lhc limits on the higgs-portal wimps
TRANSCRIPT
Yoshitaro Takaesu U. of Tokyo
LHC limits on the Higgs-‐portal WIMPs
arXiv: 1407.6882 in collabora5on with M. Endo (U.Tokyo)
Portal models to Hidden Sector
2
Consider another world where par5cles are SM singlets (Hidden Sector).
The par5cles interact to our SM world through Gravity.
Also, they may interact through…
DM ?
HL
FYµXµ
1fS
FµFµS
|H|2S2
Neutrino Portal
Vector Portal
Axion Portal
Higgs Portal
Sterile neutrino
Dark Photon
Axino-‐like par5cle
Higgs invisible decay
SM Hidden G
In this talk, we discuss the Higgs-‐portal possibility.
Constraints on Higgs-‐portal models
3
• Relic abundance • Direct detec5on • Collider search
Tight constraints on Higgs-‐portal “DM”. S5ll important to know to what extent LHC can explore the heavier Higgs-‐portal models.
Heavy Higgs-‐portal WIMP search
[Simone, Giudice, Strumia: 1402.6287]
Need not to be the DM
Higgs-‐portal models to be studied
4
Scalar
Vector
AnI-‐sym. Tensor
S, Vµ, Bµ are SM singlets.
parity is assumed for , and to ensure their stability.
LV = 14V µVµ +
12M2
V V µVµ + cV |H|2V µVµ V (V µVµ)2
LB =14BµBµ
12µBµB
14M2
BBµBµ cB |H|2BµBµ
BBµBBBµ
LS =12µSµS 1
2M2
SS2 cS |H|2S2 SS4
Z2 S Vµ
Fermionic hidden par5cle is not considered here for simplicity. Bµ
[A. Djouadi et al.1205.3169, S.Kanemura et al.1005.5651 ]
[O.Cata, A. Ibarra: 1404.0432]
m2B = M2
B + 4cBv2m2V = M2
V + 2cV v2m2S = M2
S + 2cSv2 acer EWSB
14VµV µ +
12M2
BVµV µ +cB
M2B
|H|2FµFµ + · · ·
LHC search for Heavy Higgs-‐portal WIMP
5
Higgs invisible decay at the LHC
6
Vector Boson Fusion (VBF)
BR_inv < 0.65 [CMS: 8TeV 19.5 i^-‐1: 1404.1344]
Z associated producIon (ZH)
BR_inv < 0.75 [ATLAS: 8TeV 20.3 i^-‐1: 1402.3244]
BR_inv < 0.81 [CMS: 8TeV 19.5 i^-‐1: 1404.1344]
• Good S/B (Z-‐mass constraint, 2-‐lepton +missing) • Cross sec5on is small (Useful at high luminosity)
• 2nd largest Higgs produc5on process • Good S/B (large rapidity gap of 2 energe5c forwarding jets)
Mono-‐X searches
7
Mono-‐X searches (X +missing pT) are also sensi5ve to Higgs-‐portal models.
Mono-‐jet
• Large Cross sec5on • Main mono-‐X mode so far • S/B is not good • Gluon-‐fusion Higgs produc5on
Mono-‐Z
• Same topology as ZH for Higgs-‐portal model
Mono-‐lepton Mono-‐photon Mono-‐top Mono-‐Higgs etc …
Analysis Details
8
• VBF Higgs invisible decay • Mono-‐jet • Mono-‐Z
* ZH, mono-‐lepton results (profile-‐based) will not be used since they rely on the on-‐shell Higgs produc5on topology.
