Seminar at Tohoku University

1. Yoshitaro
Takaesu
U.
of
Tokyo
LHC
limits
on
the
Higgs-­‐portal
WIMPs
arXiv:
1407.6882
in
collabora5on
with
M.
Endo
(U.Tokyo)

2. 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
FY
µ Xµ
1
fS
Fµ
˜Fµ
S
|H|2
S2
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.

3. 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

4. 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 =
1
4
V µ
Vµ +
1
2
M2
V V µ
Vµ + cV |H|2
V µ
Vµ V (V µ
Vµ)2
LB =
1
4
Bµ
Bµ
1
2
µ
Bµ B
1
4
M2
BBµ
Bµ cB|H|2
Bµ
Bµ
BBµ B B B µ
LS =
1
2
µ
S µS
1
2
M2
SS2
cS|H|2
S2
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]
m2
B = M2
B + 4cBv2
m2
V = M2
V + 2cV v2
m2
S = M2
S + 2cSv2 acer
EWSB
1
4
VµV µ
+
1
2
M2
BVµV µ
+
cB
M2
B
|H|2
Fµ Fµ
+ · · ·

5. LHC
search
for
Heavy
Higgs-­‐portal
WIMP
5

6. 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)

7. 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
…

8. 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.

9. 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) =
c2
S
8
v2
˜s
1
4m2
S
˜s
V ( ˜s, mV ; cV ) =
c2
V
32
v2
˜s
˜s2
m4
V
1
4m2
V
˜s
+
12m4
V
˜s2
1
4m2
V
˜s
B( ˜s, mB; cB) =
c2
B
4
v2
˜s
˜s2
m4
B
1
4m2
B
˜s
+
6m4
B
˜s2
1
4m2
B
˜s

10. VBF
analysis
(CMS
,
1404.1344)
10
We
calculate
under
the
following
cuts
(w/
HAWK
v2):
H(pp jj H; mH)
19.5 fb 1
pp H jj jj
Compare
to
the
upper
bound
on
the
signal
events.
Nlim
s = 210 0.65 137
95%
CL
upper
bound
c2
(m ) <
Nlim
s
(m , c = 1)L
(m , c )L < Nlim
s
95%
limits
on
BR_inv
Data

11. Mono-­‐Z
analysis
(ATLAS
,
1404.0051)
11
We
calculate
under
the
following
cuts
(w/
HAWK-­‐2.0):
H(pp ZH; mH)
20.3 fb 1
pµ
T > 20 GeV, | µ
| < 2.5
pe
T > 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)

12. Mono-­‐jet
analysis
12
pp H j 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

13. 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

14. Mono-­‐jet
analysis
(CMS-­‐PAS-­‐EXO-­‐12-­‐048
)
14
pp H j j
We
calculate
with
the
approxima5on
under
the
following
cuts
(w/
MCFM-­‐6.8):
NLO
H (pp jH; mH)
pT j1 > 110 GeV, | j1 | < 2.4
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.
)
Data
&
95%CL
limits
on
signal
excess
pT H > 450GeV

15. 8
TeV
LHC
constraints
15

16. 0.1
0.2
0.5
1
2
5
10
50 100 150 200 250 300 350
cχ
mχ [GeV]
VBF
Mono-jet
Mono-Z
0.1
0.2
0.5
1
2
5
10
50 100 150 200 250 300 350
cχ
mχ [GeV]
0.1
0.2
0.5
1
2
5
10
50 100 150 200 250 300 350
cχ
mχ [GeV]
0.1
0.2
0.5
1
2
5
10
50 100 150 200 250 300 350
cχ
mχ [GeV]
0.1
0.2
0.5
1
2
5
10
50 100 150 200 250 300 350
cχ
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

