English

Causality and loop-tree duality at higher loops

High Energy Physics - Phenomenology 2019-08-07 v3 High Energy Physics - Theory

Abstract

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

Keywords

Cite

@article{arxiv.1902.02135,
  title  = {Causality and loop-tree duality at higher loops},
  author = {Robert Runkel and Zoltán Szőr and Juan Pablo Vesga and Stefan Weinzierl},
  journal= {arXiv preprint arXiv:1902.02135},
  year   = {2019}
}

Comments

6 pages, v2: version to be published, v3: Theorem 1 corrected

R2 v1 2026-06-23T07:33:29.976Z