lhc limits on the hggs-portal models
TRANSCRIPT
Yoshitaro Takaesu U. of Tokyo
LHC limits on the Higgs-‐portal models
arXiv: 1407.XXXX in collabora2on with M. Endo (U.Tokyo)
Portal models to Hidden Sector
2
Consider another world where par2cles are SM singlets (Hidden Sector).
The par2cles interacts to our SM world through Gravity.
Also, they may interact through…
DM ?
HL�
FYµ�Xµ�
1fS
Fµ�F̃µ�S
|H|2S2
Neutrino Portal
Vector Portal
Axion Portal
Higgs Portal
Sterile neutrino
Dark Photon
Axino-‐like par2cle
Higgs invisible decay
SM Hidden G
In this talk, we discuss the Higgs-‐portal possibility.
Constraints on Higgs-‐portal DM models
3
• Relic abundance • Direct detec2on • Collider search
�
�
� �
�
�
Tight constraints on Higgs-‐portal DM. S2ll important to know to what extent “LHC” can explore the heavier Higgs-‐portal models.
Heavy Higgs-‐portal DM search
[Simone, Giudice, Strumia: 1402.6287]
WIMP
Direct searches for Higgs invisible decay at the LHC
5
�
�
Vector Boson Fusion (VBF)
BR_inv < 0.65 [CMS: 8TeV 19.5 a^-‐1: 1404.1344]
��
Z associated producNon (ZH)
BR_inv < 0.75 [ATLAS: 8TeV 20.3 a^-‐1: 1402.3244]
BR_inv < 0.81 [CMS: 8TeV 19.5 a^-‐1: 1404.1344]
• Good S/B (Z-‐mass constraint, 2-‐lepton +missing) • Cross sec2on is small • Useful for high luminosity
• 2nd largest Higgs produc2on process • Good S/B (large rapidity gap of 2 energe2c forwarding jets)
SM predic2on: BR(H � ZZ � 2�2�) � 0.1%Sizable BR_inv is an evidence of BSM models!
Mono-‐X searches
7
Mono-‐X searches (X +missing pT) are also sensi2ve to Higgs-‐portal models.
Mono-‐jet
• Large Cross sec2on • Main mono-‐X mode so far • S/B is not good • Gluon-‐fusion Higgs produc2on
Mono-‐Z
• S/B is good (Z-‐mass constraint) • Cross sec2on is small • Useful for high luminosity • ZH produc2on
Mono-‐lepton
• S/B is good (but no W-‐mass constraint) • Cross sec2on is small (but larger than mono-‐Z) • Useful for high luminosity • WH produc2on
We will inves2gate the constraints of the LHC invisible searches on Heavier Higgs-‐portal WIMP models.
Higgs-‐portal models to be studied
9
Scalar
Vector
AnN-‐sym. Tensor (transverse)
S, Vµ, Bµ� are SM singlets.
parity is assumed for and to ensure their stability.
m2B = M2
B + 4cBv2m2V = M2
V + 2cV v2m2S = M2
S + 2cSv2
LV = �14V µ�Vµ� +
12M2
V V µVµ + cV |H|2V µVµ � �V (V µVµ)2
LB =14��Bµ���Bµ� �
12�µBµ���B
�� � 14M2
BBµ�Bµ� � cB |H|2Bµ�Bµ�
� �BBµ�B��B��B�µ
LS =12�µS�µS � 1
2M2
SS2 � cS |H|2S2 � �SS4
Z2 S Vµ
ajer EWSB
Fermionic hidden par2cle is not considered for simplicity.
(SM singlet has only the Higgs-‐portal interac2on. ) Bµ�
[A. Djouadi et al.1205.3169, S.Kanemura et al.1005.5651 ]
[O.Cata, A. Ibarra: 1404.0432]
Cross secNon of WIMP-‐pair producNon
10
We can express the WIMP produc2on cross sec2on as
This is the basic formulae for our analysis.
Analysis Details
11
• 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 produc2on topology.