Cross secIon of WIMP-‐pair producIon
9
We can express the WIMP pair produc5on cross sec5on as
This is the basic formulae for our analysis.
s
S(
s,mS ; cS) =c2S
8
v2
s
1 4m2
S
s
V (
s,mV ; cV ) =c2V
32
v2
s
s2
m4V
1 4m2
V
s+
12m4V
s2
1 4m2
V
s
B(
s,mB ; cB) =c2B
4
v2
s
s2
m4B
1 4m2
B
s+
6m4B
s2
1 4m2
B
s
VBF analysis (CMS , 1404.1344)
10
We calculate under the following cuts (w/ HAWK v2): H(pp jj H;mH)
19.5 fb1
pp H jj jj
Compare to the upper bound on the signal events.
N lims = 210 0.65 137
95% CL upper bound c2(m) <
N lims
(m, c = 1)L
(m, c)L < N lims
95% limits on BR_inv Data
Mono-‐Z analysis (ATLAS , 1404.0051)
11
We calculate under the following cuts (w/ HAWK-‐2.0): H(pp ZH;mH)
20.3 fb1
pµT > 20 GeV, |µ| < 2.5
peT > 20 GeV, |e| < 2.47
76 GeV < mll < 106 GeV|ll| < 2.5
pT > 150 GeV giving the most stringent limit
Data 95%CL Limits on cross secIon
c2(m) <
lim
(m, c = 1)
Mono-‐jet analysis
12
pp Hj j
Since this is QCD process, we want to evaluate it at least NLO QCD order. However, NLO cross sec5on is known only in limit. mt
We approximate the NLO cross sec5on as [L.Altenkamp et al. 1211.5015]
We want to calculate (pp Hj;mH)Since mH can be much heavier than 2*mt, finite top mass effect significant.
LO
K-‐factor in infinite top mass limit
K-‐factor Good approx. up to (1/mt^4) order. But we don’t know beyond that.
It is urgent to make NLO pp > H+j with finite top mass available.
pTH pTj1
Mono-‐jet analysis (CMS-‐PAS-‐EXO-‐12-‐048 )
14
pp Hj j
We calculate with the approxima5on under the following cuts (w/ MCFM-‐6.8):
NLOH (pp jH;mH)
pTj1 > 110 GeV, |j1 | < 2.4
giving the most stringent limit
19.5 fb1
(* 2nd jet with pT > 30 GeV (from NLO real emission) is not vetoed, due to technical reason. )
Data & 95%CL limits on signal excess
pTH > 450GeV
8 TeV LHC constraints
15
0.1
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c χ
mχ [GeV]
VBFMono-jetMono-Z
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c χ
mχ [GeV]
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mχ [GeV]
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c χ
mχ [GeV]
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c χ
mχ [GeV]
Limits for the Heavy Higgs-‐portal WIMPs
16
Vector
Data : BG VBF 390 : 332(58) Mono-‐jet 1772 : 1931(131) Mono-‐Z 45 : 52(18)
8TeV LHC limits
0.1
0.2
0.5
1
2
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10
50 100 150 200 250 300 350
c χ
mχ [GeV]
VBFMono-jetMono-Z
0.1
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1
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10
50 100 150 200 250 300 350
c χ
mχ [GeV]
0.1
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50 100 150 200 250 300 350
c χ
mχ [GeV]
0.1
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50 100 150 200 250 300 350
c χ
mχ [GeV]
0.1
0.2
0.5
1
2
5
10
50 100 150 200 250 300 350
c χ
mχ [GeV]
Ωh2 = 0.01
0.001
10-4
10-5
10-6
10-710-8
Limits for the Heavy Higgs-‐portal WIMPs
