Abstract

Abstract We examine the Inert Doublet Model in light of the discovery of a Higgs-like boson with a mass of roughly 126 GeV at the LHC. We evaluate one-loop corrections to the scalar masses and perform a numerical solution of the one-loop renormalization group equations. Demanding vacuum stability, perturbativity, and S-matrix unitarity, we compute the scale up to which the model can be extrapolated. From this we derive constraints on the model parameters in the presence of a 126 GeV Higgs boson. We perform an improved calculation of the dark matter relic density with the Higgs mass fixed to the measured value, taking into account the effects of three- and four-body final states resulting from off-shell production of gauge bosons in dark matter annihilation. Issues related to direct detection of dark matter are discussed, in particular the role of hadronic uncertainties. The predictions for the interesting decay mode h 0 → γγ are presented for scenarios which fulfill all model constraints, and we discuss how a potential enhancement of this rate from the charged inert scalar is related to the properties of dark matter in this model. We also apply LHC limits on Higgs boson decays to invisible final states, which provide additional constraints on the mass of the dark matter candidate. Finally, we propose three benchmark points that capture different aspects of the relevant phenomenology.

Highlights

  • Neutral scalars contained in the new doublet can be seen as weakly interacting massive particles (WIMPs) and play the role of the dark matter (DM) in our universe

  • We have presented an extensive study of the Inert Doublet Model in the light of the recent potential discovery of a Higgs-like boson with a mass around 126 GeV at the Large Hadron Collider (LHC)

  • This is sizeable in the context of dark matter annihilation, which often relies on precise mass differences with respect to a resonance, or on the presence of co-annihilation which is sensitive to the precise relations among the masses of the involved particles

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Summary

The inert doublet model at tree level

The inert doublet model (IDM) contains, in addition to the Standard Model (SM) particle content, a second complex scalar doublet. Given that the second doublet, which we denote by Φ, has odd Z2 parity it is inert in the sense that its component fields do not couple singly to SM particles. The inert doublet Φ does not acquire a vacuum expectation value It forbids several of the terms appearing in the general two-Higgs-doublet model scalar potential [24]. The parameter λ2, which is common to both parameter sets, appears only in quartic self couplings among inert particles and does not enter any physically observable process at the tree level. It plays a role once the theory is considered beyond leading order. We shall make use of both sets of parameters given here

The inert doublet model beyond the tree level
One-loop corrections to the scalar masses
Renormalization group equations for the quartic couplings
Constraints
Theoretical constraints
Oblique parameters
Collider searches
Dark matter relic density
Dark matter direct detection
Setup and strategy
Extrapolation scale
Dark matter
LHC Higgs phenomenology
Benchmark scenarios
Summary
A One-loop scalar masses
Findings
B One-loop beta functions
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