Vector boson production at hadron colliders: hard-collinear coefficients at the NNLO

TL;DR

This paper calculates the NNLO hard-collinear coefficient function for vector boson production at hadron colliders, improving precision in resummation and subtraction methods for QCD corrections at small transverse momenta.

Contribution

It provides the first NNLO calculation of the hard-collinear coefficient function used in resummation and subtraction techniques for vector boson production.

Findings

Enables more accurate NNLO resummed predictions

Improves subtraction method calculations at NNLO

Enhances understanding of small transverse momentum behavior

Abstract

We consider QCD radiative corrections to vector-boson production in hadron collisions. We present the next-to-next-to-leading order (NNLO) result of the hard-collinear coefficient function for the all-order resummation of logarithmically-enhanced contributions at small transverse momenta. The coefficient function controls NNLO contributions in resummed calculations at full next-to-next-to-leading logarithmic accuracy. The same coefficient function is used in applications of the subtraction method to perform fully-exclusive perturbative calculations up to NNLO.