17
Vector
Thermal freeze out Relic abundance
Relic abundance is Very small in this param. Region. > SubSub component DM
Limits for the Heavy Higgs-‐portal WIMPs
18
0.1
0.2
0.5
1
2
5
10
50 100 150 200 250 300 350
c χ
mχ [GeV]
VBFMono-jetMono-Z
0.1
0.2
0.5
1
2
5
10
50 100 150 200 250 300 350
c χ
mχ [GeV]
0.1
0.2
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1
2
5
10
50 100 150 200 250 300 350
c χ
mχ [GeV]
0.1
0.2
0.5
1
2
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10
50 100 150 200 250 300 350
c χ
mχ [GeV]
0.1
0.2
0.5
1
2
5
10
50 100 150 200 250 300 350
c χ
mχ [GeV]
Ωh2 = 0.01
0.001
10-4
10-5
10-6
10-710-8
Vector
Thermal freeze out Relic abundance
Direct search (shaded) Assump5on:
LUX 95% (2013)
haloWIMP
haloDM
=relicWIMP
relicDM
0.1
0.2
0.5
1
2
5
10
50 100 150 200 250 300 350
c χ
mχ [GeV]
VBFMono-jetMono-Z
0.1
0.2
0.5
1
2
5
10
50 100 150 200 250 300 350
c χ
mχ [GeV]
0.1
0.2
0.5
1
2
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10
50 100 150 200 250 300 350
c χ
mχ [GeV]
0.1
0.2
0.5
1
2
5
10
50 100 150 200 250 300 350
c χ
mχ [GeV]
0.1
0.2
0.5
1
2
5
10
50 100 150 200 250 300 350
c χ
mχ [GeV]
Ωh2 = 0.01
0.001
10-4
10-5
10-6
10-710-8
Limits for the Heavy Higgs-‐portal WIMPs
19
Vector
However, this direct search Limit is very sensi5ve to the halo WIMP density…
haloWIMP
haloDM
= 10relicWIMP
relicDM
LUX 95% (2013)
0.1
0.2
0.5
1
2
5
10
50 100 150 200 250 300 350
c χ
mχ [GeV]
VBFMono-jetMono-Z
0.1
0.2
0.5
1
2
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10
50 100 150 200 250 300 350
c χ
mχ [GeV]
0.1
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10
50 100 150 200 250 300 350
c χ
mχ [GeV]
0.1
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1
2
5
10
50 100 150 200 250 300 350
c χ
mχ [GeV]
0.1
0.2
0.5
1
2
5
10
50 100 150 200 250 300 350
c χ
mχ [GeV]
Ωh2 = 0.01
0.001
10-4
10-5
10-6
10-710-8
Limits for the Heavy Higgs-‐portal WIMPs
20
Vector
However, this direct search Limit is very sensi5ve to the halo WIMP density…
haloWIMP
haloDM
= 0.1relicWIMP
relicDM
LUX 95% (2013)
Limits for the Heavy Higgs-‐portal WIMPs
21
0.1
0.2
0.5
1
2
5
10
50 100 150 200 250 300 350
c χ
mχ [GeV]
VBFMono-jetMono-Z
0.1
0.2
0.5
1
2
5
10
50 100 150 200 250 300 350
c χ
mχ [GeV]
0.1
0.2
0.5
1
2
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10
50 100 150 200 250 300 350
c χ
mχ [GeV]
0.1
0.2
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1
2
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50 100 150 200 250 300 350
c χ
mχ [GeV]
0.1
0.2
0.5
1
2
5
10
50 100 150 200 250 300 350
c χ
mχ [GeV]
Ωh2 = 0.01
0.001
10-4
10-5
10-6
10-710-8
Vector
However, this direct search Limit is very sensi5ve to the halo WIMP density…
It seems to difficult to put exclusion limit from direct search, But have discovery poten5al where LHC cannot search.
LUX 95% (2013)
LHC can put stringent Constraint regardless WIMP’s existence In the Universe.
