light scalar dark matter from double higgs portalbohdang/ustron_2015_grzadkowski.pdfhe and j....

Light scalar dark matter from double Higgs portal

Bohdan GrzadkowskiUniversity of Warsaw

Matter to the DeepestRecent Developments in Physics of Fundamental Interactions

XXXIX International Conference of Theoretical PhysicsSeptember 15th, 2015, Ustron, Poland

Bohdan Grzadkowski University of Warsaw Light scalar dark matter from double Higgs portal

Outline:2HDMS ModelMotivationsStrategyResulting Constraints on the parameter spaceDirect DM detection constraintsSummary

A. Drozd, B. G., J. F. Gunion and Y. Jiang, ”Extending two-Higgs-doublet models by a singlet scalar field - the Case forDark Matter”, JHEP 1411 (2014) 105, arXiv:1408.2106.

A. Drozd, B. G., J. F. Gunion and Y. Jiang, ”Light Higgs portal DM and the role of isospin violation”, in progress


2HDMS model2HDMS - Yukawa Interactions

Type I (only H2 couples to fermions)Type II (H2 couples to up-type fermions, H1 other)

Symmetry: Z2 : H1 → −H1, other scalar fields Z2-evenZ ′2 : S → −S, other fields Z ′2-even

V =m211H†1H1 + m2

22H†2H2 −[m2

12H†1H2 + h.c.]

+λ1

2

(H†1H1

)2+λ2

2

(H†2H2

)2

+ λ3

(H†1H1

)(H†2H2

)+ λ4

(H†1H2

)(H†2H1

)+

λ5

2

(H†1H2

)2+ h.c.

+

m20

2S2 +

λS

4!S4 + κ1S2

(H†1H1

)+ κ2S2

(H†2H2

)EWSB: Z ′2 unbroken→ NO VEV FOR S→ NO MIXING WITH H1,2

H1,2 =

(ϕ+

1,2

(v1,2 + ρ1,2 + iη1,2)/√

2

)tanβ ≡ v2

v1, v2

1 + v22 = (246 GeV )2


2HDMS modelLiterature

X.-G. He, T. Li, X.-Q. Li, J. Tandean and H.-C. Tsai, Constraints on scalar dark matter from direct experimental searches,Phys. Rev. D 79 (2009) 023521 [arXiv:0811.0658].

B. G. and P. Osland, Tempered two-Higgs-doublet model, Phys. Rev. D 82 (2010) 125026 [arXiv:0910.4068].

A. Badin and A. A. Petrov, Searching for light Dark Matter in heavy meson decays, Phys. Rev. D 82 (2010) 034005[arXiv:1005.1277 [hep-ph]].

M.S. Boucenna and S. Profumo, Direct and indirect singlet scalar dark matter detection in the lepton-specifictwo-Higgs-doublet model, Phys. Rev. D 84 (2011) 055011 [arXiv:1106.3368].

X.-G. He, B. Ren and J. Tandean, Hints of standard model Higgs boson at the LHC and light dark matter searches, Phys.Rev. D 85 (2012) 093019 [arXiv:1112.6364].

Y. Bai, V. Barger, L.L. Everett and G. Shaughnessy, Two-Higgs-doublet-portal dark-matter model: LHC data andFermi-LAT 135 GeV line, Phys. Rev. D 88 (2013) 015008 [arXiv:1212.5604].

X.-G. He and J. Tandean, Low-mass dark-matter hint from CDMS II, Higgs boson at the LHC and darkon models, Phys.Rev. D 88 (2013) 013020 [arXiv:1304.6058].

Y. Cai and T. Li, Singlet dark matter in a type-II two Higgs doublet model, Phys. Rev. D 88 (2013) 115004[arXiv:1308.5346].

L. Wang, A simplified 2HDM with a scalar dark matter and the galactic center gamma-ray excess, arXiv:1406.3598.

C.-Y. Chen, M. Freid and M. Sher, The next-to-minimal two Higgs doublet model, Phys. Rev. D 89 (2014) 075009[arXiv:1312.3949].

A. Drozd, B. G., J. F. Gunion and Y. Jiang, Extending two-Higgs-doublet models by a singlet scalar field - the Case forDark Matter, JHEP 1411 (2014) 105, [arXiv:1408.2106].


Motivations

2HDMSAn attempt to provide both extra CP violation and DM candidate -2HDMS minimal model,2HDM provides an interesting ”low-mass” new physics accessibleat the LHC,Chance for MDM < mh/2


Motivations

Γ(h→ SS) ∝ λ2x for V (H,S) = · · ·+ λxH†HS2

A. Drozd, B.G. and J. Wudka, ”Multi-scalar-singlet extension of the Standard Model - the case for dark matter and an invisible

higgs boson”, JHEP 1204 (2012) 006, arXiv:1112.2582


Strategy

5 mass eigenstates: h,H,A,H±,S

VS =12

m2SS2 + λhvhS2 + λHvHS2 + · · ·

10 parameters in the potential, various basis possible

General Basis:λ1, λ2, λ3, λ4, λ5m2

12, tanβmS, κ1, κ2

Physical Basis:mh,mH ,mA,mH± , sinαm2

12, tanβmS, λh, λH

2 types of Yukawa interactionType I and II Type I Type II

Higgs CV CU CD CU CDh sin(β − α) cosα/ sin β cosα/ sin β cosα/ sin β −sinα/ cos βH cos(β − α) sinα/ sin β sinα/ sin β sinα/ sin β cosα/ cos βA 0 cot β − cot β cot β tan β


