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Causality and loop-tree duality at higher loops

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arxiv 1902.02135 v3 pith:PRVGJONB submitted 2019-02-06 hep-ph hep-th

Robert Runkel , Zoltán Szőr , Juan Pablo Vesga , Stefan Weinzierl This is my paper
classification hep-phhep-th
keywords causalitydeltaloopprescriptiontreescorrectdeterminedduality
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

We relate a $l$-loop Feynman integral to a sum of phase space integrals, where the integrands are determined by the spanning trees of the original $l$-loop graph. Causality requires that the propagators of the trees have a modified $i\delta$-prescription and we present a simple formula for the correct $i\delta$-prescription.

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Cited by 1 Pith paper

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  1. General finite two-loop amplitude integrand for photoproduction in quark annihilation

    hep-ph 2025-09 conditional novelty 6.0 of 10

    The paper constructs a locally finite two-loop amplitude integrand for photoproduction in quark annihilation, using momentum-flow symmetrization and an antisymmetric counterterm vertex to remove transient collinear si...

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