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Fermionic dark matter via Higgs portal Laura Lopez Honorez based on - - PowerPoint PPT Presentation

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Fermionic dark matter via Higgs portal Laura Lopez Honorez based on arXiv:1203.2064 in collaboration with Thomas Schwetz and Jure Zupan GGI workshop - Firenze Laura Lopez Honorez (MPIK-Hd) Fermionic DM via Higgs portal June 2012 1 / 17

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Fermionic dark matter via Higgs portal

Laura Lopez Honorez

based on arXiv:1203.2064 in collaboration with Thomas Schwetz and Jure Zupan

GGI workshop - Firenze

Laura Lopez Honorez (MPIK-Hd) Fermionic DM via Higgs portal June 2012 1 / 17

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SLIDE 2

Introduction

galaxy The Quest to determine the Composition of our Universe

Laura Lopez Honorez (MPIK-Hd) Fermionic DM via Higgs portal June 2012 2 / 17

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SLIDE 3

Introduction

galaxy

Dark matter

The Quest to determine the Composition of our Universe

Laura Lopez Honorez (MPIK-Hd) Fermionic DM via Higgs portal June 2012 2 / 17

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Introduction

SDSS galaxy map

Large Scale Structures (LSS) galaxy CMB anisotropies

Dark matter

The Quest to determine the Composition of our Universe

Laura Lopez Honorez (MPIK-Hd) Fermionic DM via Higgs portal June 2012 2 / 17

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Introduction

SN1994D et galaxie NGC 4526 SDSS galaxy map

SNIa Large Scale Structures (LSS) galaxy Accelerated expansion CMB anisotropies

Dark matter Dark Energy

The Quest to determine the Composition of our Universe

Laura Lopez Honorez (MPIK-Hd) Fermionic DM via Higgs portal June 2012 2 / 17

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Introduction

Percival et al 2010 SDSS WMAP7, Larson et al 2010 Pelmutter 2003

Laura Lopez Honorez (MPIK-Hd) Fermionic DM via Higgs portal June 2012 3 / 17

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Introduction

Pelmutter 2003 WMAP7, Larson et al 2010 SDSS

Concordance for a flat Universe today made of ~ 70% of dark energy as a Cosmo. Cst. ~ 30% of matter

Eisenstein et al 2005 Amanullah 2011

Laura Lopez Honorez (MPIK-Hd) Fermionic DM via Higgs portal June 2012 3 / 17

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SLIDE 8

Introduction . . . Laura Lopez Honorez (MPIK-Hd) Fermionic DM via Higgs portal June 2012 4 / 17

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Introduction .

In this TALK!

from DM detection Expe. Higgs portal − fermionic DM Model Viable param. space + Constraints

. . Laura Lopez Honorez (MPIK-Hd) Fermionic DM via Higgs portal June 2012 4 / 17

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Introduction

Higgs portal

Typically (H†H)- dark sector operators drive the SM-DM interactions

[ Patt-Wilczeck ’06] Laura Lopez Honorez (MPIK-Hd) Fermionic DM via Higgs portal June 2012 5 / 17

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Introduction

Higgs portal

Typically (H†H)- dark sector operators drive the SM-DM interactions

[ Patt-Wilczeck ’06]

Several extensions of the Standard model have been recently revisited with DM=singlet scalar S, vector V, fermion χ [ Djouadi et al ’11, ’12]

Laura Lopez Honorez (MPIK-Hd) Fermionic DM via Higgs portal June 2012 5 / 17

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Introduction

Higgs portal

Typically (H†H)- dark sector operators drive the SM-DM interactions

[ Patt-Wilczeck ’06]

Several extensions of the Standard model have been recently revisited with DM=singlet scalar S, vector V, fermion χ [ Djouadi et al ’11, ’12] DM stability : Z2 symmetry

Laura Lopez Honorez (MPIK-Hd) Fermionic DM via Higgs portal June 2012 5 / 17

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Introduction

Higgs portal

Typically (H†H)- dark sector operators drive the SM-DM interactions

[ Patt-Wilczeck ’06]

Several extensions of the Standard model have been recently revisited with DM=singlet scalar S, vector V, fermion χ [ Djouadi et al ’11, ’12] DM stability : Z2 symmetry Higgs-DM interactions : L ⊃ λSS2(H†H) λVVµVµ(H†H) λχ Λ ¯ χχ(H†H)

