Two-loop non-planar master integrals for top-pair production in the quark-annihilation channel

TL;DR

This paper analytically computes two-loop non-planar master integrals crucial for precise top-pair production predictions in quark-antiquark collisions, using differential equations and polylogarithms.

Contribution

It provides the first analytic solutions for specific two-loop non-planar integrals needed for top-pair production calculations.

Findings

Master integrals expressed in terms of multiple polylogarithms.

Completion of analytical evaluation for last two color coefficients.

Methodology applicable to similar multi-loop calculations.

Abstract

We present the analytic computation of the master integrals associated to certain two-loop non-planar topologies, which are needed to complete the evaluation of the last two color coefficients for the top-pair production in the quark-annihilation channel, which are not yet known analytically. The master integrals have been computed exploiting the differential equations method in canonical form. The solution is given as a series expansion in the dimensional regularization parameter through to weight four, the expansion coefficients are given in terms of multiple polylogarithms.