Inert Doublet Model:

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1 Inert Doublet Model: Dark Matter Implication and Collider Phenomenology Shufang Su U. of Arizona S. Su In collaboration with E. Dolle, X. Miao and B. Thomas

2 Inert Doublet Model Introduce another Higgs field that only couples to gauge sector impose Z2 parity: SM particles +, extra Higgs: ( ) H H 1 = H + SM H 2 = (S + ia)/ 2 lightest one: DM candicate Inert Doublet Model (IDM) V = µ 2 1 H µ 2 2 H λ 1 H λ 2 H λ 3 H 1 2 H λ 4 H 1 H λ 5 2 [ ] (H 1 H 2) 2 + h.c.. (µ 2 1, µ2 2, λ 1, λ 2, λ 3, λ 4, λ 5 ). (v, m h, m S, δ 1, δ 2, λ 2, λ L ). S. Su 2

3 Inert Doublet Model Introduce another Higgs field that only couples to gauge sector impose Z2 parity: SM particles +, extra Higgs: ( ) H H 1 = H + SM H 2 = (S + ia)/ 2 lightest one: DM candicate Inert Doublet Model (IDM) V = µ 2 1 H µ 2 2 H λ 1 H λ 2 H λ 3 H 1 2 H λ 4 H 1 H λ 5 2 [ ] (H 1 H 2) 2 + h.c.. (µ 2 1, µ2 2, λ 1, λ 2, λ 3, λ 4, λ 5 ). (v, m h, m S, δ 1, δ 2, λ 2, λ L ). δ1=mh±ms S. Su 2

4 Inert Doublet Model Introduce another Higgs field that only couples to gauge sector impose Z2 parity: SM particles +, extra Higgs: ( ) H H 1 = H + SM H 2 = (S + ia)/ 2 lightest one: DM candicate Inert Doublet Model (IDM) V = µ 2 1 H µ 2 2 H λ 1 H λ 2 H λ 3 H 1 2 H λ 4 H 1 H λ 5 2 [ ] (H 1 H 2) 2 + h.c.. (µ 2 1, µ2 2, λ 1, λ 2, λ 3, λ 4, λ 5 ). (v, m h, m S, δ 1, δ 2, λ 2, λ L ). δ1=mh±ms δ2=mams S. Su 2

5 Inert Doublet Model Introduce another Higgs field that only couples to gauge sector impose Z2 parity: SM particles +, extra Higgs: ( ) H H 1 = H + SM H 2 = (S + ia)/ 2 lightest one: DM candicate Inert Doublet Model (IDM) V = µ 2 1 H µ 2 2 H λ 1 H λ 2 H λ 3 H 1 2 H λ 4 H 1 H λ 5 2 [ ] (H 1 H 2) 2 + h.c.. (µ 2 1, µ2 2, λ 1, λ 2, λ 3, λ 4, λ 5 ). (v, m h, m S, δ 1, δ 2, λ 2, λ L ). δ1=mh±ms δ2=mams SSh coupling λ L = λ 3 + λ 4 + λ 5 S. Su 2

6 Constraints Vacuum stability Perturbativity Dark matter direct detection W and Z decay width W S/A + H ±, Z S+A, H + H LEP II constraints Neutral and charged Higgs searches at LEP and Tevatron: does not apply rely on VVh coupling and the couplings of Higgses to fermions S. Su 3

7 Constraints LEP II constraints MSSM searches: e + e χ1 0 χ2 0 with χ2 0 χ1 0 qq/µµ/ee similar to e + e SA with A Sqq/µµ/ee LEP excluded mass H 0 [GeV] LEP II energy reach LEP I excluded mass A 0 [GeV] E. Lundstrom, M. Gustafsson and J. Edsjo, MSSM searches: e + e χ1 + χ1 similar to e + e H + H mh± 70 GeV S. Su 4

