Abstract
We compute for the first time the lepton-pair rapidity distribution in the photon-mediated Drell-Yan process to next-to-next-to-next-to-leading order in QCD. The calculation is based on the q_{T}-subtraction method, suitably extended to this order for quark-antiquark initiated Born processes. Our results display sizeable QCD corrections at next-to-next-to-next-to-leading order over the full rapidity region and provide a fully independent confirmation of the recent results for the total Drell-Yan cross section at this order.
Highlights
Introduction.—Precision physics is becoming increasingly important for the CERN Large Hadron Collider (LHC) physics program, in particular in view of the absence of striking signals for beyond the standard model phenomena
The first calculation of inclusive next-to-next-to-leading order (NNLO) QCD corrections to a hadron collider process was performed for the Drell-Yan process [5,6], followed by the first NNLO rapidity distributions
Next-to-next-to-next-to-leading order (N3LO) QCD corrections have been computed for the inclusive Drell-Yan process with an off-shell photon [14], and for charged current Drell-Yan production [15]
Summary
Validity and practicality of the qT-subtraction method at this order. qT-subtraction at N3LO.—The N3LO corrections in QCD receive contributions from four types of parton-level subprocesses, each correcting the underlying Born-level process: triple real radiation at tree level, double real radiation at one loop, single real radiation at two loops, and purely virtual three-loop corrections. QT-subtraction at N3LO.—The N3LO corrections in QCD receive contributions from four types of parton-level subprocesses, each correcting the underlying Born-level process: triple real radiation at tree level, double real radiation at one loop, single real radiation at two loops, and purely virtual three-loop corrections At this order, only very few collider processes have been computed so far, including inclusive and differential Higgs production from gluon fusion [21,22,23,24,25,26], inclusive Drell-Yan production [14], inclusive Higgs production from b quark annihilation [27], vector boson fusion Higgs production [28], di-Higgs production [29], inclusive deep inelastic scattering [30], and jet production in deep inelastic scattering [31,32]. This allows one to write the unresolved contributions in a factorized form to all orders in perturbation theory, in terms of a hard function H, beam functions B for the incoming particle beams, and a soft function S: X i σ
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