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

Ettore Remiddi; Lorenzo Tancredi

doi:10.1016/j.nuclphysb.2014.01.009

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

High Energy Physics - Phenomenology 2014-03-05 v2

Authors: Ettore Remiddi , Lorenzo Tancredi

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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.

Keywords

feynman integrals scattering amplitudes

Cite

@article{arxiv.1311.3342,
  title  = {Schouten identities for Feynman graph amplitudes; the Master Integrals for the two-loop massive sunrise graph},
  author = {Ettore Remiddi and Lorenzo Tancredi},
  journal= {arXiv preprint arXiv:1311.3342},
  year   = {2014}
}

Comments

30 pages, 1 figure, minor typos in the text corrected, results unchanged. Version accepted for publication on Nuclear Physics B

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

Abstract

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