We perform the first one-loop electroweak corrections for $2\to 3$ processes for dark matter annihilation. These are the dominant processes that enter the computation of the relic density for the low mass region of the inert doublet model (IDM) when annihilations to two on shell vector bosons are closed. The impact of the one-loop corrections are important as they involve, through rescattering effects, not only a dependence on the parameter controlling the dark sector, not present if a calculation at tree level is conducted, but also on the renormalization scale. These combined effects should be taken into account in analyses based on tree-level cross sections of the relic density calculations, as a theoretical uncertainty, which we find to be much larger than the cursory $\pm 10\%$ uncertainty that is routinely assumed, independently of the model parameters.

• Received 20 February 2021
• Accepted 13 August 2021

DOI:https://doi.org/10.1103/PhysRevD.104.075004

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Published by the American Physical Society