Relic density of dark matter in the inert doublet model beyond leading order for the low mass region: 4. The Higgs resonance region

TL;DR

This paper calculates one-loop electroweak corrections to dark matter annihilation in the inert doublet model near the Higgs resonance, improving the precision of relic density predictions by addressing technical issues like Higgs width implementation.

Contribution

It provides a detailed methodology for incorporating one-loop corrections and Higgs width effects in relic density calculations within the IDM, applicable beyond this specific model.

Findings

One-loop electroweak corrections significantly affect annihilation cross-sections.

Proper treatment of Higgs width is crucial for accurate resonance calculations.

Results improve the precision of dark matter relic density predictions in the low mass Higgs resonance region.

Abstract

One-loop electroweak corrections to the annihilation cross-sections of dark matter in the Higgs resonance region of the inert doublet model (IDM) are investigated. The procedure of how to implement the width of the Higgs in order to regularise the amplitude both at tree-level and at one-loop together with the renormalisation of a key parameter of the model, are thoroughly scrutinised. The discussions go beyond the application to the relic density calculation and also beyond the IDM so that addressing these technical issues can help in a wider context. We look in particular at the dominant channels with the $b \bar b$ final state and the more involved 3-body final state, $W f \bar f^\prime$, where both a resonance and an anti-resonance, due to interference effects, are present. We also discuss how to integrate over such configurations when converting the cross-sections into a calculation of the relic density.