Implication of LHC Higgs Signal for the MSSM Parameter Regions

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1 Implication of LHC Higgs Signal for the MSSM Parameter Regions Shufang Su U. of Arizona PITT PACC Workshop: Light Higgs Jan 13 15, 2012 S. Su In collaboration with N. Christensen, T. Han, L. Carpenter work ongoing...

2 Outline Higgs signal as light CPeven Higgs h 0 mh around 125 GeV (or GeV) σ(gg h 0 )Br(h 0 γγ/ww/zz) close to the SM value Higgs signal as heavy CPeven Higgs H 0 Direct collider search limits Indirect constraints: b sγ, Bs µ + µ,... Collider signatures: superparticles Collider signatures: other MSSM Higgses S. Su 2

3 Outline Higgs signal as light CPeven Higgs h 0 mh around 125 GeV (or GeV) σ(gg h 0 )Br(h 0 γγ/ww/zz) close to the SM value Higgs signal as heavy CPeven Higgs H 0 Direct collider search limits Indirect constraints: b sγ, Bs µ + µ,... Collider signatures: superparticles Collider signatures: other MSSM Higgses S. Su 2

4 Current LHC Indication of 125 GeV Higgs Signal strength ATLAS Preliminary Best fit ±1 σ (a) 1 Ldt = fb s = 7 TeV M H [GeV] (b) 0.5 ATLASCONG ATLAS 2011 Data Best fit!/! SM CMS Preliminary, s = 7 TeV 1 Combined, L = fb int ±1! from fit CMS S. Su CMS PAS HIG11032 Higgs boson 3 mass (GeV/c ) Figure 13: The observed local pvalue p 0 (top panel) and bestfit ˆµ = σ/σ SM (bottom panel) a function of the SM Higgs boson mass in the range GeV/c 2. The solid black line

5 LHC 125 GeV Higgs Signal Identify regions in MSSM parameter space that gives mh around 125 GeV (or GeV) σ(gg H)Br(H γγ/ww/zz) around SM value Consistent with direct/indirect exp bounds (consider those relevant to the Higgs sector) Tevatron/LHC h 0 /H 0 /A 0 ττ search, H ± search b sγ, Bs µ + µ,.. dark matter (funnel region?) S. Su 4

6 125 GeV Higgs as Light CPeven h 0 [ ( Consider 125 GeV Higgs as light CPeven h 0 Dominant loop correction to mh0 from stop sector m 2 h MZ 2 cos 2 2β + 3 m 4 t 4π 2 v 2 [ 1 2 X t + t π 2 ( ) 3 m 2 ( ) ] t 2 v 32πα 2 3 Xt t + t 2 ( ) t = log M 2 SUSY m 2 t X t = 2Ã2 t M 2 SUSY 1 Ã 2 t 12M 2 SUSY, ( Ã t = A t µ cot β, Small stop mixing At (mh min ): need stop mass VERY large (510 TeV, FP region). large stop mixing At (mh max ):... S. Heinemeyer et. al., A. Arbey et. al., ; A. Arbey et. al., ; P. Draper et. al., M. Carena et, al., ; A. Arvanitaki and G. Villadoro, S. Su... 5

7 Stop Contribution At Masses for Higgses, ma=1000, tan!=10, MSUSY=2000 GeV, M1=M2=M3=1000 GeV Mh (""" $'"" $&"" $%"" $$"" $""" #'"" #&"" $"" ) :.*59;7<.=4,#"""<.56>!,#"<.)**?,$""".012<.)#,)$,)(,#""".012 )75# )75$!)75#!!"!"" %!" %"" (!" ("" $!" $"". #%"" M3SQ=M3SU (GeV) #%"" ("" %""!"" '"" A"" #$"" #""".!"" #""" #!"" )(*+,)(*./0123 #""" ##"" #$"" #("" #!" st1 could be as light as GeV large stop mass splittings between mst1 and mst2. st2 st1+z? S. Su 6

8 Stop Contribution A t 1.5 TeV, Tan Β A t 2.5 TeV, Tan Β mu3 GeV m h GeV m t GeV 119 mu3 GeV m h GeV m t GeV m Q3 GeV M. Carena et, al., ; m Q3 GeV 500 Figure 1: Contour plots of the Higgs mass in the m Q3 m u3 plane, for different values of A t and M3SQ M3SU: one stop could be light tan β. The stau soft masses have been fixed at m 2 L 3 = m 2 e 3 = (350 GeV) 2, while µ = 1030 GeV light and AM3SQ: τ = 500 GeV, light leading st1 tomostly a lightestlefthanded? stau mass of aboutsbl? 135 GeV for tan β = 60. The lightest stop masses are overlaid in dashed black lines. S. Su 7 light M3SU: light st1 mostly righthanded?

