Mixed QCD-electroweak corrections to <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>W</mml:mi></mml:math>-boson production in hadron collisions
Arnd Behring, Federico Buccioni, Fabrizio Caola, Maximilian Delto, M. Jaquier, Kirill Melnikov, Raoul Röntsch
Abstract
We compute mixed QCD-electroweak corrections to the fully differential production of an on-shell $W$ boson. Decays of $W$ bosons to lepton pairs are included in the leading order approximation. The required two-loop virtual corrections are computed analytically for arbitrary values of the electroweak gauge boson masses. Analytic results for integrated subtraction terms are obtained within a soft-collinear subtraction scheme optimized to accommodate the structural simplicity of infrared singularities of mixed QCD-electroweak contributions. Numerical results for mixed corrections to the fiducial cross section of $pp\ensuremath{\rightarrow}{W}^{+}\ensuremath{\rightarrow}{l}^{+}\ensuremath{\nu}$ and selected kinematic distributions in this process are presented.