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The first complete calculation of the next-to-leading-order electroweakcorrections to four-lepton production at the LHC is presented, where alloff-shell effects of intermediate Z bosons and photons are taken into account.Focusing on the mixed final state $\mu^+\mu^-e^+e^-$, we study differentialcross sections that are particularly interesting for Higgs-boson analyses. Theelectroweak corrections are divided into photonic and purely weak corrections.The former exhibit patterns familiar from similar W/Z-boson productionprocesses with very large radiative tails near resonances and kinematicalshoulders. The weak corrections are of the generic size of 5% and showinteresting variations, in particular a sign change between the regions ofresonant Z-pair production and the Higgs signal.

Electroweak corrections to $pp \to \mu^+\mu^-e^+e^- + X$ at the LHC -- a Higgs background study