9 Stop Phenomenology t 1 bχ ± 1 Consider t 1 t 1 pair production at the LHC t 1 tχ 0 1 t 1 tχ 0 2 χ ± 1 W ( ) χ 0 1 χ 0 2 Z ( ) χ 0 1 χ 0 2 hχ 0 1 Collider Signatures: χ ± 1 lνχ0 1 via sleptons χ 0 2 llχ 0 1, ννχ 0 1 via sleptons Collider Signatures (with light sleptons) bbww+met bbww+zz+met bbww+hh+met... tt+met bb+ll+met tt+ll+met... S. Su 8

10 Stop Contribution M3SQ=M3SU, maximum mixing little dependence on µ and tanβ little dependence on ma except for small ma tanβ in a narrow region. S. Heinemeyer et. al., S. Su 9

11 Stop Contribution ma=400 GeV S. Heinemeyer et. al., MSUSY=500 GeV MSUSY= 1 TeV MSUSY= 2 TeV S. Su 10

12 Stop Contribution MA=1 TeV, tanβ =20 S. Heinemeyer et. al., positive M3At gives larger contributions comparing to positive M3At. S. Su 11

13 Sbottom Contribution: Negative m 2 h h4 b v2 16π 2 µ 4 M 4 SUSY ( ( 1+ t ) 16π 2 (9h2 b 5 m2 t v 64πα 3) 2 h b m b v cos β(1 + tan β h b ) small msb, large µ negative and large Δhb (µm3 large and negative) large hb (but then enhanced h 0 bb and suppressed h0 γγ/ww/zz ) m 2 h h4 τv 2 48π 2 µ 4 M 4 τ small mstau, large µ h τ m τ v cos β(1 + tan β h τ ) negative and large Δhtau (µm2 large and negative) large htau muon g2? S. Su 12

14 Region I: Decoupling Region TB σ(gg H)Br(H γγ/ww/zz) around SM value Region I: decoupling region of large ma (>2 mz). h 0 is SM like. slightly suppressed gg h 0 and h 0 γγ, WW and ZZ M3SQ=M3SU=1000, At=1500, MSUSY=2000, mu= Mh ma (GeV) S. Su 13 TB ma (GeV) gg" h0 " ## gg" h0 " WW/ZZ

15 Avoid Intense Coupling Region avoid the intense coupling region: small ma, large tanβ. h 0, H 0, A 0 masses close to each other h 0 bb, h 0 ττ enhanced, h 0 γγ, WW, ZZ suppressed TB Mh0 TB gg" h0 " ## gg" h0 " WW/ZZ ma (GeV) ma (GeV) 0.6 S. Su 14

16 Avoid Intense Coupling Region avoid the intense coupling region: small ma, large tanβ. h 0, H 0, A 0 masses close to each other h 0 bb, h 0 ττ enhanced, h 0 γγ, WW, ZZ suppressed TB Mh0 TB gg" h0 " ## gg" h0 " WW/ZZ ma (GeV) ma (GeV) 0.6 there are exceptions... S. Su 14

17 Region II: suppressed h 0 bb suppressed h 0 bb leads to enhanced h 0 γγ, WW, ZZ hb b : sin α cos β [ 1 h b tan β 1+ h b tan β ( 1+ )] 1 tan α tan β S. Su 15

18 Region II: suppressed h 0 bb suppressed h 0 bb leads to enhanced h 0 γγ, WW, ZZ hb b : sin α cos β [ 1 h b tan β 1+ h b tan β ( 1+ )] 1 tan α tan β region IIA: small αeff region S. Su 15

19 Region II: suppressed h 0 bb suppressed h 0 bb leads to enhanced h 0 γγ, WW, ZZ hb b : sin α cos β [ 1 h b tan β 1+ h b tan β ( 1+ )] 1 tan α tan β region IIA: small αeff region region IIB: suppressed bottom Yukawa coupling S. Su 15

