Correlator webs of massive multiparton amplitudes at four loops: A study of boomerang webs

Abstract

The logarithm of the soft function can be organised into sets of Feynman diagrams known as correlator webs(cwebs). We introduced a new formalism in Agarwal [] that allows one to determine several of the building blocks of cweb mixing matrices without explicit computations. In Agarwal [], we used this formalism to obtain the diagonal blocks of four general classes of cwebs to all orders in perturbation theory which also covered all the four-loop boomerang cwebs connecting four Wilson lines. In this work, we present complete mixing matrices and exponentiated color factors for boomerang cwebs at four loops that connect three and four Wilson lines. Also, we present a more efficient version of the algorithm of generating cwebs that was presented in Agarwal []. This new algorithm has been used to generate the cwebs in the present work. Published by the American Physical Society 2024