The one-loop and Sommerfeld electroweak corrections to the Wino dark matter annihilation

TL;DR

This paper calculates the Wino dark matter annihilation cross-section considering both one-loop radiative corrections and the electroweak Sommerfeld effect, showing significant modifications to previous estimates.

Contribution

It provides a consistent method to incorporate one-loop and Sommerfeld corrections simultaneously, clarifying the limitations of using running couplings at the Wino mass scale.

Findings

One-loop corrections reduce the cross-section by up to 30%.

Sommerfeld effect significantly enhances the annihilation rate.

Full correction calculations differ from simpler approximations.

Abstract

We compute the present-day Wino dark matter annihilation cross-section including the one-loop radiative corrections together with the fully treated electroweak Sommerfeld effect. We discuss what is the consistent way of incorporating these two corrections simultaneously and why simply using the running coupling constants values at the Wino mass scale is not correct. The results show that up to a few TeV scale the full one-loop computation makes the cross-section smaller up to about 30% with respect to the Sommerfeld enhanced tree level result and are considerably larger than the tree or one-loop level without the Sommerfeld effect.