20 Region IIA: Small αeff Suppression of h 0 bb coupling due to the mixing effects in the CPeven Higgs sector hb b : sin α [ 1 h b tan β cos β 1+ h b tan β ( ) ( ) ( 1+ )] 1 tan α tan β region IIA: small αeff region M 2 H = [ [ ] m 2 A sin2 β + M 2 Z cos2 β (m 2 A + M 2 Z ) sin β cos β + Loop 12 (m 2 A + M 2 Z ) sin β cos β + Loop 12 m 2 A cos2 β + M 2 Z sin2 β + Loop 22 ] sin(2α) = 2(M 2 H ) 12 Tr[M 2 H ] 2 det[m 2 H ], moderate for large tanβ M M small to moderate ma S. Su 16

21 Region IIA: Small αeff Suppression of h 0 bb coupling due to the mixing effects in ( ) ( ) ( ) ( ) the CPeven Higgs sector Loop 12 = m 4 t 16π 2 v 2 sin 2 β µãt M 2 SUSY M [ A t Ã t M 2 SUSY 6 ] + h4 b v2 16π 2 sin2 β µ3 A b M 4 SUSY Carena et. al., hepph/ Carena et. al., hepph/ h4 τv 2 48π 2 sin2 β µ3 A τ M 4 τ S. Su 17

22 Region IIA: Small αeff Suppression of h 0 bb coupling due to the mixing effects in ( ) ( ) ( ) ( ) the CPeven Higgs sector Loop 12 = m 4 t 16π 2 v 2 sin 2 β µãt M 2 SUSY M [ A t Ã t M 2 SUSY 6 ] + h4 b v2 16π 2 sin2 β µ3 A b M 4 SUSY Carena et. al., hepph/ Carena et. al., hepph/ h4 τv 2 48π 2 sin2 β µ3 A τ M 4 τ stop contribution light stop, large µat µat <0 for At < 6 mst µat >0 for At> 6 mst S. Su 17

23 Region IIA: Small αeff Suppression of h 0 bb coupling due to the mixing effects in ( ) ( ) ( ) ( ) the CPeven Higgs sector Loop 12 = m 4 t 16π 2 v 2 sin 2 β µãt M 2 SUSY M [ A t Ã t M 2 SUSY 6 ] + h4 b v2 16π 2 sin2 β µ3 A b M 4 SUSY Carena et. al., hepph/ Carena et. al., hepph/ h4 τv 2 48π 2 sin2 β µ3 A τ M 4 τ stop contribution light stop, large µat µat <0 for At < 6 mst µat >0 for At> 6 mst light sbottom large µ 3 Ab large hb sb contribution S. Su 17

24 Region IIA: Small αeff Suppression of h 0 bb coupling due to the mixing effects in ( ) ( ) ( ) ( ) the CPeven Higgs sector Loop 12 = m 4 t 16π 2 v 2 sin 2 β µãt M 2 SUSY M [ A t Ã t M 2 SUSY 6 ] + h4 b v2 16π 2 sin2 β µ3 A b M 4 SUSY Carena et. al., hepph/ Carena et. al., hepph/ h4 τv 2 48π 2 sin2 β µ3 A τ M 4 τ stop contribution light stop, large µat µat <0 for At < 6 mst µat >0 for At> 6 mst light sbottom large µ 3 Ab large hb sb contribution stau contribution light stau large µ 3 Aτ large hτ S. Su 17

25 Region IIA: Small αeff gg! h0! "" 1 TB ma (GeV) M3SL=M3SE=340, µ =1030 Aτ=1500, At=2500 M1=100, M2=1000, M3=1200 MSUSY=1000 S. Su 18

26 Region IIA: Small αeff gg! h0! "" 1 TB '" &" "A% "A# " 6,0BB %" ma (GeV) M3SL=M3SE=340, µ =1030 Aτ=1500, At=2500!" M1=100, M2=1000, M3=1200 MSUSY=1000 S. Su +,./ $" #"!"A#!"A% "!"A'!" )!"A#!"A%!"A'!"" #"" $"" %"" &"" '"" ("" )"" *""!"""

27 Region IIA: Small αeff gg! h0! "" 1 TB ma (GeV) 0.8 M3SL=M3SE=340, µ =1030 Aτ=1500, At= !" M1=100, M2=1000, M3=1200 MSUSY=1000 S. Su ma +,./012 (GeV) 18 TB '" &" 40 %" $" 20 #" "A% "A# 123!"A# 124!"A% "!"A' !" ) 120 " !"A' 1206,0BB Mh !"A#!"A% 100!"" 200 #"" 300 $"" 400 %"" 500 &"" 600 '"" ("" 700 )"" 800 *"" 900!""" 1000