17. 0.1
0.2
0.5
1
2
5
10
50 100 150 200 250 300 350
cχ
mχ [GeV]
VBF
Mono-jet
Mono-Z
0.1
0.2
0.5
1
2
5
10
50 100 150 200 250 300 350
cχ
mχ [GeV]
0.1
0.2
0.5
1
2
5
10
50 100 150 200 250 300 350
cχ
mχ [GeV]
0.1
0.2
0.5
1
2
5
10
50 100 150 200 250 300 350
cχ
mχ [GeV]
0.1
0.2
0.5
1
2
5
10
50 100 150 200 250 300 350
cχ
mχ [GeV]
Ωh2
= 0.01
0.001
10-4
10-5
10-6
10-7
10-8
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

18. 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
cχ
mχ [GeV]
VBF
Mono-jet
Mono-Z
0.1
0.2
0.5
1
2
5
10
50 100 150 200 250 300 350
cχ
mχ [GeV]
0.1
0.2
0.5
1
2
5
10
50 100 150 200 250 300 350
cχ
mχ [GeV]
0.1
0.2
0.5
1
2
5
10
50 100 150 200 250 300 350
cχ
mχ [GeV]
0.1
0.2
0.5
1
2
5
10
50 100 150 200 250 300 350
cχ
mχ [GeV]
Ωh2
= 0.01
0.001
10-4
10-5
10-6
10-7
10-8
Vector
Thermal
freeze
out
Relic
abundance
Direct
search
(shaded)
Assump5on:
LUX
95%
(2013)
halo
WIMP
halo
DM
=
relic
WIMP
relic
DM

19. 0.1
0.2
0.5
1
2
5
10
50 100 150 200 250 300 350
cχ
mχ [GeV]
VBF
Mono-jet
Mono-Z
0.1
0.2
0.5
1
2
5
10
50 100 150 200 250 300 350
cχ
mχ [GeV]
0.1
0.2
0.5
1
2
5
10
50 100 150 200 250 300 350
cχ
mχ [GeV]
0.1
0.2
0.5
1
2
5
10
50 100 150 200 250 300 350
cχ
mχ [GeV]
0.1
0.2
0.5
1
2
5
10
50 100 150 200 250 300 350
cχ
mχ [GeV]
Ωh2
= 0.01
0.001
10-4
10-5
10-6
10-7
10-8
Limits
for
the
Heavy
Higgs-­‐portal
WIMPs
19
Vector
However,
this
direct
search
Limit
is
very
sensi5ve
to
the
halo
WIMP
density…
halo
WIMP
halo
DM
= 10
relic
WIMP
relic
DM
LUX
95%
(2013)

20. 0.1
0.2
0.5
1
2
5
10
50 100 150 200 250 300 350
cχ
mχ [GeV]
VBF
Mono-jet
Mono-Z
0.1
0.2
0.5
1
2
5
10
50 100 150 200 250 300 350
cχ
mχ [GeV]
0.1
0.2
0.5
1
2
5
10
50 100 150 200 250 300 350
cχ
mχ [GeV]
0.1
0.2
0.5
1
2
5
10
50 100 150 200 250 300 350
cχ
mχ [GeV]
0.1
0.2
0.5
1
2
5
10
50 100 150 200 250 300 350
cχ
mχ [GeV]
Ωh2
= 0.01
0.001
10-4
10-5
10-6
10-7
10-8
Limits
for
the
Heavy
Higgs-­‐portal
WIMPs
20
Vector
However,
this
direct
search
Limit
is
very
sensi5ve
to
the
halo
WIMP
density…
halo
WIMP
halo
DM
= 0.1
relic
WIMP
relic
DM
LUX
95%
(2013)

21. 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
cχ
mχ [GeV]
VBF
Mono-jet
Mono-Z
0.1
0.2
0.5
1
2
5
10
50 100 150 200 250 300 350
cχ
mχ [GeV]
0.1
0.2
0.5
1
2
5
10
50 100 150 200 250 300 350
cχ
mχ [GeV]
0.1
0.2
0.5
1
2
5
10
50 100 150 200 250 300 350
cχ
mχ [GeV]
0.1
0.2
0.5
1
2
5
10
50 100 150 200 250 300 350
cχ
mχ [GeV]
Ωh2
= 0.01
0.001
10-4
10-5
10-6
10-7
10-8
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.

