Our analyses: mSUGRA, mGMSB, mAMSB Vary all high-energy input parameters Combine with mA/other SUSY particle mass from LHC J.A. Bagger, K. Matchev, D.M. Pierce, R. zhang, phys. Rev. D 55 (1997) 3188 K.T. Matchev, D.M. Pierce, phys. Lett. B 445 (1999) 331 W. de Boer, hep-ph/9808448 T.A. Kaeding, S. Nandi, hep-ph/9906342 S. Su, Nucl. Phys. B 573 (2000) 87 A. Dedes, S. Heinemeyer, P. Teixeira-Dias, G. Weiglein, Jour. Phys. G 26 (2000) 582 B. Allanach, A. Dedes, JHEP 0006 (2000) 017 S. Ambrosanio, S. Heinemeyer, G. Weiglein, hep-ph/0002191, hep-ph/0005142 J. Ellis, G. Ganis, D.V. Nanopoulos, K.A. Olive, Phys. Lett B 502 (2001) 171 A. Djouadi, M. Drees, J. Kneur, JHEP 0108 (2001) 055 J. Ellis, S. Heinemeyer, K. Olive, G. Weiglein, Phys. Lett. B 515 (2001) 348, JHEP 0301 (2003) 006 J. Guasch, W. Hollik, S. Penaranda, Phys. Lett. B 515 (2001) 367 M. Carena, H. Haber, H. Logan, S. Mrenna, Phys. Rev. D 65 (2002) 055005 S. Dawson, S. Heinemeyer, Phys. Rev. D 66 (2002) 055002 S. Su ASBSII
Outline Introduction Procedure and additional constrains - Introduction MSSM Higgs sector soft SUSY-breaking scenario: mSUGRA, mGMSB, mAMSB Procedure and additional constrains Observability of h0 at current and future colliders Precision analyses of h0 decay branching ratio Deviations in mSUGRA, mGMSB, mAMSB Bounds on mA and high-energy input parameters Distinguish three SUSY-breaking scenarios Conclusions S. Su ASBSII
MSSM Higgs sector Two Higgs doublet Higgs potential - Two Higgs doublet Higgs potential Electroweak symmetry breaking ||, b are replaced by mZ, tan= v2/v1 Physical states: h0,H0,A0,H, Goldstone bosons: G0,G S. Su ASBSII
Measurement of Higgs masses and couplings CP-even Higgs h0,H0 - In the 10-20 basis Mass matrix mA2=2b/sin 2 Tree level mh < |cos 2|mZ < mZ loop contribution to mh from t-t sector (dominant) (G.Degrassi, S.Heinemeyer, W.Hollik, P.Slavich and G.Weiglein ’02) Two loop calculation: mh 135 GeV Measurement of Higgs masses and couplings information about soft SUSY-breaking parameters S. Su ASBSII
Present status of mh prediction in MSSM - Used for LEP analysis until 1999 RG improved one-loop effective potential results Leading logs at two-loop level program: subhole (M. Carena, M. Quiros, C. Wagner ’95) Used since end of 1999 Feynman-diagrammatic two-loop results Complete one-loop + dominant two-loop corrections program: FeynHiggs (S. Heinemeyer, W. Hollik, G. Weiglein ’98,’00,’01) Remaining theoretical uncertainties in mh prediction Unknown higher-order corrections mh 3 GeV - Uncertainties in input parameters mt,…,mA,tan,mt1,mt2,t,mg mt 5 GeV mh 5 GeV (G.Degrassi, S.Heinemeyer, W.Hollik, P.Slavich and G.Weiglein ’02) Precise knowledge of mt is important S. Su ASBSII
FD approach of MSSM Higgs sector - Most relevant parameters for MSSM Higgs sector: mA, tan, mt1, mt2, t, mb1, mb2, b, , mg, M1, M2. Use FD approach within on-shell renormalization scheme mh, mH given by poles of the h0-H0 propagator matrix Effective mixing angle eff Fortran code: FeynHiggs www.feynhiggs.de S. Su ASBSII