28 Region IIA: Small αeff gg! h0! "" 1 TB ma (GeV) #" TB '" &" 40 %" tan! $" CMS Preliminary fb "A% "A# 123!"A# 124!"A% "!"A' !" ) 120 " !"A' 1206,0BB Mh % CL excluded regions CMS observed ±1" theory CMS expected LEP M3SL=M3SE=340, µ =1030 Aτ=1500, At=2500!" max 10 5 MSSM m h scenario, M = 1 TeV SUSY M1=100, M2=1000, M3=1200 MSUSY= !"" #"" $"" %"" &"" '"" 350 ("" )"" *"" 900!""" S. Su ma +,./012 m (GeV) [GeV] 18 A!"A#!"A%

29 Region IIA: Small αeff gg! h0! "" 1 TB ma (GeV) #" TB '" &" 40 %" tan! $" CMS Preliminary fb "A% "A# 123!"A# 124!"A% "!"A' !" ) 120 " !"A' 1206,0BB Mh % CL excluded regions CMS observed ±1" theory CMS expected LEP M3SL=M3SE=340, µ =1030 Aτ=1500, At=2500!" max 10 5 MSSM m h scenario, M = 1 TeV SUSY M1=100, M2=1000, M3=1200 MSUSY= !"" #"" $"" %"" &"" '"" 350 ("" )"" *"" 900!""" S. Su ma +,./012 m (GeV) [GeV] 18 A!"A#!"A%

Region IIB: Suppressed hb suppressed h 0 bb coupling due to suppression of bottom Yukawa: Δhb large and positive hb b : sin α cos β [ 1 h b tan β 1+ h b tan β ( 1+ )] 1 tan α tan β region IIB:

30 Region IIB: Suppressed hb suppressed h 0 bb coupling due to suppression of bottom Yukawa: Δhb large and positive hb b : sin α cos β [ 1 h b tan β 1+ h b tan β ( 1+ )] 1 tan α tan β region IIB: suppressed bottom Yukawa coupling H 0 d b g b µm3 large and positive, small msb large Δhb > 0 suppressed h 0 bb coupling b b Carena et. al., hepph/ Carena et. al., hepph/ S. Su 19

31 Region III: Enhanced h γγ W γ q/l γ h 0 W h 0 q/l W γ q/l γ SM contribution usually suppressed. dominantly from W, subdominantly from top (bottom). q/ l γ H ± γ χ ± γ h 0 q/ l h 0 H ± h 0 χ ± q/ l γ H ± γ χ ± γ MSSM extra stop/sbottom/stau contribution (enhancement) stop contribution: small mst, large At sbottom/stau contribution: small msb, msτ, large µ, large tanβ chargino contribution is only important for chargino lighter than 100 GeV. S. Su 20

32 Region III: Enhanced h γγ stop/sbottom also leads to suppressed gg h 0 : combined gg h 0 γγ usually suppressed. A t 2.5 TeV, Tan Β 10, Σ gg h Σ gg h SM Br h ΓΓ Br h ΓΓ SM mu3 GeV M. Carena et, al., ; m Q3 GeV S. Su 21

33 Region III: Enhanced h 300 γγ stau contribution: small msτ, large µ, large tanβ Μ Μ GeV tanβ madd plot. L3 GeV tanβ 60 me3 GeV Μ GeV S. Su M. Carena et, al., ; Figure 4: Contour plots of the ratio of the σ(gg tanβ 10 tanβ m L3 GeV m L3 GeV tanβ m L3 GeV

gg h Not Too Much Suppressed g g t/b t/b t/b h 0 cos α usually suppressed ht t : <1 sin β small suppression in the decoupling region. bottom contribution opposite to top contribution.

34 gg h Not Too Much Suppressed g g t/b t/b t/b h 0 cos α usually suppressed ht t : <1 sin β small suppression in the decoupling region. bottom contribution opposite to top contribution. large bottom Yukawa leads to suppressed gg h 0. g g t/ b t/ b t/ b h 0 light stop without mixing leads to enhancement of gg h 0. not good for large mh0. light stop with large At, light sbottom with large µ and tanβ leads to suppression of gg h 0 S. Su 23

coupling Region IV: ma: 95 100 GeV, tanβ: 810 (near mh max region?

