Pre-published on:
November 09, 2023
Published on:
January 22, 2024
Abstract
We study the anomalous dimensions governing infrared divergences of multi-leg QCD amplitudes with one massive parton up to three loops. The behaviours of the kinematic functions for tripole and quadrupole correlations with a massive parton are studied in details. We analytically calculate the tripole correlation at three loops, and the result is expressed by Harmonic polylogarithms with transcendental weight four and weight five.