StrategyB. Dumont, J. F. Gunion, Y. Jiang and S. Kraml, ”Constraints on and future prospects for Two-Higgs-Doublet Models in light of theLHC Higgs signal”, Phys. Rev. D 90, 035021 (2014), arXiv:1405.3584

theoretical constraints: perturbativity, vacuum stability, perturbativeunitarityexperimental constraints

B/LEP limits H+, e.g. from b → sγ one finds mH± > 510 GeV at95%CLS,T,ULHC fit at 68% CL

0.5

5

50

1

10

-1 -0.8 -0.6 -0.4 -0.2 0 0.2 0.4 0.6

tan

β

sinα

postLHC8 95%C.L.postLHC8 68%C.L.

postLHC8 68%C.L.-selected

TYPE I

0.5

5

50

1

10

-1 -0.8 -0.6 -0.4 -0.2 0 0.2 0.4

tan

β

sinα

postLHC8 95%C.L.postLHC8 68%C.L.

postLHC8 68%C.L.-selected

TYPE II


Strategy

2HDMTake good 2HDM points

Scalar Singlet parameter scan:

mS ∈ [1 GeV, 1 TeV],λh, λH ∈ [-4π,4π],theoretical constraints: perturbativity, vacuum stability, perturbativeunitarity, EWSB (〈S〉 = 0),BR(h→ SS) < 10%,WMAP/Planck,direct DM detection.


Strategy

Calculation of DM relic abundance Ω:

MicrOmegas by G. Belanger, F. Boudjema, A. Pukhov, A. Semenov, Comput.Phys.Commun. 180 (2009) 747-767, arXiv:0803.2360

ΩWMAP/Planck = 0.1187± 0.0017


Resulting Constraints on the parameter space

# tan β sinα m212 mh mH mA mH±

I-1 1.586 −0.587 +5621 123.71 534.25 645.13 549.25I-2 1.346 −0.663 −2236 126.49 168.01 560.92 556.94

h fits LHC data,

small λh required by BR(h→ SS) < 10%,

substantial λH needed for ΩDM ,

mH can not be too large.


Direct DM detection constraints



TYPE II - isospin violation

σDM−N =4µ2

ZA

πf 2p

[Z +

fnfp

(A− Z )

]2

BR(h→ SS) ≤ 0.1⇒ λh < 0.015

fnfp

=mn

mp

∑q

[(λhm2

hCh

q + λHm2

HCH

q

)f qn

]∑

q

[(λhm2

hCh

q + λHm2

HCH

q

)f qp

] −→ mn

mp

∑q CH

q f qn∑

q CHq f q

p(S − indep.)

Table: Yukawa couplings of up and down type quarks tolight and heavy Higgs bosons h,H in Type I/II models. TheYukawa Lagrangian is normalised as follows:LYukawa =

mqv Ch

q qqh +mqv CH

q qqH

Type I Type IICh

U cosα/ sinβ cosα/ sinβCh

U cosα/ sinβ − sinα/ cosβCH

U sinα/ sinβ sinα/ sinβCH

D sinα/ sinβ cosα/ cosβ



TYPE II - isospin violation

σDM−N =4µ2

ZA

πf 2p A2

[ZA

+fnfp

(1− Z

A

)]2

σEXPDM−p ≥ σ

THEODM−p Θ(fn, fp)

Θ(fn, fp) =

[ZA

+fnfp

(1− Z

A

)]2

J. L. Feng, J. Kumar, D. Marfatia and D. Sanford, ”Isospin-Violating Dark Matter”’, Phys. Lett. B 703, 124 (2011) [arXiv:1102.4331]



Type II, mh ' 125 GeV and λh ' 0



Type II, mH ' 125 GeV and λH ' 0


Conclusions

2HDM is allowed by current collider limits, even in thenon-decoupling regime2HDMS provides a viable DM candidate and an opportunity forextra CP-violationΩDMh2 and LUX requirements are met for mDM ∼<50 GeV withinthe Type II 2HDMS if

h(H) is the state observed at the LHCλh(λH) 1 then BR[h(H)→ SS] 1H,h responsible for DM annihilation with λH(λh) ∼ 1LUX limit satisfied by isospin violation: fn/fp < 1 (or by resonance inthe case of mH = 125 GeV)

LHC prospects for the Type II 2HDMS with isospin violation:H(h) invisible, as BR(H → SS) ∼ 1 or BR(h→ SS) ∼ 1(tanβ, sinα) fixed (h(H) Yukawa’s SM like)mH± ∼>510 GeVA and H± interactions have to be investigated



mh ' 125 GeV λh ' 0

-0.80

-0.57

-0.34

-0.11

0.11

0.34

0.57

0.80

fn/fp

-0.85 -0.80 -0.75 -0.70 -0.65 -0.600.6

0.7

0.8

0.9

1.0

1.1

1.2

1.3

sinα

tan

TYPE II SUP+EW+Ω OK


Theoretical constraints - Vacuum stability

2HDM Tree Level Vacuum Stability Constraintsλ1, λ2 > 0λ3 > −

√λ1λ2

λ3 + λ4 − |λ5| > −√λ1λ2

λ3 > −√λ1λ2

Scalar Singlet Tree Level Vacuum Stability ConstraintsλS > 0

κ1 > −√

112λ1λS

κ2 > −√

112λ2λS

if κ1 < 0 or κ2 < 0 then−2κ1κ2 + 1

6λSλ3 > −√

4( 112λ1λS − κ2

1)( 112λ2λS − κ2

2)

−2κ1κ2 + 16λS(λ3 + λ4 − |λ5|) > −

√4( 1

12λ1λS − κ21)( 1

12λ2λS − κ22)


light scalar dark matter from double higgs portalbohdang/ustron_2015_grzadkowski.pdfhe and j....

Documents