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

E.W.N. Glover; Ippp); P. Marquard (Durham; T.G. Birthwright

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

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arxiv hep-ph/0407343 v2 pith:TI2FLZDN submitted 2004-07-29 hep-ph

T.G. Birthwright , E.W.N. Glover , P. Marquard (Durham , IPPP) This is my paper · ORCID

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keywords integralsmastertwo-loopvertexlegsmasslessthreeanalytic

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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.

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Status of two-loop automation in OpenLoops
hep-ph 2024-12 conditional novelty 5.0 of 10

OpenLoops has implemented the building blocks for automated two-loop amplitude calculations in QED and QCD, passing UV pole cancellation checks for simple vertex functions but with broader validation still ongoing.

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