Causal representation and numerical evaluation of multi-loop Feynman integrals
Abstract
The loop-tree duality (LTD) has become a novelty alternative to bootstrap the numerical evaluation of multi-loop scattering amplitudes. It has indeed been found that Feynman integrands, after the application of LTD, display a representation containing only physical information, the so-called causal representation. In this talk, we discuss the all-loop causal representation of multi-loop Feynman integrands, recently found in terms of features that describe a loop topology, vertices and edges. Likewise, in order to elucidate the numerical stability in LTD integrands, we present applications that involve numerical evaluations of two-loop planar and non-planar triangles with presence of several kinematic invariants.
Cite
@article{arxiv.2110.14963,
title = {Causal representation and numerical evaluation of multi-loop Feynman integrals},
author = {William J. Torres Bobadilla},
journal= {arXiv preprint arXiv:2110.14963},
year = {2021}
}
Comments
8 pages, 3 figures, 1 table; contribution to the Proceedings of the 15th International Symposium on Radiative Corrections (RADCOR) and the XIX Workshop on Radiative Corrections for the LHC and Future Colliders (LoopFest), 2021