Laura Lopez Honorez (MPIK-Hd) Fermionic DM via Higgs portal June 2012 5 / 17

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Introduction

Higgs portal

Typically (H†H)- dark sector operators drive the SM-DM interactions

[ Patt-Wilczeck ’06]

Several extensions of the Standard model have been recently revisited with DM=singlet scalar S, vector V, fermion χ [ Djouadi et al ’11, ’12] DM stability : Z2 symmetry Higgs-DM interactions : L ⊃ λSS2(H†H) λVVµVµ(H†H) λχ Λ ¯ χχ(H†H)

Laura Lopez Honorez (MPIK-Hd) Fermionic DM via Higgs portal June 2012 5 / 17

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Introduction

Direct detection : a serious threat for Higgs portal DM

Results from 100 Live Days of XENON100 Data

  • E. Aprile et al PRD ’11

Laura Lopez Honorez (MPIK-Hd) Fermionic DM via Higgs portal June 2012 6 / 17

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Introduction

Direct detection : a serious threat for Higgs portal DM

Results from 100 Live Days of XENON100 Data

  • E. Aprile et al PRD ’11

Relevant process for elastic scattering :

σel ∝

  • λDMm2

red

M2

h

2

with mred = mpmDM/(mp + mDM)

Laura Lopez Honorez (MPIK-Hd) Fermionic DM via Higgs portal June 2012 6 / 17

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Introduction

Direct detection : a serious threat for Higgs portal DM

for Mh = 125 GeV Relevant process for elastic scattering :

σel ∝

  • λDMm2

red

M2

h

2

with mred = mpmDM/(mp + mDM) For e.g. Mh ∼ 125 GeV [ Djouadi et al ’11] Scalar, Vector DM ruled out for mDM 80GeV except for small resonant region mDM ∼ 62 GeV and λDM ≪1

Laura Lopez Honorez (MPIK-Hd) Fermionic DM via Higgs portal June 2012 6 / 17

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SLIDE 18

Introduction

Direct detection : a serious threat for Higgs portal DM

for Mh = 125 GeV Relevant process for elastic scattering :

σel ∝

  • λDMm2

red

M2

h

2

with mred = mpmDM/(mp + mDM) For e.g. Mh ∼ 125 GeV [ Djouadi et al ’11] Scalar, Vector DM ruled out for mDM 80GeV Fermionic DM ruled out for mDM up to TeV scale except for small resonant region mDM ∼ 62 GeV and λDM ≪1

Laura Lopez Honorez (MPIK-Hd) Fermionic DM via Higgs portal June 2012 6 / 17

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Introduction

Higgs Portal Fermionic DM

We will see that Higgs Portal fermionic DM below the TeV range can be obtained :

[LLH, Schwetz & Zupan ’12]

In an Effective Field Theory (EFT) : “The pseudo Higgs portal” see also [Pospelov& Ritz ’11] Two types of dim-5 operators considered : Heff =

1 Λ1 Q1 + 1 Λ5 Q5

Q1 = (H†H)(¯ χχ) , Q5 = i(H†H)(¯ χγ5χ) ,

Laura Lopez Honorez (MPIK-Hd) Fermionic DM via Higgs portal June 2012 7 / 17

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Introduction

Higgs Portal Fermionic DM

We will see that Higgs Portal fermionic DM below the TeV range can be obtained :

[LLH, Schwetz & Zupan ’12]

In an Effective Field Theory (EFT) : “The pseudo Higgs portal” see also [Pospelov& Ritz ’11] Two types of dim-5 operators considered : Heff =

1 Λ1 Q1 + 1 Λ5 Q5

Q1 = (H†H)(¯ χχ) , Q5 = i(H†H)(¯ χγ5χ) , When EFT breaks down : two other options in the scalar interaction case.