Limits for the Heavy Higgs-‐portal WIMPs
22
S =c2Sv2
8mH
1 4m2S
m2H
B =c2Bv2
4mH
m4H 4m2
Hm2B + 6m4
B
m4B
1 4m2B
m2H
V =c2V v2
32mH
m4H 4m2
Hm2V + 12m4
V
m4V
1 4m2V
m2H
0.1
0.2
0.5
1
2
5
10
50 100 150 200 250 300 350
c χ
mχ [GeV]
VBFMono-jetMono-Z
0.1
0.2
0.5
1
2
5
10
50 100 150 200 250 300 350
c χ
mχ [GeV]
0.1
0.2
0.5
1
2
5
10
50 100 150 200 250 300 350
c χ
mχ [GeV]
0.1
0.2
0.5
1
2
5
10
50 100 150 200 250 300 350
c χ
mχ [GeV]
0.1
0.2
0.5
1
2
5
10
50 100 150 200 250 300 350
c χ
mχ [GeV]
Ωh2 = 0.010.001
10-4
10-5
10-610-7
Tensor
0.1
0.2
0.5
1
2
5
10
50 100 150 200 250 300 350
c χ
mχ [GeV]
VBFMono-jetMono-Z
0.1
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1
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10
50 100 150 200 250 300 350
c χ
mχ [GeV]
0.1
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1
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10
50 100 150 200 250 300 350
c χ
mχ [GeV]
0.1
0.2
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1
2
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10
50 100 150 200 250 300 350
c χ
mχ [GeV]
0.1
0.2
0.5
1
2
5
10
50 100 150 200 250 300 350
c χ
mχ [GeV]
Ωh2 = 0.01
0.001
10-4
10-5
10-6
10-710-8
Vector
0.1
0.2
0.5
1
2
5
10
50 100 150 200 250 300 350
c χ
mχ [GeV]
VBFMono-jetMono-Z
0.1
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1
2
5
10
50 100 150 200 250 300 350
c χ
mχ [GeV]
0.1
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50 100 150 200 250 300 350
c χ
mχ [GeV]
0.1
0.2
0.5
1
2
5
10
50 100 150 200 250 300 350
c χ
mχ [GeV]
Ωh2 = 0.01
0.001
10-4
10-5
10-6
10-710-8
Scalar
LUX
LUX
LUX
14 TeV LHC prospects
23
How to perform (rough) projecIon
24
We need to know and to es5mate the 14 TeV constraints on .
N limsig
c
c2(m) <
N limsig
(m, c = 1)L
is roughly es5mated with the following assump5ons: N limsig
95% CL (simple Gaussian)
Rela5ve does not improve
Rela5ve reduces as . 1/
NBG
NBG increases due to PDF (luminosity ra5o) and integrated luminosity L
is es5mated by theore5cal calcula5ons with experimental cuts.
sys
stat
stat
NBG
14TeV
=
N8TeV
BGN14TeV
BG
stat
NBG
8TeV
N limsig 2tot
tot =
2sys + 2
stat
sys
NBG
14TeV
=
sys
NBG
8TeV
VBF channels
25
[5] ATLAS, 1402.3244 [6] CMS, 1404.1344 [16] D.Gosh et al., 1211.7015 [17] ATL-‐PHYS-‐PUB-‐2013-‐014 [18] Snowmass, 1309.7925
95% Upper bounds on the Higgs inv. decay ra5o at mH = 125 GeV
The VBF bound will be improved by a factor of 4 at mH = 125 GeV.
The Upper bound on improves a factor of 2. c
=
4m2
ds
2H(s)(s)
2
s
(sm2H)2 + 2
Hm2H
If this level of improvement holds for any mH, the Upper bound on improves by a factor of 4.
