Mixed strong$-$electroweak corrections to the Drell$-$Yan process

Abstract

We report on the first complete computation of the mixed QCD$-$electroweak (EW) corrections to the neutral-current Drell$-$Yan process. Superseding previously applied approximations, our calculation provides the first result at this order that is valid in the entire range of dilepton invariant masses. The two-loop virtual contribution is computed by using semi-analytical techniques, overcoming the technical problems in the evaluation of the relevant master integrals. The cancellation of soft and collinear singularities is achieved by a formulation of the $q_T$ subtraction formalism valid in presence of charged massive particles in the final state. We present numerical results for the fiducial cross section and selected kinematical distributions. At large values of the lepton $p_T$ the mixed QCD$-$EW corrections are negative and increase in size, to about $-15\%$ with respect to the next-to-leading-order QCD result at $p_T=500$GeV. Up to dilepton invariant masses of 1 TeV the computed corrections amount to about $-1.5\%$ with respect to the next-to-leading-order QCD result.

8 pages, 2 figures and 1 table

References in corpus (17)

• Observation of a new particle in the search for the Standard Model Higgs boson with the ATLAS detector at the LHC
• Observation of a new boson at a mass of 125 GeV with the CMS experiment at the LHC
• An NNLO subtraction formalism in hadron collisions and its application to Higgs boson production at the LHC
• Vector boson production at hadron colliders: a fully exclusive QCD calculation at NNLO
• Electroweak gauge boson production at hadron colliders through O(alpha_s^2)
• How bright is the proton? A precise determination of the photon parton distribution function
• Recola2: REcursive Computation of One-Loop Amplitudes 2
• Precision electroweak calculation of the production of a high transverse-momentum lepton pair at hadron colliders
• Top-quark pair hadroproduction at next-to-next-to-leading order in QCD
• Mixed QCD-electroweak O(α_sα) corrections to Drell-Yan processes in the resonance region: pole approximation and non-factorizable corrections
• Precision electroweak calculation of the charged current Drell-Yan process
• Two-Loop Fermionic Corrections to Heavy-Quark Pair Production: the Quark-Antiquark Channel
• Polarized QED splittings of massive fermions and dipole subtraction for non-collinear-safe observables
• One-loop corrections to the Drell--Yan process in SANC (II). The neutral current case
• Two-Loop Planar Corrections to Heavy-Quark Pair Production in the Quark-Antiquark Channel
• NNLO QCD$\times$EW corrections to Z production in the $q\bar{q}$ channel
• Photon Radiation with MadDipole

Cited by in corpus (31)

• 50 Years of Quantum Chromodynamics
• Rare $b$ decays meet high-mass Drell-Yan
• Lepton-pair production at hadron colliders at N${}^3$LO in QCD
• Di-lepton Rapidity Distribution in Drell-Yan Production to Third Order in QCD
• Event Generators for High-Energy Physics Experiments
• Fiducial Drell-Yan production at the LHC improved by transverse-momentum resummation at N${}^4$LL+N${}^3$LO
• Third order fiducial predictions for Drell-Yan at the LHC
• Les Houches 2021: Physics at TeV Colliders: Report on the Standard Model Precision Wishlist
• Two-loop master integrals for a planar topology contributing to $pp\to t\bar{t}j$
• Parton Distributions and New Physics Searches: the Drell-Yan Forward-Backward Asymmetry as a Case Study
• NLO Electroweak Corrections to Multi-Boson Processes at a Muon Collider
• One-loop QCD helicity amplitudes for $pp\to t\bar{t}j$ to $O({\epsilon }^2)$
• Evaluation of multi-loop multi-scale Feynman integrals for precision physics
• Computational challenges for multi-loop collider phenomenology
• Determination of the $W$-boson mass at hadron colliders
• Threshold enhanced cross sections for colorless productions
• On electroweak corrections to neutral current Drell-Yan with the POWHEG BOX
• Photon splitting corrections to soft-photon resummation
• Luminosity determination using Z boson production at the CMS experiment
• Probing the weak mixing angle at high energies at the LHC and HL-LHC
• Les Houches 2023 -- Physics at TeV Colliders: Report on the Standard Model Precision Wishlist
• Precision phenomenology with fiducial cross sections in the triple-differential Drell-Yan process
• Master integrals for mixed QCD-QED corrections to charged-current Drell-Yan production of a massive charged lepton
• Master Integrals for Electroweak corrections to $gg\to \gamma \gamma$ -- Light quark contributions
• Two-loop mixed QCD-electroweak amplitudes for $Z+$jet production at the LHC: bosonic corrections
• Next to Soft Threshold Resummation for $VH$ Production
• Mixed QCD-electroweak corrections to dilepton production at the LHC in the high invariant mass region
• Fermionic Electroweak Two-Loop Corrections to Drell-Yan and Related Processes
• Monte Carlo Event Generators
• Two-loop mixed QCD-EW corrections to neutral current Drell-Yan
• Monte Carlo Event Generators for Future Lepton Colliders