Two-loop mixed QCD-EW corrections to charged current Drell-Yan
Tommaso Armadillo (Dipartimento di Fisica “Aldo Pontremoli”, University of Milano and INFN, Sezione di Milano, Milano, I-20133, Italy, Centre for Cosmology, Particle Physics and Phenomenology (CP3), Université catholique de Louvain, Chemin du Cyclotron, 2, Louvain-la-Neuve, B-1348, Belgium); Roberto Bonciani (Dipartimento di Fisica, Università di Roma “La Sapienza” and INFN, Sezione di Roma, Roma, I-00185, Italy); Simone Devoto (Dipartimento di Fisica “Aldo Pontremoli”, University of Milano and INFN, Sezione di Milano, Milano, I-20133, Italy, Department of Physics and Astronomy, Ghent University, Ghent, 9000, Belgium); Narayan Rana (School of Physical Sciences, National Institute of Science Education and Research, An OCC of Homi Bhabha National Institute, Jatni, 752050, India); Alessandro Vicini (CERN, Theoretical Physics Department, Geneva 23, CH-1211, Switzerland, Dipartimento di Fisica “Aldo Pontremoli”, University of Milano and INFN, Sezione di Milano, Milano, I-20133, Italy)
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.