35 125 GeV Higgs as Heavy CPeven Higgs H 0 heavy CPeven Higgs H 0 SM like light CPeven Higgs h 0 (<114 GeV), evade LEP bound by reduced ZZh 0 coupling Region IV: ma: GeV, tanβ: 810 (near mh max region?) MSUSY=Xt=1 TeV MA=100 GeV, tanβ=10 S. Heinemeyer et. al., S. Su 24

36 Direct Experimental Constraints LEP/Tevatron H ± searches c ( ) m H±$*+,. %/& %1& %(& %&& 0& GH,=B,!EA">>? E#"AA,@@EI>,!"#$%&$'()*+*&.(±(,( ±((,( σ(!"#$%&$'()*+*& /01(234(55(!"%63'$' )!7(!"%63'$' GH,=B,!EA">>? E#"AA,@@EI>, %/& %1& %(& %&& 0& /& 234$*523467$ $2:$"#;$<452) ± ± 5@@CDE#F$6 τν$=b$6 $A@$=#>? /& %& '% % %& %& (!"#$β S. Su 25

37 Direct Experimental Constraints CMS pp h 0 /H 0 /A 0 +X with h 0 /H 0 /A 0 ττ [pb] 95% CL $(#"!!) 10 CMS Preliminary fb s=7 TeV 95% CL Limits Observed Expected ± 1$ Expected ± 2$ Expected CMS Preliminary fb tan! max MSSM m h 95% CL excluded regions CMS observed ±1" theory CMS expected LEP scenario, M SUSY = 1 TeV [GeV] m A 3: The expected one and twostandarddeviation ranges and the observ m A [GeV] S. Su 26

38 Direct Experimental Constraints CMS pp h 0 /H 0 /A 0 +X with h 0 /H 0 /A 0 ττ [pb] 95% CL $(#"!!) 10 CMS Preliminary fb s=7 TeV 95% CL Limits Observed Expected ± 1$ Expected ± 2$ Expected CMS Preliminary fb tan! max MSSM m h 95% CL excluded regions CMS observed ±1" theory CMS expected LEP scenario, M SUSY = 1 TeV [GeV] m A 3: The expected one and twostandarddeviation ranges and the observ m A [GeV] S. Su 26

09) 10 4, EXP(2010); Br(b sγ) = (3.15 ± 0.23) 10 4, QCDNNLO.

39 Indirect Experimental Constraints Only consider those get contribution from the Higgs sector b s γ Br(b sγ) = (3.55 ± 0.24 ± 0.09) 10 4, EXP(2010); Br(b sγ) = (3.15 ± 0.23) 10 4, QCDNNLO. γ γ t t b H ± s b χ ± s H ± loop: always positive. Chargino loop: negative for µat>0, positive for µat<0 S. Su 27

40 b s γ Region IIA b! s " TB σ mu=mst=200 GeV, At=0 2σ 1σ mu=mst=at=200 GeV ma (GeV) smaller M2 with µat>0 could possibly cancel H ± contribution. S. Su 28

41 b s γ ma=250 GeV, H ± contribution mu=mst=200 GeV, At=0 mu=mst=at=200 GeV, χ ± contribution A. Arvanitaki and G. Villadoro, S. Su 29

Indirect Experimental Constraints Br(B s µ + µ ) < 1.

42 Indirect Experimental Constraints Br(B s µ + µ ) < , CMS + LHCb; Bs µ + µ Br(B s µ + µ ) < , Br(B s µ + µ ) = (3.19 ± 0.19) 10 9, CDF; SM, add ref.. b R l tan 2 β s L,d L h 0,H 0,A 0 tan β l + S. Su 30

43 Implication for Future LHC Searches In those identified MSSM regions What are the discovery channels for superparticles? What are the discovery channels for other MSSM Higgses? Work in Progress... S. Su 31

44 Conclusions LHC Higgs search indication: mh around 125 GeV (or GeV) σ(gg H)Br(H γγ/ww/zz) around the SM value Interpret H as MSSM light CPeven Higgs mh0: large stop sector mixing large mass splitting, one stop could be light Region I: decoupling region (ma > 2 mz) Region IIA: small αeff Region IIB: suppressed bottom Yukawa hb Region III: enhanced h 0 γγ by stau with large mixing (stop/ sbottom contribution leads to the suppression of gg h 0 ) S. Su 32

45 Conclusions Interpret 125 GeV Higgs as the heavy CPeven Higgs. Region IV: ma: GeV, tanβ: 810 Exp indirect constraints and direct constraints Implication for LHC searches: superparticles and Higgses (work in progress...) S. Su 33

Slepton, Charginos and Neutralinos at the LHC

Slepton, Charginos and Neutralinos at the LHC Shufang Su U. of Arizona, UC Irvine S. Su In collaboration with J. Eckel, W. Shepherd, arxiv:.xxxx; T. Han, S. Padhi, arxiv:.xxxx; Outline Limitation of current