Testing the dark matter scenario in the inert doublet model by future precision measurements of the Higgs boson couplings

TL;DR

This paper calculates one-loop radiative corrections to Higgs couplings in the inert doublet model, assessing how future precision measurements could test the model's dark matter scenario beyond current direct detection capabilities.

Contribution

It provides a detailed analysis of one-loop Higgs coupling deviations in the inert doublet model, linking collider measurements to dark matter phenomenology.

Findings

Deviations in Higgs couplings can be detectable at future colliders.

Dark matter mass near half the Higgs mass is challenging for direct detection.

Future experiments can test the model via Higgs coupling precision or inert particle searches.

Abstract

We evaluate radiative corrections to the Higgs boson couplings in the inert doublet model, in which the lightest component of the $Z_2^{}$ odd scalar doublet field can be a dark matter candidate. The one-loop contributions to the $hVV$, $hff$ and $hhh$ couplings are calculated in the on-shell scheme, where $h$ is the Higgs boson with the mass 125 GeV, $V$ represents a weak gauge boson and $f$ is a fermion. We investigate how the one-loop corrected Higgs boson couplings can be deviated from the predictions in the standard model under the constraints from perturbative unitarity and vacuum stability in the scenario where the model can explain current dark matter data. When the mass of the dark matter is slightly above a half of the Higgs boson mass, it would be difficult to test the model by the direct search experiments for dark matter. We find that in such a case the model can be tested at future collider experiments by either the direct search of heavier inert particles or precision measurements of the Higgs boson couplings.