Profile-‐based Cut-‐based
0.1
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c χ
mχ [GeV]
VBFMono-jetMono-Z
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c χ
mχ [GeV]
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c χ
mχ [GeV]
0.1
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c χ
mχ [GeV]
0.1
0.2
0.5
1
2
5
10
50 100 150 200 250 300 350
c χ
mχ [GeV]
Ωh2 = 0.010.001
10-4
10-5
10-610-7
26
14TeV LHC SensiIvity (Tensor) 8TeV
0.1
0.2
0.5
1
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10
50 100 150 200 250 300 350
c χ
mχ [GeV]
VBF
0.1
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50 100 150 200 250 300 350
c χ
mχ [GeV]
0.1
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1
2
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50 100 150 200 250 300 350
c χ
mχ [GeV]
Mono-jetMono-Z
0.1
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1
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10
50 100 150 200 250 300 350
c χ
mχ [GeV]
0.1
0.2
0.5
1
2
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10
50 100 150 200 250 300 350
c χ
mχ [GeV]
Ωh2 = 0.010.001
10-4
10-5
10-610-714TeV
100 b^-‐1
0.1
0.2
0.5
1
2
5
10
50 100 150 200 250 300 350
c χ
mχ [GeV]
VBF
0.1
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50 100 150 200 250 300 350
c χ
mχ [GeV]
0.1
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1
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10
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c χ
mχ [GeV]
Mono-jetMono-Z
0.1
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1
2
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10
50 100 150 200 250 300 350
c χ
mχ [GeV]
0.1
0.2
0.5
1
2
5
10
50 100 150 200 250 300 350
c χ
mχ [GeV]
Ωh2 = 0.010.001
10-4
10-5
10-610-714TeV
100 b^-‐1
XENON1T 90%CL (2017)
0.1
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1
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10
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c χ
mχ [GeV]
VBFMono-jetMono-Z
0.1
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50 100 150 200 250 300 350
c χ
mχ [GeV]
0.1
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1
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10
50 100 150 200 250 300 350
c χ
mχ [GeV]
0.1
0.2
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1
2
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10
50 100 150 200 250 300 350
c χ
mχ [GeV]
0.1
0.2
0.5
1
2
5
10
50 100 150 200 250 300 350
c χ
mχ [GeV]
Ωh2 = 0.010.001
10-4
10-5
10-610-7
LUX 95%CL (2013)
8TeV
0.1
0.2
0.5
1
2
5
10
50 100 150 200 250 300 350
c χ
mχ [GeV]
VBFMono-jetMono-Z
0.1
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1
2
5
10
50 100 150 200 250 300 350
c χ
mχ [GeV]
0.1
0.2
0.5
1
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10
50 100 150 200 250 300 350
c χ
mχ [GeV]
0.1
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1
2
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10
50 100 150 200 250 300 350
c χ
mχ [GeV]
0.1
0.2
0.5
1
2
5
10
50 100 150 200 250 300 350
c χ
mχ [GeV]
Ωh2 = 0.01
0.001
10-4
10-5
10-6
10-710-8
27
14TeV LHC SensiIvity (Vector)
8TeV
0.1
0.2
0.5
1
2
5
10
50 100 150 200 250 300 350
c χ
mχ [GeV]
VBF
0.1
0.2
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1
2
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10
50 100 150 200 250 300 350
c χ
mχ [GeV]
Mono-jetMono-Z
0.1
0.2
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1
2
5
10
50 100 150 200 250 300 350
c χ
mχ [GeV]
0.1
