NNLO mixed EW-QCD corrections to single vector boson production

TL;DR

This paper calculates the mixed electroweak and QCD two-loop corrections to single vector boson production at the LHC, providing detailed computational methods and results for the total partonic cross section.

Contribution

It introduces a detailed method for computing mixed EW-QCD corrections at two-loop level for vector boson production, advancing precision in theoretical predictions.

Findings

Computed ${ m O}( extstylerac{ ext{alpha} imes ext{alpha}_s}{})$ corrections to the process

Used differential equations to evaluate master integrals

Provided detailed computational framework for future precision calculations

Abstract

We outline the computational details to obtain mixed EW-QCD corrections to on-shell production of a single vector boson at the LHC at two-loop level. We use the method of differential equation to obtain the pure virtual, real-virtual and double-real master integrals. Finally, we obtain the ${\cal O}(\alpha \alpha_s)$ corrections to the total partonic cross section of the process $q \bar{q} \rightarrow Z + X$.