PT Journal
AU Beneke, M
   Hellmann, C
   Ruiz-Femenia, P
TI Non-relativistic pair annihilation of nearly mass degenerate neutralinos and charginos III. Computation of the Sommerfeld enhancements
SO Journal of High Energy Physics
JI J. High Energy Phys.
PY 2015
BP 115
EP 57pp
VL 05
IS 5
DI 10.1007/JHEP05(2015)115
LA English
DE Cosmology of Theories beyond the SM; Supersymmetric Standard Model; Nonperturbative Effects
AB This paper concludes the presentation of the non-relativistic effective field theory formalism designed to calculate the radiative corrections that enhance the pair-annihilation cross sections of slowly moving neutralinos and charginos within the general minimal supersymmetric standard model (MSSM). While papers I and II focused on the computation of the tree-level annihilation rates that feed into the short-distance part, here we describe in detail the method to obtain the Sommerfeld factors that contain the enhanced long-distance corrections. This includes the computation of the potential interactions in the MSSM, which are provided in compact analytic form, and a novel solution of the multi-state Schrodinger equation that is free from the numerical instabilities generated by large mass splittings between the scattering states. Our results allow for a precise computation of the MSSM neutralino dark matter relic abundance and pair-annihilation rates in the present Universe, when Sommerfeld enhancements are important.
ER