https://doi.org/10.1140/epjc/s10052-017-4728-6
Regular Article - Theoretical Physics
Double-real corrections at 
to single gauge boson production
1
Dipartimento di Fisica, Università di Roma “La Sapienza” and INFN Sezione di Roma, Piazzale Aldo Moro 5, 00185, Rome, Italy
2
Physik-Institut, Universität Zürich, Winterthurerstrasse 190, 8057, Zurich, Switzerland
3
Department of Physics, University at Buffalo, The State University of New York, Buffalo, 14260, USA
4
Tif Lab, Dipartimento di Fisica, Università di Milano and INFN, Sezione di Milano, Via A. Celoria 16, 20133, Milan, Italy
* e-mail: alessandro.vicini@mi.infn.it
Received:
21
January
2017
Accepted:
27
February
2017
Published online:
23
March
2017
We consider the 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.
© The Author(s), 2017
