Wino potential and Sommerfeld effect at NLO

TL;DR

This paper computes the one-loop electroweak potential between fermionic triplets, revealing significant effects on the Sommerfeld enhancement and dark matter annihilation cross sections in the Standard Model.

Contribution

It provides the first NLO calculation of the electroweak potential affecting wino dark matter, including loop corrections to the Sommerfeld effect.

Findings

Significant modifications to the wino annihilation cross section.

Resonance shifts due to loop corrections.

Enhanced understanding of dark matter annihilation processes.

Abstract

We calculate the SU(2)$\times$U(1) electroweak static potential between a fermionic triplet in the broken phase of the Standard Model in the one-loop order (NLO). The one-loop correction provides the leading non-relativistic correction to the large Sommerfeld effect in the annihilation of wino or wino-like dark matter particles $\chi^0$. We find sizeable modifications of the $\chi^0\chi^0$ annihilation cross section and determine the shifts of the resonance locations due to the loop correction to the wino potential.