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arXiv · 1408.3107

Three-loop master integrals for ladder-box diagrams with one massive leg

Stefano Di Vita·Pierpaolo Mastrolia·Ulrich Schubert·Valery Yundin
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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.

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Stefano Di Vita, Pierpaolo Mastrolia, Ulrich Schubert, Valery Yundin. 2014-08-13. Three-loop master integrals for ladder-box diagrams with one massive leg. https://doi.org/10.1007/jhep09(2014)148

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