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 ϵ = (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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Di Vita, S., Mastrolia, P., Schubert, U. et al. Three-loop master integrals for ladder-box diagrams with one massive leg. J. High Energ. Phys. 2014, 148 (2014). https://doi.org/10.1007/JHEP09(2014)148
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DOI: https://doi.org/10.1007/JHEP09(2014)148