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We compute mixed QCD-electroweak corrections to the neutral-current Drell-Yanproduction of a pair of massless leptons in the high invariant mass region. Ourcomputation is fully differential with respect to the final state particles. Atrelatively low values of the dilepton invariant mass, $m_{\ell \ell} \sim 200$GeV, we find unexpectedly large mixed QCD-electroweak corrections at the levelof -1%. At higher invariant masses, $m_{\ell \ell} \sim 1$ TeV, we observe thatthese corrections can be well approximated by the product of QCD andelectroweak corrections. Hence, thanks to the well-known Sudakov enhancement ofthe latter, they increase at large invariant mass and reach e.g. -3% at$m_{\ell \ell} = 3$ TeV. Finally, we note that the inclusion of mixedcorrections reduces the theoretical uncertainty related to the choice ofelectroweak input parameters to below the percent level.

Mixed QCD-electroweak corrections to dilepton production at the LHC in the high invariant mass region