VBF analysis (CMS , 1404.1344)
12
We calculate under the following cuts (w/ MCFM-‐6.8):
Compare to the upper bound on the signal events.
N lims = 210� 0.65 � 137
95% CL upper bound
�H(pp� jj H;mH)
19.5 fb�1
pp� H� jj � �� jj
�
�
c2�(m�) <
N lims
���(m�, c� = 1)L
���(m�, c�)L < N lims
First VBF for BR_inv
Mono-‐jet analysis
13
pp� H�j � ��jWe would like to evaluate the cross sec2on at least NLO QCD order. However, NLO cross sec2ons are only known in limit. mt ��
We approximate the NLO cross sec2on as
LO K-‐factor K-‐factor
[R.V.Handler et al. 1206.0157]
[L.Altenkamp et al. 1211.5015]
�
�
Mono-‐jet analysis (CMS-‐PAS-‐EXO-‐12-‐048 )
14
pp� H�j � ��j
We calculate under the following cuts (w/ MCFM-‐6.8): �NLOH (pp� jH;mH)
pTH > 450 GeV (for �LO(mt))
pTH > mH/2 (for K factor)
pTj1 > 110 GeV, |�j1 | < 2.4
• Taming the infinite top mass effects • Avoiding large region log(mH/pTH)
giving the most stringent limit
19.5 fb�1
(* 2nd jet with pT > 30 GeV (from NLO real emission) is not vetoed, due to technical reason. )
Mono-‐Z analysis (ATLAS , 1404.0051)
15
We calculate under the following cuts (w/ HAWK-‐2.0): �H(pp� ZH;mH)
20.3 fb�1
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
��
Limits for the Heavy Higgs-‐portal WIMPs
17
�S =c2Sv2
8�mH
�
1� 4m2S
m2H
�B =c2Bv2
4�mH
m4H � 4m2
Hm2B + 6m4
B
m4B
�
1� 4m2B
m2H
�V =c2V v2
32�mH
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
c χ
mχ [GeV]
VBFMono-jetMono-Z
0.1
0.2
0.5
1
2
5
10
50 100 150 200 250 300
c χ
mχ [GeV]
0.1
0.2
0.5
1
2
5
10
50 100 150 200 250 300
c χ
mχ [GeV]
0.1
0.2
0.5
1
2
5
10
50 100 150 200 250 300
c χ
mχ [GeV]
0.1
0.2
0.5
1
2
5
10
50 100 150 200 250 300
c χ
mχ [GeV]
0.1
0.2
0.5
1
2
5
10
50 100 150 200 250 300
c χ
mχ [GeV]
VBFMono-jetMono-Z
0.1
0.2
0.5
1
2
5
10
50 100 150 200 250 300
c χ
mχ [GeV]
0.1
0.2
0.5
1
2
5
10
50 100 150 200 250 300
c χ
mχ [GeV]
0.1
0.2
0.5
1
2
5
10
50 100 150 200 250 300
c χ
mχ [GeV]
0.1
0.2
0.5
1
2
5
10
50 100 150 200 250 300
c χ
mχ [GeV]
0.1
0.2
0.5
1
2
5
10
50 100 150 200 250 300
c χ
mχ [GeV]
VBFMono-jetMono-Z
0.1
0.2
0.5
1
2
5
10
50 100 150 200 250 300
c χ
mχ [GeV]
0.1
0.2
0.5
1
2
5
10
50 100 150 200 250 300
c χ
mχ [GeV]
0.1
0.2
0.5
1
2
5
10
50 100 150 200 250 300
c χ
mχ [GeV]
0.1
0.2
0.5
1
2
5
10
50 100 150 200 250 300
c χ
mχ [GeV]
Tensor Vector
Scalar
Data : BG VBF 390 : 332(58) Mono-‐jet 1772 : 1931(131) Mono-‐Z 45 : 52(18)
How to perform (theorist’s) projecNon
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We need to know and to es2mate the 14 TeV constraints on .
