Charged current Drell-Yan production at N3LO

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.

Mixed EW-QCD two-loop amplitudes for $$ q\overline{q}\to {\mathrm{\ell}}^{+}{\mathrm{\ell}}^{-} $$ and γ5 scheme independence of multi-loop corrections

“…It is therefore unsurprising that significant resources have been allocated, over the course of a multi-generational effort, to bring the higher-order corrections to the Drell-Yan scattering processes under control. The total cross section in pure Quantum Chromodynamics (QCD) was successfully calculated through to next-tonext-to-next-to-leading order in the strong coupling constant for both the neutral-and charged-current processes [2][3][4][5][6][7][8]. On the electroweak side, neutral gauge boson production and decay has been calculated through to next-to-next-to-leading order in pure Quantum Electrodynamics (QED) [9,10], but full electroweak (EW) corrections are known only at next-to-leading order [11][12][13][14][15][16][17][18][19].…”

“…In fact, we could have simply skipped the calculation of the bare self-energy in HVBM's γ 5 scheme altogether; requiring that our result respect the chiral symmetry of the Standard Model to all orders in uniquely leads to the result obtained in Kreimer's γ 5 scheme in section 2.7 after finite renormalization. 8 Of course, Larin's principle can be successfully applied to the fermion self-energies and vertex form factors because they have a direct correspondence to terms in the renormalized Lagrange density. For more complicated contributions to higher-multiplicity scattering amplitudes at two loops and beyond, it is expected that non-trivial corrections will arise from the finite counterterms, beginning with insertions into lower-loop box-type diagrams.…”

Mixed NNLO QCD×electroweak corrections of $$ \mathcal{O} $$(Nfαsα) to single-W/Z production at the LHC

“…Recently N 3 LO QCD corrections to inclusive DY-like W production have been calculated in ref. [43]. A review on QCD and EW higher-order corrections to various observables in DY-like W/Z production can be found in ref.…”

Resummed Drell-Yan cross-section at N3LL

“…However similar to the photon mediated DY case, at this region the other subprocesses will be as important as the qq one. We have also compared the SVM result for W-production with the recently obtained exact result at N 3 LO [73], and we find that including the other subprocesses further bring down the cross-section additionally 2%.…”