Master Integrals For Massless Two-Loop Vertex Diagrams With Three Offshell Legs

Abstract

We compute the master integrals for massless two-loop vertex graphs with three off-shell legs. These master integrals are relevant for the QCD corrections to H to V*V* (where V = W, Z) and for two-loop studies of the triple gluon (and quark-gluon) vertex. We employ the differential equation technique to provide series expansions in epsilon for the various master integrals. The results are analytic and contain a new class of two-dimensional harmonic polylogarithms.

Comments: 33 pages, JHEP3.cls, figures produced by feynmf, analytic results in data.m, reference added