N limsig
���c�
c2�(m�) <
N limsig
���(m�, c� = 1)L
is roughly es2mated with the following assump2ons: N limsig
95% CL (simple Gaussian)
�sysBG does not improve
�statBG reduces as
N limsig � 2�BG
1/�
NBG
NBG increases due to PDF (luminosity ra2o) and integrated luminosity L
��� is es2mated by theore2cal calcula2ons with experimental cuts.
8TeV data
Mono-‐jet channel: 14 TeV LHC
20
1
10
100
1000
65 80 100 120 140 160 180 200 220 240
Cros
s Sec
tion
/ c2 χ [
fb]
mχ [GeV]
Tensor DMpTcut = 400 GeV
600 GeV800 GeV
1
10
100
1000
65 80 100 120 140 160 180 200 220 240
Cros
s Sec
tion
/ c2 χ [
fb]
mχ [GeV]
Tensor DM Vector DMpTcut = 400 GeV
600 GeV800 GeV
1
10
100
1000
65 80 100 120 140 160 180 200 220 240
Cros
s Sec
tion
/ c2 χ [
fb]
mχ [GeV]
Tensor DM Vector DM
Scalar DMpTcut = 400 GeV
pp� H�j � ��j Cross Sec2ons at 14 TeV
Cx < 1 (100 1/a)
Cx < 0.2 (100 1/a)
N lims (�pT > 400) � 2000 (L = 100 fb�1)
Mono-‐jet SensiNvity
21
0
1
2
3
4
5
6
7
8
Tensor Vector Scalar
Mono-‐J 8TeV
14TeV 400 (100)
400 (3,000)
600 (100)
600 (3,000)
VBF 8TeV
14TeV (100)
ZH 8TeV
14TeV (300)
14TeV (3,000)
clim �
m� = 70GeV�pcut
T (L)
* Rough Es2mate
Tensor
Mono-‐Z channel: 14 TeV LHC
22
0.01
0.1
1
10
100
65 80 100 120 140 160 180 200 220 240
Cros
s Sec
tion
/ c2 χ [
fb]
mχ [GeV]
Tensor DMpTcut = 150 GeV
250 GeV350 GeV450 GeV
0.01
0.1
1
10
100
65 80 100 120 140 160 180 200 220 240
Cros
s Sec
tion
/ c2 χ [
fb]
mχ [GeV]
Tensor DM Vector DMpTcut = 150 GeV
250 GeV350 GeV450 GeV
0.01
0.1
1
10
100
65 80 100 120 140 160 180 200 220 240
Cros
s Sec
tion
/ c2 χ [
fb]
mχ [GeV]
Tensor DM Vector DM
Scalar DMpTcut = 150 GeV
250 GeV350 GeV450 GeV
Cross Sec2ons at 14 TeV
(L = 100 fb�1)N lims (�pT > 450) � 5
pp� ZH� � Z��
VBF and ZH channels
23
[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 ra2o 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�
ds̃
2��H(s̃)��(s̃)
2�
s̃
(s̃�m2H)2 + �2
Hm2H
The ZH bound will be improved by a factor of 2 ~ 4 (300 1/a) and 4 ~ 12 (3,000 1/a).
The Upper bound on will be improved by a factor of 1.5 ~ 2 (300 1/a) and 2 ~ 3.5 (3,000 1/a).
c�
If this level of improvement holds for any mH, the Upper bound on improves a factor of 4.
Profile-‐based Cut-‐based
SensiNvity Summary (Mono-‐j, VBF, Mono-‐Z)
24
0
2
4
6
8
10
12
Tensor Vector Scalar
Mono-‐J 8TeV
14TeV 400 (100)
400 (300)
600 (100)
600 (300)
Mono-‐Z 8TeV
14TeV 450 (100)
450 (300)
VBF 8TeV
14TeV (100)
m� = 70GeV
MJ MZ VBF MJ MZ VBF MJ MZ VBF
* Rough Es2mate
Tensor
MJ MZ VBF
clim �
Summary
25
LHC constraints on the Heavy Higgs-‐portal models 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 channel will also be a leading channel in 14 TeV LHC.