22. Limits
for
the
Heavy
Higgs-­‐portal
WIMPs
22
S =
c2
Sv2
8 mH
1
4m2
S
m2
H
B =
c2
Bv2
4 mH
m4
H 4m2
Hm2
B + 6m4
B
m4
B
1
4m2
B
m2
H
V =
c2
V v2
32 mH
m4
H 4m2
Hm2
V + 12m4
V
m4
V
1
4m2
V
m2
H
0.1
0.2
0.5
1
2
5
10
50 100 150 200 250 300 350
cχ
mχ
[GeV]
VBF
Mono-jet
Mono-Z
0.1
0.2
0.5
1
2
5
10
50 100 150 200 250 300 350
cχ
mχ
[GeV]
0.1
0.2
0.5
1
2
5
10
50 100 150 200 250 300 350
cχ
mχ
[GeV]
0.1
0.2
0.5
1
2
5
10
50 100 150 200 250 300 350
cχ
mχ
[GeV]
0.1
0.2
0.5
1
2
5
10
50 100 150 200 250 300 350
cχ
mχ
[GeV]
Ωh
2
= 0.01
0.001
10-4
10-5
10
-6
10-7
Tensor
0.1
0.2
0.5
1
2
5
10
50 100 150 200 250 300 350
cχ
mχ [GeV]
VBF
Mono-jet
Mono-Z
0.1
0.2
0.5
1
2
5
10
50 100 150 200 250 300 350
cχ
mχ [GeV]
0.1
0.2
0.5
1
2
5
10
50 100 150 200 250 300 350
cχ
mχ [GeV]
0.1
0.2
0.5
1
2
5
10
50 100 150 200 250 300 350
cχ
mχ [GeV]
0.1
0.2
0.5
1
2
5
10
50 100 150 200 250 300 350
cχ
mχ [GeV]
Ωh2
= 0.01
0.001
10-4
10-5
10-6
10-7
10-8
Vector
0.1
0.2
0.5
1
2
5
10
50 100 150 200 250 300 350
cχ
mχ
[GeV]
VBF
Mono-jet
Mono-Z
0.1
0.2
0.5
1
2
5
10
50 100 150 200 250 300 350
cχ
mχ
[GeV]
0.1
0.2
0.5
1
2
5
10
50 100 150 200 250 300 350
cχ
mχ
[GeV]
0.1
0.2
0.5
1
2
5
10
50 100 150 200 250 300 350
cχ
mχ
[GeV]
Ωh2
= 0.01
0.001
10-4
10
-5
10-6
10-7
10-8
Scalar
LUX
LUX
LUX

23. 14
TeV
LHC
prospects
23

24. How
to
perform
(rough)
projecIon
24
We
need
to
know
and
to
es5mate
the
14
TeV
constraints
on
.
Nlim
sig
cc2
(m ) <
Nlim
sig
(m , c = 1)L
is
roughly
es5mated
with
the
following
assump5ons:
Nlim
sig
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
BG
N14TeV
BG
stat
NBG 8TeV
Nlim
sig 2 tot
tot = 2
sys + 2
stat
sys
NBG 14TeV
=
sys
NBG 8TeV

25. 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
d˜s
2
H(˜s) (˜s)
2 ˜s
(˜s m2
H)2 + 2
Hm2
H
If
this
level
of
improvement
holds
for
any
mH,
the
Upper
bound
on
improves
by
a
factor
of
4.
Profile-­‐based
Cut-­‐based

