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We investigate stau-antistau annihilation into heavy quarks in thephenomenological Minimal Supersymmetric Standard Model within the DM@NLOproject. We present the calculation of the corresponding cross sectionincluding corrections up to $\mathcal{O}(\alpha_s)$ and QED Sommerfeldenhancement. The numerical impact of these corrections is discussed for thecross section and the dark matter relic density, where we focus on top-quarkfinal states and consider either neutralino or gravitino dark matter. Similarlyto previous work, we find that the presented corrections should be includedwhen calculating the relic density or extracting parameters from cosmologicalobservations. Considering scheme and scale variations, we estimate thetheoretical uncertainty that affects the prediction of the annihilation crosssection and thus the prediction of the relic density.

SUSY-QCD corrected and Sommerfeld enhanced stau annihilation into heavy quarks with scheme and scale uncertainties