8 Constraints LEP II constraints MSSM searches: e + e χ1 0 χ2 0 with χ2 0 χ1 0 qq/µµ/ee similar to e + e SA with A Sqq/µµ/ee LEP excluded mass H 0 [GeV] LEP II energy reach LEP I ms +ma < mz excluded LEP I excluded mass A 0 [GeV] E. Lundstrom, M. Gustafsson and J. Edsjo, MSSM searches: e + e χ1 + χ1 similar to e + e H + H mh± 70 GeV S. Su 4

9 Constraints LEP II constraints MSSM searches: e + e χ1 0 χ2 0 with χ2 0 χ1 0 qq/µµ/ee similar to e + e SA with A Sqq/µµ/ee LEP excluded 90 mass H 0 [GeV] LEP II energy reach LEP II δ2 > 8 GeV ms < 80 GeV ma < 100 GeV excluded LEP I ms +ma < mz excluded LEP I excluded mass A 0 [GeV] E. Lundstrom, M. Gustafsson and J. Edsjo, MSSM searches: e + e χ1 + χ1 similar to e + e H + H mh± 70 GeV S. Su 4

10 Constraints LEP II constraints MSSM searches: e + e χ1 0 χ2 0 with χ2 0 χ1 0 qq/µµ/ee similar to e + e SA with A Sqq/µµ/ee LEP excluded 90 δ2 < 8 GeV ms +ma > mz allowed mass H 0 [GeV] LEP II energy reach LEP II δ2 > 8 GeV ms < 80 GeV ma < 100 GeV excluded LEP I ms +ma < mz excluded LEP I excluded mass A 0 [GeV] E. Lundstrom, M. Gustafsson and J. Edsjo, MSSM searches: e + e χ1 + χ1 similar to e + e H + H mh± 70 GeV S. Su 4

Electroweak Precision Test Electroweak precision test H 2 = ( H + (S + ia)/ 2 ) 400 mh=120 GeV 0.4 m t = 172.7 ± 2.9 GeV m h = 114...1000 GeV 400 mh=500 GeV 350 300 10 GeV 40 GeV 75 GeV 600 GeV 0.

11 Electroweak Precision Test Electroweak precision test H 2 = ( H + (S + ia)/ 2 ) 400 mh=120 GeV 0.4 m t = ± 2.9 GeV m h = GeV 400 mh=500 GeV GeV 40 GeV 75 GeV 600 GeV 0.2 U= GeV 40 GeV 75 GeV 600 GeV! 2 [GeV] T 0 0.2! 2 [GeV] m t ! 1 [GeV] m h % CL ! 1 [GeV] S. Su 5 gure 1: (Adapted from [8].) Dependence of the S, T parameters on the Higgs mass. The thick

12 Electroweak Precision Test Electroweak precision test H 2 = ( H + (S + ia)/ 2 ) mh=120 GeV mh=500 GeV GeV 40 GeV 75 GeV 600 GeV GeV 40 GeV 75 GeV 600 GeV! 2 [GeV] ! 2 [GeV] ! 1 [GeV] ! 1 [GeV] S. Su 5

13 Dark matter relic density coannihilation of S, A coannihilation of S, H ± δ2=mams δ1=mh±ms δ2 A S δ1 H ± Use MicrOMEGA /CalCHEP to calculate the relic density low mass region: ms < 100 GeV high mass region: ms > 400 GeV S. Su 6

14 Low mass region: vary δ2 δ1=mh±ms = 50 GeV, λl= ! h δ2=mams = 10 GeV δ2=mams = 7 GeV mh=120 δ2=mams = 5 GeV m S S. Su 7

15 Low mass region: vary δ2 δ1=mh±ms = 50 GeV, λl= A 0.25 q S! h Z q δ2=mams = 10 GeV coannihilation δ2=mams = 7 GeV mh=120 δ2=mams = 5 GeV m S zpole S. Su 7

16 Low mass region: vary δ2 δ1=mh±ms = 50 GeV, λl= ! h δ2=mams = 10 GeV coannihilation δ2=mams = 7 GeV mh=120 δ2=mams = 5 GeV m S zpole S. Su 7

17 Low mass region: vary δ2 δ1=mh±ms = 50 GeV, λl= Ŝ q, l h SM Ŝ q, l! h δ2=mams = 10 GeV coannihilation δ2=mams = 7 GeV mh=120 δ2=mams = 5 GeV m S zpole S. Su 7 hpole