26. 0.1
0.2
0.5
1
2
5
10
50 100 150 200 250 300 350
cχ
mχ [GeV]
VBF
Mono-jet
Mono-Z
0.1
0.2
0.5
1
2
5
10
50 100 150 200 250 300 350
cχ
mχ [GeV]
0.1
0.2
0.5
1
2
5
10
50 100 150 200 250 300 350
cχ
mχ [GeV]
0.1
0.2
0.5
1
2
5
10
50 100 150 200 250 300 350
cχ
mχ [GeV]
0.1
0.2
0.5
1
2
5
10
50 100 150 200 250 300 350
cχ
mχ [GeV]
Ωh2
= 0.01
0.001
10
-4
10-5
10-6
10
-7
26
14TeV
LHC
SensiIvity
(Tensor)
8TeV
0.1
0.2
0.5
1
2
5
10
50 100 150 200 250 300 350
cχ
mχ
[GeV]
VBF
0.1
0.2
0.5
1
2
5
10
50 100 150 200 250 300 350
cχ
mχ
[GeV]
0.1
0.2
0.5
1
2
5
10
50 100 150 200 250 300 350
cχ
mχ
[GeV]
Mono-jet
Mono-Z
0.1
0.2
0.5
1
2
5
10
50 100 150 200 250 300 350
cχ
mχ
[GeV]
0.1
0.2
0.5
1
2
5
10
50 100 150 200 250 300 350
cχ
mχ
[GeV]
Ωh
2
= 0.01
0.001
10-4
10
-5
10
-6
10-714TeV
100
b^-­‐1
0.1
0.2
0.5
1
2
5
10
50 100 150 200 250 300 350
cχ
mχ
[GeV]
VBF
0.1
0.2
0.5
1
2
5
10
50 100 150 200 250 300 350
cχ
mχ
[GeV]
0.1
0.2
0.5
1
2
5
10
50 100 150 200 250 300 350
cχ
mχ
[GeV]
Mono-jet
Mono-Z
0.1
0.2
0.5
1
2
5
10
50 100 150 200 250 300 350
cχ
mχ
[GeV]
0.1
0.2
0.5
1
2
5
10
50 100 150 200 250 300 350
cχ
mχ
[GeV]
Ωh2
= 0.01
0.001
10-4
10
-5
10
-6
10-714TeV
100
b^-­‐1
XENON1T
90%CL
(2017)
0.1
0.2
0.5
1
2
5
10
50 100 150 200 250 300 350
cχ
mχ
[GeV]
VBF
Mono-jet
Mono-Z
0.1
0.2
0.5
1
2
5
10
50 100 150 200 250 300 350
cχ
mχ
[GeV]
0.1
0.2
0.5
1
2
5
10
50 100 150 200 250 300 350
cχ
mχ
[GeV]
0.1
0.2
0.5
1
2
5
10
50 100 150 200 250 300 350
cχ
mχ
[GeV]
0.1
0.2
0.5
1
2
5
10
50 100 150 200 250 300 350
cχ
mχ
[GeV]
Ωh2
= 0.01
0.001
10-4
10-5
10
-6
10-7
LUX
95%CL
(2013)
8TeV

27. 0.1
0.2
0.5
1
2
5
10
50 100 150 200 250 300 350
cχ
mχ [GeV]
VBF
Mono-jet
Mono-Z
0.1
0.2
0.5
1
2
5
10
50 100 150 200 250 300 350
cχ
mχ [GeV]
0.1
0.2
0.5
1
2
5
10
50 100 150 200 250 300 350
cχ
mχ [GeV]
0.1
0.2
0.5
1
2
5
10
50 100 150 200 250 300 350
cχ
mχ [GeV]
0.1
0.2
0.5
1
2
5
10
50 100 150 200 250 300 350
cχ
mχ [GeV]
Ωh2
= 0.01
0.001
10-4
10-5
10-6
10-7
10-8
27
14TeV
LHC
SensiIvity
(Vector)
8TeV
0.1
0.2
0.5
1
2
5
10
50 100 150 200 250 300 350
cχ
mχ
[GeV]
VBF
0.1
0.2
0.5
1
2
5
10
50 100 150 200 250 300 350
cχ
mχ
[GeV]
Mono-jet
Mono-Z
0.1
0.2
0.5
1
2
5
10
50 100 150 200 250 300 350
cχ
mχ
[GeV]
0.1
0.2
0.5
1
2
5
10
50 100 150 200 250 300 350
cχ
mχ
[GeV]
0.1
0.2
0.5
1
2
5
10
50 100 150 200 250 300 350
cχ
mχ
[GeV]
Ωh
2
= 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
cχ
mχ
[GeV]
VBF
0.1
0.2
0.5
1
2
5
10
50 100 150 200 250 300 350
cχ
mχ
[GeV]
Mono-jet
Mono-Z
0.1
0.2
0.5
1
2
5
10
50 100 150 200 250 300 350
cχ
mχ
[GeV]
0.1
0.2
0.5
1
2
5
10
50 100 150 200 250 300 350
cχ
mχ
[GeV]
0.1
0.2
0.5
1
2
5
10
50 100 150 200 250 300 350
cχ
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
cχ
mχ
[GeV]
VBF
Mono-jet
Mono-Z
0.1
0.2
0.5
1
2
5
10
50 100 150 200 250 300 350
cχ
mχ
[GeV]
0.1
0.2
0.5
1
2
5
10
50 100 150 200 250 300 350
cχ
mχ
[GeV]
0.1
0.2
0.5
1
2
5
10
50 100 150 200 250 300 350
cχ
mχ
[GeV]
0.1
0.2
0.5
1
2
5
10
50 100 150 200 250 300 350
cχ
mχ
[GeV]
Ωh
2
= 0.01
0.001
10-4
10-5
10-6
10-7
10-8
LUX
8TeV

