Mixed QCD⊗QED corrections to exclusive Drell Yan production using the qT -subtraction method
Leandro Cieri, Daniel de Florian, Manuel Der, Javier Mazzitelli
Abstract
A bstract In this work we extend the q T -subtraction formalism, originally developed for QCD corrections, to the case of mixed QCD⊗QED corrections, and apply it to the fully exclusive calculation of the $$ \mathcal{O}\left({\alpha}_s\alpha \right) $$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>O</mml:mi> <mml:mfenced> <mml:mrow> <mml:msub> <mml:mi>α</mml:mi> <mml:mi>s</mml:mi> </mml:msub> <mml:mi>α</mml:mi> </mml:mrow> </mml:mfenced> </mml:math> contribution to the production of an off-shell Z boson in hadronic collisions. We present explicit results for the subtraction term and the hard factor, therefore providing all the ingredients needed for the application of the formalism up to $$ \mathcal{O}\left({\alpha}_s\alpha \right) $$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>O</mml:mi> <mml:mfenced> <mml:mrow> <mml:msub> <mml:mi>α</mml:mi> <mml:mi>s</mml:mi> </mml:msub> <mml:mi>α</mml:mi> </mml:mrow> </mml:mfenced> </mml:math> . To study the phenomenological impact we consider the decay of the off-shell Z boson into a pair of neutrinos, and present kinematical distributions for the final-state leptons at LHC energies.