Laura Lopez Honorez (MPIK-Hd) Fermionic DM via Higgs portal June 2012 7 / 17

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Introduction

Higgs Portal Fermionic DM

We will see that Higgs Portal fermionic DM below the TeV range can be obtained :

[LLH, Schwetz & Zupan ’12]

In an Effective Field Theory (EFT) : “The pseudo Higgs portal” see also [Pospelov& Ritz ’11] Two types of dim-5 operators considered : Heff =

1 Λ1 Q1 + 1 Λ5 Q5

Q1 = (H†H)(¯ χχ) , Q5 = i(H†H)(¯ χγ5χ) , When EFT breaks down : two other options in the scalar interaction case. “Resonnant Higgs portal” : driven by resonnant annihilation into H or another mediator

Laura Lopez Honorez (MPIK-Hd) Fermionic DM via Higgs portal June 2012 7 / 17

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Introduction

Higgs Portal Fermionic DM

We will see that Higgs Portal fermionic DM below the TeV range can be obtained :

[LLH, Schwetz & Zupan ’12]

In an Effective Field Theory (EFT) : “The pseudo Higgs portal” see also [Pospelov& Ritz ’11] Two types of dim-5 operators considered : Heff =

1 Λ1 Q1 + 1 Λ5 Q5

Q1 = (H†H)(¯ χχ) , Q5 = i(H†H)(¯ χγ5χ) , When EFT breaks down : two other options in the scalar interaction case. “Resonnant Higgs portal” : driven by resonnant annihilation into H or another mediator “Indirect Higgs portal” : driven by annihilation into a low mass mediator ≡ secluded DM [Pospelov ’07]

Laura Lopez Honorez (MPIK-Hd) Fermionic DM via Higgs portal June 2012 7 / 17

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EFT Higgs-Portal

EFT Higgs-Portal

Laura Lopez Honorez (MPIK-Hd) Fermionic DM via Higgs portal June 2012 8 / 17

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EFT Higgs-Portal

EFT Higgs-Portal

Heff = 1 Λ1 Q1 + 1 Λ5 Q5 with Q1 = (H†H)(¯ χχ) and Q5 = i(H†H)(¯ χγ5χ) , Annihilation : χχ → SM SM σannv = f(mχ) 4π × v2 Λ2

1

  • r

1 Λ2

5

Laura Lopez Honorez (MPIK-Hd) Fermionic DM via Higgs portal June 2012 9 / 17

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EFT Higgs-Portal

EFT Higgs-Portal

Heff = 1 Λ1 Q1 + 1 Λ5 Q5 with Q1 = (H†H)(¯ χχ) and Q5 = i(H†H)(¯ χγ5χ) , Annihilation : χχ → SM SM σannv = f(mχ) 4π × v2 Λ2

1

  • r

1 Λ2

5

annihilation through parity conserving interactions is velocity suppressed.

Laura Lopez Honorez (MPIK-Hd) Fermionic DM via Higgs portal June 2012 9 / 17

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EFT Higgs-Portal

EFT Higgs-Portal

Heff = 1 Λ1 Q1 + 1 Λ5 Q5 with Q1 = (H†H)(¯ χχ) and Q5 = i(H†H)(¯ χγ5χ) , Annihilation : χχ → SM SM σannv = f(mχ) 4π × v2 Λ2

1

  • r

1 Λ2

5

annihilation through parity conserving interactions is velocity suppressed. Elastic scattering : χp → χp σp = 4 π (mpfp)2 mred m2

h

2 × 1 Λ2

1

  • r

2 v2 Λ2

5

Laura Lopez Honorez (MPIK-Hd) Fermionic DM via Higgs portal June 2012 9 / 17

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EFT Higgs-Portal

EFT Higgs-Portal

Heff = 1 Λ1 Q1 + 1 Λ5 Q5 with Q1 = (H†H)(¯ χχ) and Q5 = i(H†H)(¯ χγ5χ) , Annihilation : χχ → SM SM σannv = f(mχ) 4π × v2 Λ2

1

  • r

1 Λ2

5

annihilation through parity conserving interactions is velocity suppressed. Elastic scattering : χp → χp σp = 4 π (mpfp)2 mred m2

h

2 × 1 Λ2

1

  • r

2 v2 Λ2

5

scattering through parity violating interactions is velocity suppressed.

