Implication of LHC Higgs Signal for the MSSM Parameter Regions

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...

Outline Higgs signal as light CPeven Higgs h 0 mh around 125 GeV (or 115 130 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

Current LHC Indication of 125 GeV Higgs Signal strength 2.5 2 1.5 1 0.5 0 0.5 1 1.5 2 ATLAS Preliminary Best fit ±1 σ (a) 1 Ldt = 1.04.9 fb s = 7 TeV 110 115 120 125 130 135 140 145 150 M H [GeV] (b) 0.5 ATLASCONG2011163 ATLAS 2011 Data Best fit!/! SM 2.5 2 1.5 1 CMS Preliminary, s = 7 TeV 1 Combined, L = 4.64.7 fb int ±1! from fit CMS 0 0.5 1 110 115 120 125 130 135 140 145 150 155 160 2 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 110 160 GeV/c 2. The solid black line

LHC 125 GeV Higgs Signal Identify regions in MSSM parameter space that gives mh around 125 GeV (or 115 130 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

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 + 1 16π 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., 1112.3026 A. Arbey et. al., 1112.3028; A. Arbey et. al., 1112.3032; P. Draper et. al., 1112.3068 M. Carena et, al., 1112.3336; A. Arvanitaki and G. Villadoro, 1112.4835 S. Su... 5

Stop Contribution At 3000 2800 2600 2400 2200 2000 1800 1600 Masses for Higgses, ma=1000, tan!=10, MSUSY=2000 GeV, M1=M2=M3=1000 GeV Mh0 120 125 115 105 105 126 90 100 127 110 115 128 125 129 126 130 127 128 129 130 45.. (""" $'"" $&"" $%"" $$"" $""" #'"" #&"" $"" )67717.89:.*59;7<.=4,#"""<.56>!,#"<.)**?,$""".012<.)#,)$,)(,#""".012 )75# )75$!)75#!!"!"" %!" %"" (!" ("" $!" $"". #%"" 1400 1200 123 124 120 123 120 1000 500 1000 1500 M3SQ=M3SU (GeV) #%"" ("" %""!"" &"" @"" '"" A"" #$"" #""".!"" #""" #!"" )(*+,)(*./0123 #""" ##"" #$"" #("" #!" st1 could be as light as 200300 GeV large stop mass splittings between mst1 and mst2. st2 st1+z? S. Su 6

Stop Contribution 3000 500 A t 1.5 TeV, Tan Β 10 3000 500 A t 2.5 TeV, Tan Β 60 2500 mu3 GeV 2500 2000 1500 1000 400 119 123 124 120 121 122 1000 1500 2000 2500 m h GeV m t GeV 119 mu3 GeV 2500 2000 1500 1000 300 400 123 124 1000 113 1500 2000 122 121 125 119 120 500 200 118 116 117 300 m h GeV m t GeV 123 100 200 500 1000 1500 2000 2500 3000 500 1000 1500 2000 2500 3000 m Q3 GeV M. Carena et, al., 1112.3336; 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?

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

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., 1112.3026 S. Su 9

Stop Contribution ma=400 GeV S. Heinemeyer et. al., 1112.3026 MSUSY=500 GeV MSUSY= 1 TeV MSUSY= 2 TeV S. Su 10

Stop Contribution MA=1 TeV, tanβ =20 S. Heinemeyer et. al., 1112.3026 positive M3At gives larger contributions comparing to positive M3At. S. Su 11

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

Region I: Decoupling Region TB 60 50 40 30 20 10 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 125 124 123 126 125 120 124 123 120 115 115 110 110 105 105 100 100 M3SQ=M3SU=1000, At=1500, MSUSY=2000, mu=1000 126 126 Mh0 125 125 124 123 124 123 100 105 110 115 120 100 105 110 115 120 90 90 100 200 300 400 500 600 700 800 900 1000 ma (GeV) S. Su 13 TB 60 50 40 30 20 10 0.1 0.1 0.2 0.4 0.6 0.2 0.2 0.4 0.4 0.6 0.6 0.6 0.6 0.6 0.8 0.8 0.8 0.9 100 200 300 400 500 600 700 800 900 1000 ma (GeV) 0.8 0.8 gg" h0 " ## gg" h0 " WW/ZZ 0.9 0.9 0.8 1

