Three-loop master integrals for ladder-box diagrams with one massive leg
Abstract
The three-loop master integrals for ladder-box diagrams with one massive leg are computed from an eighty-five by eighty-five system of differential equations, solved by means of Magnus exponential. The results of the considered box-type integrals, as well as of the tower of vertex- and bubble-type master integrals associated to subtopologies, are given as a Taylor series expansion in the dimensional regulator parameter epsilon = (4-d)/2. The coefficients of the series are expressed in terms of uniform weight combinations of multiple polylogarithms and transcendental constants up to weight six. The considered integrals enter the next-to-next-to-next-to-leading order virtual corrections to scattering processes like the three-jet production mediated by vector boson decay, V* -> jjj, as well as the Higgs plus one-jet production in gluon fusion, pp -> Hj.
Cite
@article{arxiv.1408.3107,
title = {Three-loop master integrals for ladder-box diagrams with one massive leg},
author = {Stefano Di Vita and Pierpaolo Mastrolia and Ulrich Schubert and Valery Yundin},
journal= {arXiv preprint arXiv:1408.3107},
year = {2015}
}
Comments
44 pages, 5 figures, 2 ancillary files