Energetic $\gamma$-rays from TeV scale dark matter annihilation resummed

TL;DR

This paper provides a highly precise calculation of gamma-ray spectra from TeV-scale dark matter annihilation, incorporating quantum corrections like Sudakov logarithms and the Sommerfeld effect, relevant for gamma-ray telescope observations.

Contribution

It introduces the first NLL' accuracy all-order resummation of electroweak corrections for semi-inclusive photon spectra in TeV dark matter annihilation within the pure wino model.

Findings

Most precise prediction of gamma-ray spectra from TeV dark matter annihilation.

Quantitative impact of electroweak corrections on annihilation rates.

Relevance for gamma-ray telescope energy resolution.

Abstract

The annihilation cross section of TeV scale dark matter particles $\chi^0$ with electroweak charges into photons is affected by large quantum corrections due to Sudakov logarithms and the Sommerfeld effect. We calculate the semi-inclusive photon energy spectrum in $\chi^0\chi^0\to \gamma+X$ in the vicinity of the maximal photon energy $E_\gamma = m_\chi$ with NLL' accuracy in an all-order summation of the electroweak perturbative expansion adopting the pure wino model. This results in the most precise theoretical prediction of the annihilation rate for $\gamma$-ray telescopes with photon energy resolution of parametric order $m_W^2/m_\chi$ for photons with TeV energies.