Laura Lopez Honorez (MPIK-Hd) Fermionic DM via Higgs portal June 2012 9 / 17

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EFT Higgs-Portal

“Pseudo” Higgs-Portal

For Mh = 125 GeV and Ωχ = ΩWMAP Except for the resonant region : In the parity conserving case : mχ 2 TeV [ Djouadi et al ’11]

Laura Lopez Honorez (MPIK-Hd) Fermionic DM via Higgs portal June 2012 10 / 17

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EFT Higgs-Portal

“Pseudo” Higgs-Portal

For Mh = 125 GeV and Ωχ = ΩWMAP Except for the resonant region : In the parity conserving case : mχ 2 TeV [ Djouadi et al ’11] For Λ1/Λ5 ∼ 1 : mχ 100 GeV is allowed

Laura Lopez Honorez (MPIK-Hd) Fermionic DM via Higgs portal June 2012 10 / 17

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EFT Higgs-Portal

“Pseudo” Higgs-Portal

For Mh = 125 GeV and Ωχ = ΩWMAP Except for the resonant region : In the parity conserving case : mχ 2 TeV [ Djouadi et al ’11] For Λ1/Λ5 ∼ 1 : mχ 100 GeV is allowed

Laura Lopez Honorez (MPIK-Hd) Fermionic DM via Higgs portal June 2012 10 / 17

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EFT Higgs-Portal

“Pseudo” Higgs-Portal

For Mh = 125 GeV and Ωχ = ΩWMAP Except for the resonant region : In the parity conserving case : mχ 2 TeV [ Djouadi et al ’11] For Λ1/Λ5 ∼ 1 : mχ 100 GeV is allowed In the framework of EFT, Higgs portal fermionic DM is viable below the TeV range including parity violating interaction

Laura Lopez Honorez (MPIK-Hd) Fermionic DM via Higgs portal June 2012 10 / 17

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Beyond EFT

Beyond EFT

Laura Lopez Honorez (MPIK-Hd) Fermionic DM via Higgs portal June 2012 11 / 17

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Beyond EFT

Toy Model embedding the EFT

Toy model ingredients SM with a Higgs doublet H 1/ √ 2(h + v1) + fermionic DM χ + extra real singlet scalar mediator ϕ = φ + v2 with :

Laura Lopez Honorez (MPIK-Hd) Fermionic DM via Higgs portal June 2012 12 / 17

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Beyond EFT

Toy Model embedding the EFT

Toy model ingredients SM with a Higgs doublet H 1/ √ 2(h + v1) + fermionic DM χ + extra real singlet scalar mediator ϕ = φ + v2 with : L ⊃ −1 2 ¯ χ(µχ + gϕ)Lχ + h.c.

Laura Lopez Honorez (MPIK-Hd) Fermionic DM via Higgs portal June 2012 12 / 17

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Beyond EFT

Toy Model embedding the EFT

Toy model ingredients SM with a Higgs doublet H 1/ √ 2(h + v1) + fermionic DM χ + extra real singlet scalar mediator ϕ = φ + v2 with : L ⊃ −1 2 ¯ χ(µχ + gϕ)Lχ + h.c.

  • −1

2 (mχ ¯ χχ + gSφ¯ χχ + igPφ¯ χγ5χ)

mχ = |µχ + gv2| , gS = Re(ge−iβ) and gP = Im(ge−iβ) with β = Arg(µχ + gv2) Laura Lopez Honorez (MPIK-Hd) Fermionic DM via Higgs portal June 2012 12 / 17

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Beyond EFT

Toy Model embedding the EFT

Toy model ingredients SM with a Higgs doublet H 1/ √ 2(h + v1) + fermionic DM χ + extra real singlet scalar mediator ϕ = φ + v2 with : L ⊃ −1 2 ¯ χ(µχ + gϕ)Lχ + h.c.

  • −1

2 (mχ ¯ χχ + gSφ¯ χχ + igPφ¯ χγ5χ)

mχ = |µχ + gv2| , gS = Re(ge−iβ) and gP = Im(ge−iβ) with β = Arg(µχ + gv2)

V(ϕ, H) = −µ2

HH†H + λH(H†H)2 − µ2 ϕ

2 ϕ2 + λϕ 4 ϕ4 + λ4 2 ϕ2H†H + µ √ 2 ϕ(H†H)2

Laura Lopez Honorez (MPIK-Hd) Fermionic DM via Higgs portal June 2012 12 / 17

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Beyond EFT

Toy Model embedding the EFT

Toy model ingredients SM with a Higgs doublet H 1/ √ 2(h + v1) + fermionic DM χ + extra real singlet scalar mediator ϕ = φ + v2 with : L ⊃ −1 2 ¯ χ(µχ + gϕ)Lχ + h.c.

