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

Abstract

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, mℓℓ ∼ 200 GeV, we find unexpectedly large mixed QCD-electroweak corrections at the level of −1%. At higher invariant masses, mℓℓ ∼ 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 mℓℓ = 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.

Mixed QCD-Electroweak corrections to the Drell-Yan process in the high invariant mass region

“…The potential interplay between this enhancement and the magnitude of NLO QCD corrections suggests that mixed QCD×EW corrections could impact predictions at the percent level. In this proceeding we report on the recent calculation of mixed QCD×EW corrections to the neutral-current-mediated production of a pair of massless leptons [16]. Qualitatively, our results are in agreement with the analysis of Ref.…”

“…All the numerical values for the electroweak input parameters and further details on the set up can be found in Ref. [16]. We recombine photons and leptons into "lepton jets".…”

“…The lower pane shows the ratio of mixed QCD×EW corrections to the NLO result, including both EW and QCD corrections (orange line), and the factorised approximation (pink line). See Ref [16]. and the text for details.…”

Two-loop mixed QCD-EW corrections to neutral current Drell-Yan

“…The large size of both NLO QCD and NLO EW corrections suggests that also the mixed strong-electroweak corrections 𝑑𝜎 (1,1) might have a sizeable impact, which, by physical counting, is expected to be comparable with N3LO QCD contributions. Recent results from two independent computations [27,28] show indeed an effect of ∼ 0.5% with respect to the LO result. In this proceeding, we will present some technical aspects of the latter results, namely the computation of the mixed QCD-EW two-loop virtual corrections [29] that represented one of the bottlenecks of the full calculation and that have been used to obtain the phenomenological results presented in [27].…”

Master integrals for mixed QCD-QED corrections to charged-current Drell-Yan production of a massive charged lepton

“…[68,69], and the complete mixed QCD-EW NNLO corrections to the DY production of a massless lepton pair were first computed in refs. [70,71].…”