120 115 110 105 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 60 50 40 30 20 100 100 105 110 115 125 124 126 125 123 124 123 120 Mh0 TB 60 50 40 30 20 0.1 0.2 0.2 gg" h0 " ## gg" h0 " WW/ZZ 0.4 0.4 0.4 0.4 10 10 0.1 0.1 0.2 0.2 100 150 200 250 300 ma (GeV) 0.4 0.6 100 150 200 250 300 ma (GeV) 0.6 S. Su 14

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

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

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

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

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/9808312 Carena et. al., hepph/9907422 + 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

Region IIA: Small αeff 60 50 0 0.1 0.2 1.8 2 1.6 1.4 1.2 gg! h0! "" 1 TB 40 30 20 0.4 0.6 1.4 1.2 1.8 1.8 1.6 1 2 0.90.9 0.8 10 0.1 0.2 0.4 0.8 100 200 300 400 500 600 700 800 900 1000 ma (GeV) M3SL=M3SE=340, µ =1030 Aτ=1500, At=2500 M1=100, M2=1000, M3=1200 MSUSY=1000 S. Su 18

Region IIA: Small αeff 60 50 0 0.1 0.2 1.8 2 1.6 1.4 1.2 gg! h0! "" 1 TB 40 30 20 0.4 0.6 1.6 1.4 1.2 1.8 1.8 1 2 0.90.9 0.8 '" &" "A% "A# " 6,0BB 10 0.1 0.2 0.4 0.8 %" 100 200 300 400 500 600 700 800 900 1000 ma (GeV) M3SL=M3SE=340, µ =1030 Aτ=1500, At=2500!" M1=100, M2=1000, M3=1200 MSUSY=1000 S. Su +,./012 18 34 $" #"!"A#!"A% "!"A'!" )!"A#!"A%!"A'!"" #"" $"" %"" &"" '"" ("" )"" *""!"""

Region IIA: Small αeff 60 50 0 0.1 0.2 1.8 2 1.6 1.4 1.2 gg! h0! "" 1 TB 40 30 20 10 0.4 0.1 0.2 0.6 1.6 1.4 1.2 1.8 0.8 0.4 1.8 1 2 0.90.9 30 100 200 300 400 500 600 700 800 900 1000 ma (GeV) 0.8 M3SL=M3SE=340, µ =1030 Aτ=1500, At=2500 10!" M1=100, M2=1000, M3=1200 MSUSY=1000 S. Su ma +,./012 (GeV) 18 TB 34 60 '" 90 50 &" 40 %" $" 20 #" 115 110 105 105100 120 "A% "A# 123!"A# 124!"A% "!"A' 123 124 125 125!" ) 120 " 124 124 115 105 100 125 125 124!"A' 1206,0BB Mh0 123 124!"A#!"A% 100!"" 200 #"" 300 $"" 400 %"" 500 &"" 600 '"" ("" 700 )"" 800 *"" 900!""" 1000

Region IIA: Small αeff 60 50 0 0.1 0.2 1.8 2 1.6 1.4 1.2 gg! h0! "" 1 TB 40 30 20 10 0.4 0.1 0.2 0.6 1.6 1.4 1.2 1.8 0.8 0.4 1.8 1 2 0.90.9 30 100 200 300 400 500 600 700 800 900 1000 20 ma (GeV) 15 20 #" 10 0.8 TB 34 60 '" 90 50 &" 40 %" tan! $" 50 45 40 35 115 110 105 105100 30 25 120 CMS Preliminary 2011 4.6 fb "A% "A# 123!"A# 124!"A% "!"A' 123 124 125 125!" ) 120 " 124 124 115 105 100 1 125 125 124!"A' 1206,0BB Mh0 123 124 95% 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=1000 0 100!"" 100 200 #"" 150 300 $"" 200 400 %"" 250 500 &"" 300 600 '"" 350 ("" 700 400 )"" 800 450 *"" 900!""" 1000 500 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: 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/9808312 Carena et. al., hepph/0202167 S. Su 19