  • −1

2 (mχ ¯ χχ + gSφ¯ χχ + igPφ¯ χγ5χ)

mχ = |µχ + gv2| , gS = Re(ge−iβ) and gP = Im(ge−iβ) with β = Arg(µχ + gv2)

V(ϕ, H) = −µ2

HH†H + λH(H†H)2 − µ2 ϕ

2 ϕ2 + λϕ 4 ϕ4 + λ4 2 ϕ2H†H + µ √ 2 ϕ(H†H)2 Beyond EFT, we consider now gP = 0

Laura Lopez Honorez (MPIK-Hd) Fermionic DM via Higgs portal June 2012 12 / 17

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Beyond EFT

Toy Model embedding the EFT

Toy model ingredients SM with a Higgs doublet H 1/ √ 2(h + v1) + fermionic DM χ + extra real singlet scalar mediator ϕ = φ + v2 with : L ⊃ −1 2 ¯ χ(µχ + gϕ)Lχ + h.c.

  • −1

2 (mχ ¯ χχ + gSφ¯ χχ + igPφ¯ χγ5χ)

mχ = |µχ + gv2| , gS = Re(ge−iβ) and gP = Im(ge−iβ) with β = Arg(µχ + gv2)

V(ϕ, H) = −µ2

HH†H + λH(H†H)2 − µ2 ϕ

2 ϕ2 + λϕ 4 ϕ4 + λ4 2 ϕ2H†H + µ √ 2 ϕ(H†H)2 Beyond EFT, we consider now gP = 0 λ4 and µ h − φ mixing : physical states H1&H2 with α mixing. we consider the case α → 0 ≡ H1 ≃ h all ¯ χχ → SM SM processes have σ ∝ sin2(2α)

Laura Lopez Honorez (MPIK-Hd) Fermionic DM via Higgs portal June 2012 12 / 17

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Beyond EFT

Toy Model : DM signatures for scalar interactions

Direct detection of DM : σp ∝ g2

S sin2 2α m2 red

  • 1

m2

H1

− 1 m2

H2

2

Laura Lopez Honorez (MPIK-Hd) Fermionic DM via Higgs portal June 2012 13 / 17

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Beyond EFT

Toy Model : DM signatures for scalar interactions

Direct detection of DM : σp ∝ g2

S sin2 2α m2 red

  • 1

m2

H1

− 1 m2

H2

2 Colliders and Higgs searches :

Bounds on the production Higgs cross-section constrain : ri ≡ σHiBrHi→X σSM

Hi BrSM Hi→X

Laura Lopez Honorez (MPIK-Hd) Fermionic DM via Higgs portal June 2012 13 / 17

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Beyond EFT

Toy Model : DM signatures for scalar interactions

Direct detection of DM : σp ∝ g2

S sin2 2α m2 red

  • 1

m2

H1

− 1 m2

H2

2 Colliders and Higgs searches :

Bounds on the production Higgs cross-section constrain : ri ≡ σHiBrHi→X σSM

Hi BrSM Hi→X

mixing and invisible branchings can reduce the signal strength

[Beak ’11, Englert ’12] :

r1 = cos4 α ΓSM

H1

ΓH1 and r2 = sin4 α ΓSM

H2

ΓH2 We spot “SM Higgs-like” H1 as r1 > 0.9

Laura Lopez Honorez (MPIK-Hd) Fermionic DM via Higgs portal June 2012 13 / 17

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Beyond EFT

Example mH1 = 125 GeV and mH2 = 2 TeV

Constraints 0.09 < Ωχh2 < 0.13 potential bounded from below λφ, λH > 0 and λ4 > −2

  • λφλH

10−4 GeV ≤ |µ|, v2 ≤ 104 GeV, and 10−5 ≤ |λ4|, |gS| ≤ π

Laura Lopez Honorez (MPIK-Hd) Fermionic DM via Higgs portal June 2012 14 / 17

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Beyond EFT

Example mH1 = 125 GeV and mH2 = 2 TeV

Constraints 0.09 < Ωχh2 < 0.13 potential bounded from below λφ, λH > 0 and λ4 > −2

