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The radiatively-induced splitting of masses in electroweak multiplets isrelevant for both collider phenomenology and dark matter. Precision two-loopcorrections of $\mathcal{O}$(MeV) to the triplet mass splitting in the winolimit of the minimal supersymmetric standard model can affect particlelifetimes by up to $40\%$. We improve on previous two-loop self-energycalculations for the wino model by obtaining consistent input parameters to thecalculation via two-loop renormalisation-group running, and including theeffect of finite light quark masses. We also present the first two-loopcalculation of the mass splitting in an electroweak fermionic quintuplet,corresponding to the viable form of minimal dark matter (MDM). We placesignificant constraints on the lifetimes of the charged and doubly-chargedfermions in this model. We find that the two-loop mass splittings in the MDMquintuplet are not constant in the large-mass limit, as might naively beexpected from the triplet calculation. This is due to the influence of theadditional heavy fermions in loop corrections to the gauge boson propagators.

Two-loop mass splittings in electroweak multiplets: winos and minimal dark matter