Double-real corrections at O(alpha alpha_s) to single gauge boson production

Abstract

We consider the O(alpha alpha_s) corrections to single on-shell gauge boson production at hadron colliders. We concentrate on the contribution of all the subprocesses where the gauge boson is accompanied by the emission of two additional real partons and we evaluate the corresponding total cross sections. The latter are divergent quantities, because of soft and collinear emissions, and are expressed as Laurent series in the dimensional regularization parameter. The total cross sections are evaluated by means of reverse unitarity, i.e. expressing the phase-space integrals in terms of two-loop forward box integrals with cuts on the final state particles. The results are reduced to a combination of Master Integrals, which eventually are evaluated in terms of Generalized Polylogarithms. The presence of internal massive lines in the Feynman diagrams, due to the exchange of electroweak gauge bosons, causes the appearance of 14 Master Integrals which were not previously known in the literature and have been evaluated via Differential Equations.

42 pages, full expression of cross sections and Master Integrals in Mathematica format in ancillary files

References in corpus (36)

• Vector boson production at hadron colliders: a fully exclusive QCD calculation at NNLO
• FEWZ 2.0: A code for hadronic Z production at next-to-next-to-leading order
• Algorithm FIRE -- Feynman Integral REduction
• NLO vector-boson production matched with shower in POWHEG
• FIRE5: a C++ implementation of Feynman Integral REduction
• Lectures on differential equations for Feynman integrals
• Color singlet production at NNLO in MCFM
• Presenting LiteRed: a tool for the Loop InTEgrals REDuction
• Higgs boson gluon-fusion production at threshold in N3LO QCD
• Precision electroweak calculation of the production of a high transverse-momentum lepton pair at hadron colliders
• Feynman Diagrams and Differential Equations
• Reducing differential equations for multiloop master integrals
• Drell-Yan lepton pair production at NNLO QCD with parton showers
• Mixed QCD-electroweak O(α_sα) corrections to Drell-Yan processes in the resonance region: pole approximation and non-factorizable corrections
• Electroweak corrections to W + jet hadroproduction including leptonic W-boson decays
• Precision electroweak calculation of the charged current Drell-Yan process
• Threshold resummation at N${}^3$LL accuracy and soft-virtual cross sections at N${}^3$LO
• Drell-Yan Production at Threshold to Third Order in QCD
• NNLOPS accurate Drell-Yan production
• One-loop corrections to the Drell--Yan process in SANC (II). The neutral current case
• Electroweak corrections to hadronic production of W bosons at large transverse momenta
• On the Generalized Harmonic Polylogarithms of One Complex Variable
• The Two-Loop Master Integrals for $q\bar{q}\to VV$
• Iterated Binomial Sums and their Associated Iterated Integrals
• Precision Studies of Observables in pp->W->l nu and pp->gamma,Z->l+l- processes at the LHC
• Calculating Massive 3-loop Graphs for Operator Matrix Elements by the Method of Hyperlogarithms
• Two-Loop Master Integrals for the mixed EW-QCD virtual corrections to Drell-Yan scattering
• Two-Loop Formfactors in Theories with Mass Gap and Z-Boson Production
• Two-Loop Renormalization in the Standard Model Part III: Renormalization Equations and their Solutions
• Two-Loop Renormalization in the Standard Model Part I: Prolegomena
• On the factorization of overlapping singularities at NNLO
• The impact of PDF uncertainties on the measurement of the W boson mass at the Tevatron and the LHC
• Study of weak corrections to Drell-Yan, top-quark pair and dijet Production at high energies with MCFM
• PDF uncertainties on the W boson mass measurement from the lepton transverse momentum distribution
• Two-Loop Renormalization in the Standard Model Part II: Renormalization Procedures and Computational Techniques
• Evaluation of the Theoretical Uncertainties in the W to Lepton and Neutrino Cross Sections at the LHC

Cited by in corpus (20)

• Drell-Yan lepton-pair production: $q_T$ resummation at N${}^3$LL accuracy and fiducial cross sections at N${}^3$LO
• Precision Studies of Observables in pp->W->l nu and pp->gamma,Z->l+l- processes at the LHC
• QCD$\oplus$QED NNLO corrections to Drell Yan production
• Third order fiducial predictions for Drell-Yan at the LHC
• Mixed strong$-$electroweak corrections to the Drell$-$Yan process
• DYTurbo: Fast predictions for Drell-Yan processes
• Combining QED and QCD transverse-momentum resummation for Z boson production at hadron colliders
• Precision Measurement of the W-Boson Mass: Theoretical Contributions and Uncertainties
• Mixed QCD$\otimes$QED corrections to on-shell $Z$ boson production at the LHC
• Mixed QCD$\otimes$QED corrections to exclusive Drell Yan production using the $q_T$-subtraction method
• NNLO QCD$\times$EW corrections to Z production in the $q\bar{q}$ channel
• Numerical Multi-Loop Calculations via Finite Integrals and One-Mass EW-QCD Drell-Yan Master Integrals
• Accurate simulation of W, Z and Higgs boson decays in Sherpa
• Determination of the $W$-boson mass at hadron colliders
• Mixed QCD-QED corrections to DGLAP equations
• Master Integrals for double real radiation emission in heavy-to-light quark decay
• EW one-loop corrections to the longitudinally polarized Drell-Yan process. Charged-current case II
• NNLO mixed EW-QCD corrections to single vector boson production
• Infrared structure of $SU(N)\times U(1)$ gauge theory to three loops
• Two-loop mixed QCD-EW corrections to neutral current Drell-Yan