24102 2405.00612 10.1007/JHEP07(2024)265 265 265 Two-loop mixed QCD-EW corrections to charged current Drell-Yan Regular Article - Theoretical Physics 1 26 2024 7 30 2024 5 7 2024 7 12 2024 7 30 The Author(s) 2024 Open Access. This article is distributed under the terms of the Creative Commons Attribution License ( CC-BY 4.0 ), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited. 13130 2024 2024 7 7 Tommaso Armadillo tommaso.armadillo@uclouvain.be Roberto Bonciani roberto.bonciani@roma1.infn.it Simone Devoto simone.devoto@ugent.be Narayan Rana narayan.rana@niser.ac.in Alessandro Vicini alessandro.vicini@mi.infn.it https://ror.org/02495e989 grid.7942.8 0000 0001 2294 713X Centre for Cosmology, Particle Physics and Phenomenology (CP3) Université catholique de Louvain Chemin du Cyclotron, 2 B-1348 Louvain-la-Neuve Belgium grid.470206.7 0000 0004 7471 9720 Dipartimento di Fisica “Aldo Pontremoli”, University of Milano and INFN, Sezione di Milano I-20133 Milano Italy grid.7841.a Dipartimento di Fisica, Università di Roma “La Sapienza” and INFN, Sezione di Roma I-00185 Roma Italy https://ror.org/00cv9y106 grid.5342.0 0000 0001 2069 7798 Department of Physics and Astronomy Ghent University 9000 Ghent Belgium grid.419643.d 0000 0004 1764 227X School of Physical Sciences, National Institute of Science Education and Research, An OCC of Homi Bhabha National Institute Jatni 752050 India grid.9132.9 0000 0001 2156 142X CERN, Theoretical Physics Department CH-1211 Geneva 23 Switzerland Abstract We present the two-loop mixed strong-electroweak virtual corrections to the charged current Drell-Yan process. The final-state collinear singularities are regularised by the lepton mass. The evaluation of all the relevant Feynman integrals, including those with up to two different internal massive lines, has been worked out relying on semi-analytical techniques, using complex-valued masses. We can provide, at any arbitrary phase-space point, the solution as a power series in the W-boson mass, around a reference value. Starting from these expansions, we can prepare a numerical grid for any value of the W-boson mass within their radius of convergence in a negligible amount of time. Keywords Electroweak Precision Physics Higher Order Electroweak Calculations Higher-Order Perturbative Calculations ArXiv ePrint: 2405.00612