Radiative corrections to the spectra of heavy particles annihilation into leptons: Dark matter implementation

TL;DR

This paper computes radiative corrections to dark matter annihilation into leptons, considering lepton masses and both Dirac and Majorana fermions, revealing different behaviors in the cross-section depending on the fermion type.

Contribution

It provides a detailed calculation of radiative corrections including lepton masses for dark matter annihilation, highlighting differences between Dirac and Majorana cases.

Findings

Dirac case cross-section matches Drell-Yan form

Majorana case shows two different limiting behaviors

Cross-section results depend on the mass spectrum

Abstract

We calculate the radiative corrections to the annihilation of the Dark Matter particles into leptons. Lepton masses are taken into account. As the Dark Matter particles are considered both Dirac and Majorana fermions. We sum up all the leading logarithms contributions where it is possible. We show that in the Dirac fermion case the resulting cross-section is consistent with the renormalization group prediction: the cross-section have the Drell-Yan form. Whereas, in the Majorana fermions case we have two essentially different limits of the resulting cross-section and quantitively the answer strongly depends on a spectrum of the masses entering the problem.