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Schouten identities for Feynman graph amplitudes; the Master Integrals for the two-loop massive sunrise graph

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arxiv 1311.3342 v2 pith:7VNMIYNB submitted 2013-11-13 hep-ph

Ettore Remiddi , Lorenzo Tancredi This is my paper · ORCID
classification hep-ph
keywords graphidentitiesamplitudesdimensionsfeynmanschoutensunrisethen
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

A new class of identities for Feynman graph amplitudes, dubbed Schouten identities, valid at fixed integer value of the dimension d is proposed. The identities are then used in the case of the two loop sunrise graph with arbitrary masses for recovering the second order differential equation for the scalar amplitude in d=2 dimensions, as well as a chained sets of equations for all the coefficients of the expansions in (d-2). The shift from $d\approx2$ to $d\approx4$ dimensions is then discussed.

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Cited by 4 Pith papers

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    The thesis performs the first elliptic symbol bootstrap to obtain the symbol of the two-loop twelve-point double box, and identifies the first Calabi-Yau threefold geometry in post-Minkowskian gravitational-wave integrals.

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