  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.
