NLO electroweak potentials for minimal dark matter and beyond

Abstract

We calculate the one-loop correction to the static potential induced by $\gamma$, $W$ and $Z$-exchange at tree-level for arbitrary heavy standard model multiplets. We find that the result obeys a "Casimir-like" scaling, making the NLO correction to the potential a "low-energy" property of the electroweak gauge bosons. Furthermore, we discuss the phenomenology of the NLO potentials, the analytically known asymptotic limits and provide fitting functions in position space for easy use of the results.