Abstract
We present the production cross section for a lepton-neutrino pair at the Large Hadron Collider computed at next-to-next-to-next-to-leading order (N3LO) in QCD perturbation theory. We compute the partonic coefficient functions of a virtual W± boson at this order. We then use these analytic functions to study the progression of the perturbative series in different observables. In particular, we investigate the impact of the newly obtained corrections on the inclusive production cross section of W± bosons, as well as on the ratios of the production cross sections for W+, W− and/or a virtual photon. Finally, we present N3LO predictions for the charge asymmetry at the LHC.
Highlights
JHEP11(2020)143 available N3LO results in the literature [5,6,7,8,9,10,11,12,13,14], our results are an important input to gauge the relevance and the impact of N3LO corrections on more differential observables, like fiducial cross sections
We present the production cross section for a lepton-neutrino pair at the Large Hadron Collider computed at next-to-next-to-next-to-leading order (N3LO) in QCD perturbation theory
In this paper we have computed for the first time the N3LO corrections to the inclusive production cross section of a lepton-neutrino pair at a proton-proton collider in QCD perturbation theory
Summary
In this paper we compute higher-order corrections in the strong coupling constant to the charged-current Drell-Yan (CCDY) cross section, i.e., the inclusive cross section for the production of a √lepton-neutrino pair of invariant mass Q2 at a proton-collider with centerof-mass energy S. Perturbative corrections to the CCDY cross sections have been computed at next-to-leading order (NLO) in refs. In order to compute all required interferences of real and virtual amplitudes contributing to the N3LO cross section. Vector and axial vector contributions to the hadronic cross section are identical and we only work with a vector current in the generation of our partonic coefficient functions. The mass factorisation involves convoluting lower-order partonic cross sections with the three-loop splitting functions of refs. The soft-virtual cross sections must be identical to the ones for neutral-current DrellYan production (again, apart from the contribution from the cubic Casimir operator). We have checked that we reproduce the numerical results for the ratios of the inclusive W + and W − cross sections up to NNLO given in ref. We have checked that we reproduce the numerical results for the ratios of the inclusive W + and W − cross sections up to NNLO given in ref. [81]
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