28. 0.1
0.2
0.5
1
2
5
10
50 100 150 200 250 300 350
cχ
mχ [GeV]
VBF
Mono-jet
Mono-Z
0.1
0.2
0.5
1
2
5
10
50 100 150 200 250 300 350
cχ
mχ [GeV]
0.1
0.2
0.5
1
2
5
10
50 100 150 200 250 300 350
cχ
mχ [GeV]
0.1
0.2
0.5
1
2
5
10
50 100 150 200 250 300 350
cχ
mχ [GeV]
Ωh
2
= 0.01
0.001
10-4
10
-5
10-6
10
-7
10-8
28
14TeV
LHC
SensiIvity
(Scalar)
8TeV
0.1
0.2
0.5
1
2
5
10
50 100 150 200 250 300 350
cχ
mχ
[GeV]
VBF
0.1
0.2
0.5
1
2
5
10
50 100 150 200 250 300 350
cχ
mχ
[GeV]
Mono-jet
Mono-Z
0.1
0.2
0.5
1
2
5
10
50 100 150 200 250 300 350
cχ
mχ
[GeV]
0.1
0.2
0.5
1
2
5
10
50 100 150 200 250 300 350
cχ
mχ
[GeV]
0.1
0.2
0.5
1
2
5
10
50 100 150 200 250 300 350
cχ
mχ
[GeV]
Ωh
2
= 0.01
0.001
10
-4
10
-5
10
-6
10-7
10
-8
14TeV
100
b^-­‐1
0.1
0.2
0.5
1
2
5
10
50 100 150 200 250 300 350
cχ
mχ
[GeV]
VBF
0.1
0.2
0.5
1
2
5
10
50 100 150 200 250 300 350
cχ
mχ
[GeV]
Mono-jet
Mono-Z
0.1
0.2
0.5
1
2
5
10
50 100 150 200 250 300 350
cχ
mχ
[GeV]
0.1
0.2
0.5
1
2
5
10
50 100 150 200 250 300 350
cχ
mχ
[GeV]
0.1
0.2
0.5
1
2
5
10
50 100 150 200 250 300 350
cχ
mχ
[GeV]
Ωh2
= 0.01
0.001
10-4
10
-5
10-6
10-7
10-8
14TeV
100
b^-­‐1
XENON1T
0.1
0.2
0.5
1
2
5
10
50 100 150 200 250 300 350
cχ
mχ
[GeV]
VBF
Mono-jet
Mono-Z
0.1
0.2
0.5
1
2
5
10
50 100 150 200 250 300 350
cχ
mχ
[GeV]
0.1
0.2
0.5
1
2
5
10
50 100 150 200 250 300 350
cχ
mχ
[GeV]
0.1
0.2
0.5
1
2
5
10
50 100 150 200 250 300 350
cχ
mχ
[GeV]
Ωh2
= 0.01
0.001
10-4
10
-5
10-6
10-7
10-8
Scalar
LUX
8TeV

29. 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.