18 Low mass region: vary δ2 δ1=mh±ms = 50 GeV, λl= ! h δ2=mams = 10 GeV coannihilation δ2=mams = 7 GeV mh=120 δ2=mams = 5 GeV m S zpole S. Su 7 hpole

19 Low mass region: vary δ2 δ1=mh±ms = 50 GeV, λl=0.01 S W S 7 5 S H W W S W H ± S W S W! h δ2=mams = 10 GeV coannihilation δ2=mams = 7 GeV mh=120 δ2=mams = 5 GeV m S zpole S. Su 7 hpole

20 Low mass region: vary δ2 δ1=mh±ms = 50 GeV, λl=0.01 S W S 7 5 S H W W S W H ± S W S W! h δ2=mams = 10 GeV coannihilation SS ZZ δ2=mams = 7 GeV mh=120 δ2=mams = 5 GeV m S zpole S. Su 7 hpole

21 Low mass region: vary δ2 δ1=mh±ms = 50 GeV, λl= ! h δ2=mams = 10 GeV coannihilation SS ZZ δ2=mams = 7 GeV mh=120 δ2=mams = 5 GeV m S zpole S. Su 7 hpole

22 Viable region for relic density DM SM h ms δ1, δ2 λl (I) low ms low mh GeV GeV 0.2 to 0 (II) GeV at least one is large (III) high mh GeV large δ1 δ2 < 8 GeV 0.2 to to 3 (IV) 75 GeV large δ1, δ2 1 to 3 (V) high ms low mh GeV small δ1, δ2 0.2 to 0.3 most of the m S region between 40 GeV and 60 GeV, the relic density for the dark matter is too small due to the large coannihilation SA cross section. However, there is a viable region for 60 GeV < m S < 80 GeV with λ L in the region of ±0.1.! L !0.1!0.2!0.3!0.4! , (I) * (II) (III) 6 (IV) +34 (V) !2!0.1!2!0.1!2!+31!4!0.2!4!0.2!4!+32!6!0.3!6!0.3!6!+34!8!0.4!8!0.4!8!+3* !10!0.5!10!0.5!10!+3, *++, / m [GeV] m [GeV] m [GeV] m [GeV] S! #$%&'( S m S [GeV] S m S [GeV] S "! L! L! L! L! L! ) blue curves) in m S λ L plane for mfig. h =120 6: FIG. GeV. WMAP 4: WMAP 3σ allowed 3σ allowed region region (enclosed (enclosed by blue by blue curves) curves) in min S m S λ L plane λ L plane for for m h m=500 h =120 GeV. GeV. 50, 50) GeV (left plot), (70,70) GeV (right plot). ical and experimental constraints; see Shaded caption Shaded regions of regions are excluded are excluded by various by various theoretical theoretical and and experimental constraints; see see caption caption of of Fig. 3 for Fig. explanation. 3 for explanation. S. Su The mass Thesplittings mass splittings are chosen are chosen to be (δ to 1, be δ 2 )(δ = 1, (250, δ 2 ) = 110) (10, 50) GeV GeV (left (left plot), plot), (180,8) (10,10) GeV GeV (right (right plot). plot). 8

23 Collider signatures +W (*) H ± A + Z (*) +W (*) pp SA SSZ ( ), SSW ( ) W ( ) S pp SH ± SSW ( ), SSZ ( ) W ( ) pp AH ± SSZ ( ) W ( ), SSZ ( ) Z ( ) W ( ), SSW ( ) W ( ) W ( ) pp H + H SSW ( ) W ( ), SSW ( ) W ( ) Z ( ), SSW ( ) W ( ) Z ( ) Z ( ). Signatures: jets + leptons + missing ET jets and leptons could be soft for small splittings S. Su 9

