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We show the impact of the electroweak, and in one instance the QCD, one-loopcorrections on the relic density of dark matter in the MSSM which is providedby the lightest neutralino. We cover here some of the most important scenarii:annihilation into fermions for a bino-like neutralino, annihilation involvinggauge bosons in the case of a mixed neutralino, the neutralino-stauco-annihilation region and annihilation into a bottom quark pair. Thecorrections can be large and should be taken into account in view of thepresent and forthcoming increasing precision on the relic density measurements.Our calculations are made possible thanks to a newly developed automatic toolfor the calculation at one-loop of any process in the MSSM. We have implementeda complete on-shell gauge invariant renormalisation scheme, with thepossibility of switching to other schemes. In particular we will report on theimpact of different renormalisation schemes for tan beta.

Full one-loop corrections to the relic density in the MSSM: A few examples