Minimal Super Gravity mediated SUSY-breaking (mSUGRA) { m0, m1/2, A0, tan, sign } m0 : common scalar mass at GUT scale m1/2 : common gaugino mass at GUT scale A0 : common trilinear scalar coupling at GUT scale tan : low energy input sign : low energy input S. Su ASBSII
Minimal Gauge mediated SUSY-breaking (mGMSB) SUSY breaking is mediated by SM gauge interactions through messenger sector { Mmess, Nmess, , tan, sign } Mmess : messenger mass scale Nmess : messenger index : soft SUSY-breaking mass scale S. Su ASBSII
Minimal Anomaly mediated SUSY-breaking (mAMSB) SUSY breaking on a separate brane is communicated to the visible sector via super-Weyl anomaly { maux, m0, tan, sign } maux : SUSY breaking scale (gravitino mass) m0 : additional mass scale for scalar (to keep ml > 0 ) S. Su ASBSII
High-energy parameters in mSUGRA, mGMSB, mAMSB Procedure - High-energy parameters in mSUGRA, mGMSB, mAMSB RG running Further constraints EW precision data, non-observation of SUSY particles, etc. Low-energy parameters FeynHiggs (FD approach) h0 production and decay Constraints on mA,tan ... Precision measurements of h0 decay at LC and C Distinguish three scenarios Observability at Tevatron and LHC S. Su ASBSII
High-energy input parameter mSUGRA mGMSB mAMSB 50 GeV m0 1 TeV 10 TeV 200 TeV 20 TeV maux 100 TeV 50 GeV m1/21 TeV 1.01 Mmess105 0 m0 2 TeV -3 TeV A0 3 TeV 1 Nmess 8 1.5 tan 60 1.5 tan 55 sign = + 1 Positive : favored by g-2 and BR(b ! s ) S. Su ASBSII
Additional constraints - LEP Higgs exclusion bounds Precision observable: SUSY 3 10-3 Experimental bounds on SUSY particle masses mt=175 GeV (mh/ mt = 1 GeV/1 GeV) No SUSY CP-violating phases R-parity conserved Success REWSB No color/charge breaking minima LSP uncolored and uncharged (neutralino LSP in mSUGRA and mAMSB) Restrict to positive : favored by g-2 and Br(b ! s ) S. Su ASBSII
Previous work LEP Higgs searches : exclusion region in mh0-tan S. Ambrosanio, A. Dedes, S. Heinemeyer, SS, G. Weiglein NPB 624, 3 (2002) LEP Higgs searches : exclusion region in mh0-tan Slight excess of 116 GeV Higgs interpreted as light CP-even Higgs with SM-like coupling corresponding SUSY particle spectrum Strong enhancement of b, Yukawa coupling » sineff / cos small mA, large tan Strong suppression of h ! bb, possible in mSUGRA MSSM SUGRA GMSB AMSB mh0max (GeV) 135 127 123 125 tanmin 0.5 or 2.4 2.9 3.1 3.8 S. Su ASBSII
Higgs production and decay - Tevatron qq!V!Vh (V=W,Z) LHC gg!h qq,gg!tt!tth VV!h LC e+e-!Z!Zh C !h (h! bb,cc,+-,+-): higher-order correction included (h ! ,gg,WW): Hdecay (A.Djouadi, J.Kalinowski, M.Spira, ’97-’03) S. Su ASBSII
Channels for Higgs study - Higgs boson decay Higgs study channels Tevatron qq ! V ! Vh ! Vbb (V=W,Z) LHC gg ! h ! , VV ! h ! +-, WW*, qq,gg ! tt ! tth ! ttbb LC e+e- ! Z ! Zh ! Zbb,Zcc,Z+-,ZWW*,Zgg WW! h ! bb,cc,+-,WW*,gg C ! h ! bb, WW*, S. Su ASBSII
Observability of h0 Tevatron LHC V ! Vh ! Vbb suppressed mGMSB - Tevatron V ! Vh ! Vbb suppressed not more than 10% discovery potential as good as SM Higgs LHC mGMSB 10 30 40 50 20 1000 1400 600 200 1800 mA (GeV) tan gg ! h ! suppression of 50% or more 10 30 40 50 20 1000 1400 600 200 1800 mA (GeV) tan mAMSB mSUGRA 10 30 40 60 50 20 1000 1400 600 200 1800 mA (GeV) tan < 10% (mSUGRA, mGMSB) upto 20% (mAMSB) 10-20% (mSUGRA, mGMSB) < 10% (mAMSB) S. Su ASBSII