24 Leptonic signals Focus on purely leptonic signals single lepton: SH ± dilepton: SA, H + H trilepton: AH ±... Benchmark points Dominant background WW, ZZ/γ, WZ/γ, tt,... mh (GeV) ms (GeV) (δ1, δ2) (GeV) λl LH (100,100) LH (70,70) 0.15 LH (50,50) 0.2 LH (10,50) 0 LH (50,10) 0.18 HH (250,100) 0 HH (200,30) 0 S. Su 10

25 Dilepton signal from Z* Dilepton signals: pp SA SSZ (*) SSl + l pp H + H SSW (*) W (*) SSl + l νν Signal: pp SA SSZ (*) SSl + l Two isolated opposite charge e or µ with missing ET, no hard jets. Background: from IDM pp H + H SSW (*) W (*) SSl + l νν from SM pp WW l + l νν pp ZZ/γ l + l νν tt, WZ, Wt, Zt... with missing lepton or jets S. Su 11

26 Dilepton signal: LH1 LH1: ms = 40 GeV, (δ1, δ2)=(100,100) GeV Signal: pp SA SSZ SSl + l, l=e,µ Two isolated opposite charge e or µ with missing ET, no hard jets. 1/σ d σ/ d Mll ( &!! &!!& M ll W + W ZZ/γ t t W + Z/γ W + t SA ) &!!" S. &!!' Su ) 12! "! #! $! %! &!! &"! &#! &$! M ll

27 Dilepton signal: LH1 LH1: ms = 40 GeV, (δ1, δ2)=(100,100) GeV Signal: pp SA SSZ SSl + l, l=e,µ Two isolated opposite charge e or µ with missing ET, no hard jets. 1/σ d σ/ d Mll ( &!! &!!& M ll W + W ZZ/γ t t W + Z/γ W + t SA ) &!!" S. &!!' Su ) 12! "! #! $! %! &!! &"! &#! &$! M ll

28 Dilepton signal: LH1 LH1: ms = 40 GeV, (δ1, δ2)=(100,100) GeV I+II I+II+III Cuts PT l >15 GeV, ηl <2.5 ΔR(ll)>0.4 no jets with PT i >20 GeV, ηj <3 MET >100 GeV HT >200 GeV 80 GeV < Mll < 100 GeV S (fb) SA B (fb) H + H WW ZZ /γ tt WZ Wt total L=100 fb 1 S/B 0.04 s/ (B) 3.64 S. Su 13

29 Low mass region: LH4 LH4: ms = 73 GeV, (δ1, δ2)=(10,50) GeV Signal: pp SA SSZ* SSl + l, l=e,µ Two isolated opposite charge e or µ with large missing ET, no hard jets. 1/σ d σ/ d Mll &!! &!!& M ll W + W ZZ/γ t t W + Z/γ W + t SA ) &!!" S. Su 14 &!!' )! "! #! $! %! &!! &"! &#! &$! M ll

30 Low mass region: LH4 LH4: ms = 73 GeV, (δ1, δ2)=(10,50) GeV Signal: pp SA SSZ* SSl + l, l=e,µ Two isolated opposite charge e or µ with large missing ET, no hard jets. 1/σ d σ/ d Mll &!! &!!& M ll W + W ZZ/γ t t W + Z/γ W + t SA ) &!!" S. Su 14 &!!' )! "! #! $! %! &!! &"! &#! &$! M ll

31 Low mass region: LH4 LH4: ms = 73 GeV, (δ1, δ2)=(10,50) GeV Signal: pp SA SSZ* SSl + l, l=e,µ Two isolated opposite charge e or µ with large missing ET, no hard jets. 1/σ d σ/ d Mll &!! &!!& M ll W + W ZZ/γ t t W + Z/γ W + t SA ) &!!" S. Su 14 &!!' )! "! #! $! %! &!! &"! &#! &$! M ll

32 Low mass region: LH4 LH4: ms = 73 GeV, (δ1, δ2)=(10,50) GeV Signal: pp SA SSZ* SSl + l, l=e,µ Two isolated opposite charge e or µ with large missing ET, no hard jets.!" " Cos( φ ll ) * 1/σ d σ/ d cos ΔΦll!"!!!"!' W + W ZZ/γ t t W + Z/γ W + t S. Su 15 SA!"!( *!!!"#$!"#%!"#&!"#' " "#' "#& "#% "#$! Cos( φ ll )