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1
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10
50 100 150 200 250 300 350
c χ
mχ [GeV]
0.1
0.2
0.5
1
2
5
10
50 100 150 200 250 300 350
c χ
mχ [GeV]
Ωh2 = 0.01
0.001
10-4
10-5
10-6
10-710-8
14TeV 100 b^-‐1
0.1
0.2
0.5
1
2
5
10
50 100 150 200 250 300 350
c χ
mχ [GeV]
VBF
0.1
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1
2
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10
50 100 150 200 250 300 350
c χ
mχ [GeV]
Mono-jetMono-Z
0.1
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1
2
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10
50 100 150 200 250 300 350
c χ
mχ [GeV]
0.1
0.2
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1
2
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10
50 100 150 200 250 300 350
c χ
mχ [GeV]
0.1
0.2
0.5
1
2
5
10
50 100 150 200 250 300 350
c χ
mχ [GeV]
Ωh2 = 0.01
0.001
10-4
10-5
10-6
10-710-814TeV 100 b^-‐1
XENON1T
0.1
0.2
0.5
1
2
5
10
50 100 150 200 250 300 350
c χ
mχ [GeV]
VBFMono-jetMono-Z
0.1
0.2
0.5
1
2
5
10
50 100 150 200 250 300 350
c χ
mχ [GeV]
0.1
0.2
0.5
1
2
5
10
50 100 150 200 250 300 350
c χ
mχ [GeV]
0.1
0.2
0.5
1
2
5
10
50 100 150 200 250 300 350
c χ
mχ [GeV]
0.1
0.2
0.5
1
2
5
10
50 100 150 200 250 300 350
c χ
mχ [GeV]
Ωh2 = 0.01
0.001
10-4
10-5
10-6
10-710-8
LUX
8TeV
0.1
0.2
0.5
1
2
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10
50 100 150 200 250 300 350
c χ
mχ [GeV]
VBFMono-jetMono-Z
0.1
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c χ
mχ [GeV]
0.1
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c χ
mχ [GeV]
0.1
0.2
0.5
1
2
5
10
50 100 150 200 250 300 350
c χ
mχ [GeV]
Ωh2 = 0.01
0.001
10-4
10-5
10-6
10-710-8
28
14TeV LHC SensiIvity (Scalar)
8TeV
0.1
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0.5
1
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10
50 100 150 200 250 300 350
c χ
mχ [GeV]
VBF
0.1
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50 100 150 200 250 300 350
c χ
mχ [GeV]
Mono-jetMono-Z
0.1
0.2
0.5
1
2
5
10
50 100 150 200 250 300 350
c χ
mχ [GeV]
0.1
0.2
0.5
1
2
5
10
50 100 150 200 250 300 350
c χ
mχ [GeV]
0.1
0.2
0.5
1
2
5
10
50 100 150 200 250 300 350
c χ
mχ [GeV]
Ωh2 = 0.01
0.001
10-4
10-5
10-6
10-710-8
14TeV 100 b^-‐1
0.1
0.2
0.5
1
2
5
10
50 100 150 200 250 300 350
c χ
mχ [GeV]
VBF
0.1
0.2
0.5
1
2
5
10
50 100 150 200 250 300 350
c χ
mχ [GeV]
Mono-jetMono-Z
0.1
0.2
0.5
1
2
5
10
50 100 150 200 250 300 350
c χ
mχ [GeV]
0.1
0.2
0.5
1
2
5
10
50 100 150 200 250 300 350
c χ
mχ [GeV]
0.1
0.2
0.5
1
2
5
10
50 100 150 200 250 300 350
c χ
mχ [GeV]
Ωh2 = 0.01
0.001
10-4
10-5
10-6
10-710-8 14TeV
100 b^-‐1
XENON1T
0.1
0.2
0.5
1
2
5
10
50 100 150 200 250 300 350
c χ
mχ [GeV]
VBFMono-jetMono-Z
0.1
0.2
0.5
1
2
5
10
50 100 150 200 250 300 350
c χ
mχ [GeV]
0.1
0.2
0.5
1
2
5
10
50 100 150 200 250 300 350
c χ
mχ [GeV]
0.1
0.2
0.5
1
2
5
10
50 100 150 200 250 300 350
c χ
mχ [GeV]
Ωh2 = 0.01
0.001
10-4
10-5
10-6
10-710-8
Scalar
LUX
8TeV
Summary
29
LHC constraints on the Heavy Higgs-‐portal WIMP have been Studied.
8 TeV LHC results can access the Higgs-‐portal couplings below 1 for the vector and tensor case. Scalar coupling limit is very weak.
14 TeV LHC can reach at O(0.1) couplings for vector and tensor case. The scalar coupling below O(1) will be remained unexplored.
VBF channel already shows good performance in 8 TeV LHC, replacing the mono-‐jet channel. ZH, Mono-‐Z channel will also be a important channel in 14 TeV LHC.
LHC and Direct search may be compliment with each other.