  • λφλH

10−4 GeV ≤ |µ|, v2 ≤ 104 GeV, and 10−5 ≤ |λ4|, |gS| ≤ π Viable fermionic DM for “scalar” Higgs portal at Higgs or mediator resonances : mχ ≈ mH1/2 or mH2/2 for mχ < mH2 : Ωχ mainly driven by α independent processes χχ → φφ while σp ∝ sin2(2α)

Laura Lopez Honorez (MPIK-Hd) Fermionic DM via Higgs portal June 2012 14 / 17

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Beyond EFT

Indirect Higgs portal

We see that for mH2 < mχ gSφ¯ χχ u- and t-channel annihilation channels σχχ→φφ =

3gS

4v

32πmχ2

gS fixed for a given mχ to comply with WMAP Scann over mH2

Laura Lopez Honorez (MPIK-Hd) Fermionic DM via Higgs portal June 2012 15 / 17

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SLIDE 45

Beyond EFT

Indirect Higgs portal

We see that for mH2 < mχ gSφ¯ χχ u- and t-channel annihilation channels σχχ→φφ =

3gS

4v

32πmχ2

gS fixed for a given mχ to comply with WMAP

λ4 2 ϕ2H†H + µ √ 2ϕ(H†H)2

provides a link between dark and visible thermal bath through φφ ↔ hh, φ ↔ hh, φφ ↔ h Scann over mH2

Laura Lopez Honorez (MPIK-Hd) Fermionic DM via Higgs portal June 2012 15 / 17

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SLIDE 46

Beyond EFT

Indirect Higgs portal

We see that for mH2 < mχ gSφ¯ χχ u- and t-channel annihilation channels σχχ→φφ =

3gS

4v

32πmχ2

gS fixed for a given mχ to comply with WMAP

λ4 2 ϕ2H†H + µ √ 2ϕ(H†H)2

provides a link between dark and visible thermal bath through φφ ↔ hh, φ ↔ hh, φφ ↔ h The Higgs portal acts indirectly large range of viable fermionic DM masses allowed for scalar type of interactions

Laura Lopez Honorez (MPIK-Hd) Fermionic DM via Higgs portal June 2012 15 / 17

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SLIDE 47

Conclusion

Conclusion

Viable Higgs Portal fermionic DM below the TeV range can be obtained :

[LLH, Schwetz & Zupan ’12]

In an Effective Field Theory (EFT) Two types of dim-5 operators have to be considered : Heff =

1 Λ1 Q1 + 1 Λ5 Q5

Q1 = (H†H)(¯ χχ) , Q5 = i(H†H)(¯ χγ5χ) , parity violating interactions have to be taken into account ≡ “Pseudo-Higgs portal”. When EFT breaks down : two other options for scalar interactions. Illustration in a toy model with H, χ and an extra scalar mediator φ “Resonnant Higgs portal” : driven by resonnant annihilation into H or the mediator “Indirect Higgs portal” : driven by annihilation into the extra mediator

Laura Lopez Honorez (MPIK-Hd) Fermionic DM via Higgs portal June 2012 16 / 17

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SLIDE 48

Conclusion

Thank you for your attention ! ! !

Laura Lopez Honorez (MPIK-Hd) Fermionic DM via Higgs portal June 2012 17 / 17

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SLIDE 49

Backup

Backup

Laura Lopez Honorez (MPIK-Hd) Fermionic DM via Higgs portal June 2012 18 / 17

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SLIDE 50

Backup

Mixing

We define the mass eigenstates H1 and H2 in the following way : H1 = cαh + sαφ (1) H2 = −sαh + cαφ (2) (3) with cα = cos(α), sα = sin(α), and α is the mixing angle which depends on the parameters present in the scalar potential in the following way : tan(2α) = √ 2µv1 + 2λ4v1v2 2λHv2

1 − 2λφv2 2 + µv2 1/(2

√ 2v2) (4)

Laura Lopez Honorez (MPIK-Hd) Fermionic DM via Higgs portal June 2012 19 / 17

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SLIDE 51

Backup Laura Lopez Honorez (MPIK-Hd) Fermionic DM via Higgs portal June 2012 20 / 17