33 Low mass region: LH4 LH4: ms = 73 GeV, (δ1, δ2)=(10,50) GeV Signal: pp SA SSZ* SSl + l, l=e,µ Two isolated opposite charge e or µ with large missing ET, no hard jets.!" " Cos( φ ll ) * 1/σ d σ/ d cos ΔΦll!"!!!"!' W + W ZZ/γ t t W + Z/γ W + t S. Su 15 SA!"!( *!!!"#$!"#%!"#&!"#' " "#' "#& "#% "#$! Cos( φ ll )

34 Low mass region: LH4 LH4: ms = 73 GeV, (δ1, δ2)=(10,50) GeV I+II I+II+III Cuts PT l >15 GeV, ηl <2.5 ΔR(ll)>0.4 no jets with PT i >20 GeV, ηj <3 MET >90 GeV HT >200 GeV 20 GeV< Mll < 50 GeV cos(ϕll)>0.7 ΔR(ll)<0.8 S (fb) SA B (fb) H + H < <0.001 WW ZZ /γ tt WZ Wt total 0.47 L=100 fb 1 S/B 0.47 s/ (B) 3.23 S. Su 16

35 Low mass region: LH2 LH2: m S = 40 GeV, (δ1, δ2)=(70,70) GeV I+II I+II+III Cuts PT l >15 GeV, ηl <2.5 ΔR(ll)>0.4 no jets with PT i >20 GeV, ηj <3 MET >50 GeV HT >150 GeV Mll < 70 GeV cos(ϕll)>0.7 ΔR(ll)<1.2 S (fb) SA B (fb) H + H <0.001 WW ZZ /γ tt WZ Wt total 0.88 L=100 fb 1 S/B 1.11 s/ (B) S. Su 17

36 Dilepton signal: LH5 LH5: ms = 79 GeV, (δ1, δ2)=(50,10) GeV Signal: pp SA SSZ* SSl + l, l=e,µ Soft leptons. Difficult. S. Su 18

37 Collider LHC pp SA SSZ (*) SSl + l ms (δ1, δ2) S B S/B S/ (B) GeV GeV fb fb L=100 fb 1 LH1 40 (100,100) LH2 40 (70,70) LH3 82 (50,50) LH4 73 (10,50) LH5 79 (50,10) HH1 76 (250,100) HH2 76 (200,30) S. Su 19

38 Collider LHC pp SA SSZ (*) SSl + l ms (δ1, δ2) S B S/B S/ (B) GeV GeV fb fb L=100 fb 1 LH1 40 (100,100) LH2 40 (70,70) LH3 82 (50,50) LH4 73 (10,50) LH5 79 (50,10) HH1 76 (250,100) HH2 76 (200,30) S. Su 19

39 Collider LHC pp SA SSZ (*) SSl + l ms (δ1, δ2) S B S/B S/ (B) GeV GeV fb fb L=100 fb 1 LH1 40 (100,100) LH2 40 (70,70) LH3 82 (50,50) LH4 73 (10,50) LH5 79 (50,10) HH1 76 (250,100) HH2 76 (200,30) S. Su 19

40 Conclusions IDM: provide a scalar WIMP dark matter candidate Viable regions of parameter spaces provide correct relic density DM SM h ms δ1, δ2 λl (I) low ms low mh GeV GeV 0.2 to 0 (II) GeV at least one is large (III) high mh GeV large δ1 δ2 < 8 GeV 0.2 to to 3 (IV) 75 GeV large δ1, δ2 1 to 3 (V) high ms low mh GeV small δ1, δ2 0.2 to 0.3 Rich collider phenomenology dilepton signal (from SA) observable for not too small δ2. S. Su 20

The inert doublet model in light of LHC and XENON

The inert doublet model in light of LHC and XENON Sara Rydbeck 24 July 212 Identification of Dark Matter, IDM 212, Chicago 1 The CERN Large Hadron Collider Only discovery so far. If no new strongly interacting