Observability of h0 (cont’) - LHC qq,gg ! tt ! tth ! ttbb suppressed no more than 10% VV ! h (Plehn, Rainwater, Zeppenfeld ’99, ’00) mSUGRA mGMSB, mAMSB WW ! h ! +- differ < 10% enhanced everywhere small mA, large tan suppression no suppression WW ! h ! WW*, suppression at small mA LC easily observable even with strong suppression S. Su ASBSII
Observability of h0 (cont’) - C mSUGRA mGMSB, mAMSB ! h ! bb, +- small suppression/ enhancement always enhanced very large tan suppression no suppression ! h ! WW*, suppression > 20% suppression > 50% mGMSB mAMSB 50 50 40 40 tan 30 tan 30 20 20 10 10 ! h ! 400 800 1200 1600 400 800 1200 1600 S. Su ASBSII mA (GeV) mA (GeV)
Precision analyses of Higgs coupling - concentrate on LC and C focus on Higgs sector Anticipated precision h ! bb 1.5% h ! +- 4.5% LC h ! cc 6% h ! gg 4% h ! WW* 3% 2% C 5% h ! 11% direct detection of A0 difficult deviation from SM Higgs coupling indirect bound on mA differ from previous analyses - all but one parameter kept fixed require knowledge of SUSY parameters - scan over parameter space reduced sensitivity “worst case” scenario § n: § n £ precision S. Su ASBSII
Sensitivity in mA-tan plane mSUGRA LC: h! WW* 1 mA 500 GeV 3 mA 550 GeV 2 mA 700 GeV 1 mA 1000 GeV suppression in h! bb, +- enhancement in h! cc, WW* 35 tan 55 sensitivity in C slightly worse S. Su ASBSII
Sensitivity in mA-tan plane (cont’) mAmax (GeV) -1 -2 -3 mSUGRA 1000 700 550 mGMSB 1150 750 600 mAMSB 1300 850 LC: h ! WW* no enhancement mGMSB 10 30 40 50 20 1000 1400 600 200 1800 mA (GeV) tan 10 30 40 50 20 1000 1400 600 200 1800 mA (GeV) tan mAMSB S. Su ASBSII
Sensitivity to high-energy parameters mSUGRA mild bound on m0 stronger bound on m1/2 3 7 9 10£ 104 5 1000 1400 600 200 1 1800 m0 (GeV) maux mAMSB VVh!cc mSUGRA -1 -2 -3 m1/2max (GeV) 650 450 350 mGMSB deviation from SM coupling not sufficient to constrain Mmess and small deviation lower bound on Mmess and mAMSB 2 , 3 deviation wide range of m0 and maux mAMSB 2 3 m0max (GeV) 1400 1100 mauxmax (GeV) 7.5£104 6£104 S. Su ASBSII
Distinguish SUSY Breaking Scenario - 500 GeV mA 600 GeV tan 30 AMSB GMSB SUGRA if we know ranges of mA, tan from LHC if we see deviations of coupling at LC Can we distinguish various SUSY breaking scenario? 800 GeV mt1 900 GeV ~ 900 GeV mg 1000 GeV ~ Yhbb » sineff/cos 12 ! eff mSUGRA large and negative mGMSB small mAMSB large and positive S. Su ASBSII
Conclusion Investigate relevant production and decay channels of h0 - Investigate relevant production and decay channels of h0 - Tevatron, LHC, LC and C -mSUGRA, mGMSB and mAMSB Observability - Tevatron: as good as SM Higgs; LC: ensured - LHC: gg ! h ! , C: h ! WW*, , small mA, large tan problematic (mGMSB, mAMSB) Precision measurement of BR at LC and C bound on mA and tan: mA<1 TeV for 2-3 deviation - biggest sensitivity from LC: h ! WW*, cc - suppression in h ! bb, +-, enhancement in h ! cc, WW* 35 tan 55 (mSUGRA) bound on high-energy input parameters - m1/2 (mSUGRA), m0 (mAMSB) Distinguish different SUSY breaking scenarios S. Su ASBSII