Master integrals for mixed QCD-QED corrections to charged-current Drell-Yan production of a massive charged lepton

Abstract

The master integrals for the mixed QCD-QED two-loop virtual corrections to the charged-current Drell-Yan process $q{\bar{q}}^{\prime }\to \ell \nu$ are computed analytically by using the differential equation method. A suitable choice of master integrals makes it successful to cast the differential equation system into the canonical form. We keep the dependence on charged lepton mass in the building of differential equations and then expand the system against the ratio of small charged lepton mass to large $W$-boson mass. In such a way the final results will contain large logarithms of the form $\log (m_{\ell }^2/m_W^2)$. Finally, all the canonical master integrals are given as Taylor series around $d=4$ spacetime dimensions up to order four, with coefficients expressed in terms of Goncharov polylogarithms up to weight four.

arXiv comment34 pages, 6 figures

References in corpus (65)

• Next-to-Next-to-Leading Order Higgs Production at Hadron Colliders
• Multiloop integrals in dimensional regularization made simple
• High-precision QCD at hadron colliders: electroweak gauge boson rapidity distributions at NNLO
• Vector boson production at hadron colliders: a fully exclusive QCD calculation at NNLO
• Differential Equations for Feynman Graph Amplitudes
• Electroweak gauge boson production at hadron colliders through O(alpha_s^2)
• LiteRed 1.4: a powerful tool for the reduction of the multiloop integrals
• Numerical evaluation of multiple polylogarithms
• Kira - A Feynman Integral Reduction Program
• HPL, a Mathematica implementation of the harmonic polylogarithms
• Algorithms for the symbolic integration of hyperlogarithms with applications to Feynman integrals
• JaxoDraw: A graphical user interface for drawing Feynman diagrams. Version 2.0 release notes
• Integral Reduction with Kira 2.0 and Finite Field Methods
• Fully differential NNLO computations with MATRIX
• pySecDec: a toolbox for the numerical evaluation of multi-scale integrals
• FIESTA 4: optimized Feynman integral calculations with GPU support
• PolyLogTools - Polylogs for the masses
• Color singlet production at NNLO in MCFM
• Electroweak Radiative Corrections to Neutral-Current Drell-Yan Processes at Hadron Colliders
• Electroweak radiative corrections to W-boson production at hadron colliders
• Precision electroweak calculation of the production of a high transverse-momentum lepton pair at hadron colliders
• Radiative corrections to the neutral-current Drell-Yan process in the Standard Model and its minimal supersymmetric extension
• The Drell-Yan cross section to third order in the strong coupling constant
• Expansion by regions: revealing potential and Glauber regions automatically
• Electroweak Radiative Corrections to W Boson Production in Hadronic Collisions
• Extension of HPL to complex arguments
• Drell-Yan Production at NNLL'+NNLO Matched to Parton Showers
• Geometric approach to asymptotic expansion of Feynman integrals
• A GPU compatible quasi-Monte Carlo integrator interfaced to pySecDec
• Precision electroweak calculation of the charged current Drell-Yan process
• Electroweak Radiative Corrections to pp/ppbar -> W+/- -> l+/- nu Beyond the Pole Approximation
• Drell-Yan Production at Threshold to Third Order in QCD
• Dominant mixed QCD-electroweak $\mathcal{O}({\alpha }_s\alpha )$ corrections to Drell-Yan processes in the resonance region
• QED Radiative Corrections to $Z$ Boson Production and the Forward Backward Asymmetry at Hadron Colliders
• One-loop corrections to the Drell--Yan process in SANC (II). The neutral current case
• Drell-Yan lepton-pair production: $q_T$ resummation at N${}^3$LL accuracy and fiducial cross sections at N${}^3$LO
• One-loop corrections to the Drell-Yan process in SANC (I). The charged current case
• The Two-Loop Master Integrals for $q\bar{q}\to VV$
• FIESTA5: numerical high-performance Feynman integral evaluation
• W boson production at hadron colliders: the lepton charge asymmetry in NNLO QCD
• MiNNLO${}_{\text{PS}}$: A new method to match NNLO QCD to parton showers
• Charged Current Drell-Yan Production at N3LO
• Multiple polylogarithms with algebraic arguments and the two-loop EW-QCD Drell-Yan master integrals
• Weak radiative corrections to the Drell-Yan process for large invariant mass of a dilepton pair
• Precision Studies of Observables in pp->W->l nu and pp->gamma,Z->l+l- processes at the LHC
• Lepton-pair production at hadron colliders at N${}^3$LO in QCD
• Master integrals for the NNLO virtual corrections to $\mu e$ scattering in QED: the planar graphs
• Di-lepton Rapidity Distribution in Drell-Yan Production to Third Order in QCD
• QCD$\oplus$QED NNLO corrections to Drell Yan production
• Rapidity Distributions in Drell-Yan and Higgs Productions at Threshold to Third Order in QCD
• Electroweak Radiative Corrections to Resonant Charged Gauge Boson Production
• Two-Loop Master Integrals for the mixed EW-QCD virtual corrections to Drell-Yan scattering
• Mixed strong$-$electroweak corrections to the Drell$-$Yan process
• Mixed QCD-electroweak corrections to on-shell Z production at the LHC
• 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
• Mixed QCD-electroweak corrections to W-boson production in hadron collisions
• Mixed QCD-EW corrections to $\mathbf{pp}\to \mathbf{\ell }{\mathbf{\nu }}_{\mathbf{\ell }}+\mathbf{X}$ at the LHC
• Radiative corrections to W-boson hadroproduction: higher-order electroweak and supersymmetric effects
• Mixed EW-QCD two-loop amplitudes for $q\bar{q}\to {\ell }^{+}{\ell }^{-}$ and ${\gamma }_5$ scheme independence of multi-loop corrections
• Mixed NNLO QCD x electroweak corrections of O(N_f α_s α) to single-W/Z production at the LHC
• Numerical Multi-Loop Calculations via Finite Integrals and One-Mass EW-QCD Drell-Yan Master Integrals
• Precision studies for Drell-Yan processes at NNLO
• Underlying event sensitive observables in Drell-Yan production using GENEVA
• Determination of the muonic branching ratio of the W boson and its total width via cross-section measurements at the Tevatron and LHC