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

We compute mixed QCD-electroweak corrections to the neutral-current Drell-Yan production of a pair of massless leptons in the high invariant mass region. Our computation is fully differential with respect to the final state particles. At relatively low values of the dilepton invariant mass, m(ll) similar to 200 GeV, we find unexpectedly large mixed QCD-electroweak corrections at the level of -1%. At higher invariant masses, m(ll) similar to 1 TeV, we observe that these corrections can be well approximated by the product of QCD and electroweak corrections. Hence, thanks to the well-known Sudakov enhancement of the latter, they increase at large invariant mass and reach e.g. -3% at m(ll) = 3 TeV. Finally, we note that the inclusion of mixed corrections reduces the theoretical uncertainty related to the choice of electroweak input parameters to below the percent level.

Automated summary

We computed the mixed QCD-electroweak corrections to high invariant mass neutral-current Drell-Yan production of massless leptons. Our results show unexpectedly large corrections at low invariant masses and an approximation to the product of QCD and electroweak corrections at higher invariant masses. These corrections increase with larger invariant mass and reduce the theoretical uncertainty related to the choice of electroweak input parameters.