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

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, 3000 0.88 Σ gg h Σ gg h SM Br h ΓΓ Br h ΓΓ SM 2500 0.87 mu3 GeV 2000 1500 0.84 0.86 1000 0.83 0.85 500 0.87 500 1000 1500 2000 2500 3000 M. Carena et, al., 1112.3336; m Q3 GeV S. Su 21

Region III: Enhanced h 300 γγ stau contribution: small msτ, large µ, large tanβ Μ Μ GeV 1400 1200 1000 800 600 0.9 200 0.88 0.87 tanβ 10 300 400 madd plot. L3 GeV 0.86 200 250 300 350 400 450 500 tanβ 60 me3 GeV 500 450 400 Μ GeV 350 300 250 S. Su M. Carena et, al., 1112.3336; 22 500 Figure 4: Contour plots of the ratio of the σ(gg 200 800 600 1400 1200 1000 800 0.866 0.868 600 200 300 tanβ 10 tanβ 60 0.864 0.863 1.5 1.1 0.863 1 200 200 250 250300 300350 350400 400 450 4500 500 m L3 GeV m L3 GeV tanβ 60 400 0.86 200 250 300 350 400 450 500 1.3 m L3 GeV 200 100 300 0.9

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

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: 95 100 GeV, tanβ: 810 (near mh max region?) MSUSY=Xt=1 TeV MA=100 GeV, tanβ=10 S. Heinemeyer et. al., 1112.3026 S. Su 24

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$8324697$2:$"#;$<452) ± ± 5@@CDE#F$6 τν$=b$6 $A@$=#>? /& %& '% % %& %& (!"#$β S. Su 25

Direct Experimental Constraints CMS pp h 0 /H 0 /A 0 +X with h 0 /H 0 /A 0 ττ [pb] 95% CL $(#"!!) 10 CMS Preliminary 1 4.6 fb s=7 TeV 95% CL Limits Observed Expected ± 1$ Expected ± 2$ Expected 50 45 40 35 30 CMS Preliminary 2011 4.6 fb 1 1 1 10 tan! 25 20 15 10 5 max MSSM m h 95% CL excluded regions CMS observed ±1" theory CMS expected LEP scenario, M SUSY = 1 TeV 100 200 300 400 500 [GeV] m A 3: The expected one and twostandarddeviation ranges and the observ 0 100 150 200 250 300 350 400 450 500 m A [GeV] S. Su 26

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

b s γ 60 50 Region IIA b! s " TB 40 30 20 10 3σ mu=mst=200 GeV, At=0 2σ 1σ mu=mst=at=200 GeV 0.000431 0.000404 0.00038 0.000355 100 200 300 400 500 600 700 800 900 1000 ma (GeV) smaller M2 with µat>0 could possibly cancel H ± contribution. S. Su 28

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, 1112.4835 S. Su 29

Indirect Experimental Constraints Br(B s µ + µ ) < 1.08 10 8, CMS + LHCb; Bs µ + µ Br(B s µ + µ ) < 3.9 10 8, 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

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

Conclusions LHC Higgs search indication: mh around 125 GeV (or 115 130 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

Conclusions Interpret 125 GeV Higgs as the heavy CPeven Higgs. Region IV: ma: 95 100 GeV, tanβ: 810 Exp indirect constraints and direct constraints Implication for LHC searches: superparticles and Higgses (work in progress...) S. Su 33