Singletdoublet/triplet dark matter and neutrino masses Simon May - - PowerPoint PPT Presentation

Singlet–doublet/triplet dark matter and neutrino masses

Simon May simon.may@mpa-garching.mpg.de Max Planck Institute for Astrophysics (& Institute of Theoretical Physics, WWU Münster)

54th Rencontres de Moriond (EW), La Thuile, 20th March 2019 Based on Juri Fiaschi, Michael Klasen, and Simon May. Singlet–doublet fermion and triplet scalar dark matter with radiative neutrino masses. Submitted to JHEP. 2018. arXiv: 1812.11133 [hep-ph]

Singlet–doublet/triplet dark matter and neutrino masses

Evidence for dark matter and massive neutrinos

Galactic rotation curves Gravitational lensing CMB anisotropy

2015: “for the discovery of neutrino

• scillations, which

shows that neutrinos have mass”

ΛCDM cosmological model

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≈ 𝟪 𝟣 %

d a r k e n e r g y

≈ 𝟥𝟨 %

d a r k m a t t e r

≈ 𝟨 %

known matter

Structure formation

Singlet–doublet/triplet dark matter and neutrino masses

Minimal DM models with radiative neutrino masses

“Radiative seesaw models”

▶ ≤ 4 new scalar/fermion multiplets ▶ SU(3): color singlets SU(2): singlets, doublets or triplets ▶ Additional stabilizing ℤ2 symmetry DM and ν masses through one mechanism! Classified in Restrepo, Zapata, and Yaguna. arXiv: 1308.3655 [hep-ph] Examples of similar work: ▶ “Scotogenic model”/“radiative seesaw”: Ma. arXiv: hep-ph/0601225

T3-B (α = −1)

▶ T1-3-A (α = 0): Esch, Klasen, Lamprea, and Yaguna. arXiv: 1602.05137 [hep-ph] ▶ T1-2-A (α = 0): Esch, Klasen, and Yaguna. arXiv: 1804.03384 [hep-ph]

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Singlet–doublet/triplet dark matter and neutrino masses

The model T1-3-B (α = 0)

Field Gen.’s Spin Lorentz rep. SU(3) SU(2) U(1) ℤ2 SM fields + … 1 Ψ 1

1/ 2

(1/

2, 0)

1 1 −1 ψ 1

1/ 2

(1/

2, 0)

1 2 −1 −1 ψ′ 1

1/ 2

(1/

2, 0)

1 2 1 −1 ϕ ns (0, 0) 1 3 −1 Ψ = Ψ0 ψ = (ψ0 ψ−) ψ′ = (ψ′+ ψ′0) ϕi = (

1 √ 2ϕ0 i

ϕ+

i

ϕ−

i

− 1

√ 2ϕ0 i

)

“dark sterile ν” “dark vector-like lepton doublet” “neutral inert triplet”

DM candidates!

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Singlet–doublet/triplet dark matter and neutrino masses

New interactions in this model (Lagrangian)

H ϕi ϕj H ⟶ λij

1

ϕi ϕj ϕl ϕk ⟶ λijkl

3

H ψ′, ψ Ψ ⟶ λ4, λ5 LNV/LFV, ν masses Li ψ′ ϕj ⟶ λij

6

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Singlet–doublet/triplet dark matter and neutrino masses

How do we obtain massive neutrinos?

After mixing and electroweak symmetry breaking (EWSB), all these models have loop corrections of this form (→ d = 5 Weinberg operator):

Ψ ϕ ψ′ ψ ⟨H0⟩ ⟨H0⟩ ν ν

ηl χk νi νj

mixing

Majorana neutrino mass matrix Mij

ν = ∑ k,l

Mijkl = 1 32π2

ns

∑

l=1

λim

6 λjn 6 (Oη)ln(Oη)lm nf

∑

k=1

(Uχ)∗

knf 2

m3

χk

m2

η0

l − m2

χk

ln( m2

χk

m2

η0

l

) Diagonalize ⇒ neutrino masses diag(mν1, mν2, mν3) (ns non-zero)

Usually: parameters ⇒ ν masses Use Casas–Ibarra parametrization to invert relation: ν masses ⇒ λ6

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Singlet–doublet/triplet dark matter and neutrino masses

Computational tool chain for minimal models

Definition of the field content (data.py) minimal-lagrangians SARAH model files <model>.m, particles.m, parameters.m Manual changes, add SPheno.m SARAH SPheno code micrOMEGAs model files (*.mdl) SPheno SLHA input file LesHouches.in.<model>_low SLHA spectrum file SPheno.spc.<model> micrOMEGAs

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Singlet–doublet/triplet dark matter and neutrino masses

Dark matter with neutrino masses

As a function of dark matter mass

500 750 1000 1250 1500 1750 2000 2250 2500 mDM [GeV] 0.00 0.05 0.10 0.15 0.20 0.25 0.30 0.35 0.40 Ωch2 Ωc = Ωobs

c

χ DM (λi1

6 = 0.1)

χ DM (λi1

6 = 0.5)

χ DM (λi1

6 = 0.8)

η DM (λi1

6 = 0.1)

η DM (λi1

6 = 0.5)

η DM (λi1

6 = 0.8)

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Singlet–doublet/triplet dark matter and neutrino masses

Random scan with full observational constraints

Neutrino masses/mixing, DM relic, Higgs mass, DD, collider, LFV

101 102 103 104 mDM [GeV] 10−30 10−26 10−22 10−18 10−14 10−10 10−6 σSI [pb]

LEP excluded

XENON1T XENONnT 10−32 10−29 10−26 10−23 10−20 10−17 10−14 10−11 BR(μ → eγ)

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Singlet–doublet fermion DM

Singlet–doublet/triplet dark matter and neutrino masses

Random scan with full observational constraints

Neutrino masses/mixing, DM relic, Higgs mass, DD, collider, LFV

101 102 103 104 mDM [GeV] 10−22 10−20 10−18 10−16 10−14 10−12 10−10 10−8 10−6 σSI [pb]

LEP excluded

XENON1T XENONnT 10−32 10−29 10−26 10−23 10−20 10−17 10−14 10−11 BR(μ → eγ)

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Triplet scalar DM

Singlet–doublet/triplet dark matter and neutrino masses

Conclusions

▶ T1-3-B (α = 0) offers significant regions of unprobed parameter space and includes other perks (gauge coupling unification) ▶ Singlet-doublet fermion DM:

▶ Strong complementarity between DD and LFV ▶ Preference for pure doublet at 1 TeV

▶ Triplet scalar DM:

▶ More difficult to probe, but mass fixed at ca. 2 TeV ▶ Will remain partially out of reach for both DD and LFV

▶ Strongest LFV constraints from μ → eγ, μ → 3e τ → eγ currently not sensitive at all

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