From multileg loops to trees (by-passing Feynman's Tree Theorem)
High Energy Physics - Theory
2009-11-13 v1 High Energy Physics - Phenomenology
Abstract
We illustrate a duality relation between one-loop integrals and single-cut phase-space integrals. The duality relation is realised by a modification of the customary +i0 prescription of the Feynman propagators. The new prescription regularizing the propagators, which we write in a Lorentz covariant form, compensates for the absence of multiple-cut contributions that appear in the Feynman Tree Theorem. The duality relation can be extended to generic one-loop quantities, such as Green's functions, in any relativistic, local and unitary field theories.
Cite
@article{arxiv.0807.0531,
title = {From multileg loops to trees (by-passing Feynman's Tree Theorem)},
author = {German Rodrigo and Stefano Catani and Tanju Gleisberg and Frank Krauss and Jan-Christopher Winter},
journal= {arXiv preprint arXiv:0807.0531},
year = {2009}
}
Comments
To appear in the Proceedings of Loops and Legs in Quantum Field Theory, 2008, Sondershausen, Germany. 6 pages, uses axodraw