Two-loop helicity amplitudes for the production of two off-shell electroweak bosons in gluon fusion

Caola, Fabrizio (PH Department, TH Unit, CERN, 1211, Geneva 23, Switzerland) ; Henn, Johannes (Institute for Advanced Study,, Princeton, NJ, 08540, USA) ; Melnikov, Kirill (Institute for Theoretical Particle Physics, Karlsruhe Institute of Technology, Karlsruhe, Germany) ; Smirnov, Alexander (Research Computing Center, Moscow State University, 119991, Moscow, Russia) ; Smirnov, Vladimir (Skobeltsyn Institute of Nuclear Physics, Moscow State University, 119991, Moscow, Russia)

22 June 2015

Abstract: We compute the part of the two-loop virtual amplitude for the process gg → V 1 V 2 → l 1 l ¯ 2 ′ l 2 l ¯ 2 ′ $gg\to {V}_1{V}_2\to \left({l}_1{\overline{l}}_2^{\prime}\right)\left({l}_2{\overline{l}}_2^{\prime}\right)$ , where V 1,2 are arbitrary electroweak gauge bosons, that receives contributions from loops of massless quarks. Invariant masses of electroweak bosons are allowed to be different from each other. Our result provides an important ingredient for improving the description of gluon fusion contribution to the production of four-lepton final states at the LHC.

Published in: JHEP 1506 (2015) 129