Non-relativistic pair annihilation of nearly mass degenerate neutralinos and charginos II. P-wave and next-to-next-to-leading order S-wave coefficients

TL;DR

This paper extends previous calculations of neutralino and chargino annihilation rates in the MSSM by providing next-to-next-to-leading order corrections, including P-wave effects, crucial for accurate dark matter annihilation predictions.

Contribution

It introduces analytic expressions for higher-order corrections to non-relativistic annihilation rates, incorporating P-wave effects in the MSSM framework.

Findings

Analytic next-to-next-to-leading order corrections derived.

Includes leading P-wave effects in the non-relativistic expansion.

Provides essential inputs for Sommerfeld-enhanced dark matter annihilation calculations.

Abstract

This paper is a continuation of an earlier work (arXiv:1210.7928) which computed analytically the tree-level annihilation rates of a collection of non-relativistic neutralino and chargino two-particle states in the general MSSM. Here we extend the results by providing the next-to-next-to-leading order corrections to the rates in the non-relativistic expansion in momenta and mass differences, which include leading P-wave effects, in analytic form. The results are a necessary input for the calculation of the Sommerfeld-enhanced dark matter annihilation rates including short-distance corrections at next-to-next-to-leading order in the non-relativistic expansion in the general MSSM with neutralino LSP.