Partial wave treatment of supersymmetric dark matter in the presence of CP violation -: art. no. 095008

We present an improved partial wave analysis of the dominant lightest supersymmetric particle (LSP) annihilation channel to a fermion-antifermion pair which avoids the nonrelativistic expansion being therefore applicable near thresholds and poles. The method we develop allows for contributions of any partial wave in the total angular momentum J in contrast to partial wave analyses in terms of the orbital angular momentum L of the initial state, which is usually truncated to p waves, and yields very accurate results. The method is formulated in such a way as to allow easy handling of CP-violating phases residing in supersymmetric parameters. We apply this refined partial wave technique in order to calculate the neutralino relic density in the constrained minimal supersymmetric standard model (CMSSM) in the presence of CP-violating terms occurring in the Higgs-mixing parameter mu and trilinear A coupling for large tanbeta. The inclusion of CP-violating phases in mu and A does not upset significantly the picture, and the annihilation of the LSPs to a b (b) over bar, through Higgs exchange, is still the dominant mechanism in obtaining cosmologically acceptable neutralino relic densities in regions far from the stau coannihilation and the "focus point." Significant changes can occur if we allow for phases in the gaugino masses and, in particular, the gluino mass.