Non-planar master integrals for the production of two off-shell vector bosons in collisions of massless partons

TL;DR

This paper calculates all necessary non-planar master integrals for NNLO QCD predictions of two off-shell vector boson production in massless parton collisions, completing the two-loop amplitude calculations.

Contribution

It provides the first complete analytical computation of non-planar master integrals for this process using differential equations and Goncharov polylogarithms.

Findings

All non-planar master integrals are expressed analytically.

Results enable full two-loop amplitude calculations for off-shell vector boson production.

Completes the set of integrals needed for NNLO predictions in this process.

Abstract

We present the calculation of all non-planar master integrals that are needed to describe production of two off-shell vector bosons in collisions of two massless partons through NNLO in perturbative QCD. The integrals are computed analytically using differential equations in external kinematic variables and expressed in terms of Goncharov polylogarithms. These results provide the last missing ingredient needed for the computation of two-loop amplitudes that describe the production of two gauge bosons with different invariant masses in hadron collisions.