English

Geometry and causal flux in multi-loop Feynman diagrams

High Energy Physics - Phenomenology 2021-09-30 v1 High Energy Physics - Theory

Abstract

In this review, we discuss recent developments concerning efficient calculations of multi-loop multi-leg scattering amplitudes. Inspired by the remarkable properties of the Loop-Tree Duality (LTD), we explain how to reconstruct an integrand level representation of scattering amplitudes which only contains physical singularities. These so-called causal representations can be derived from connected binary partitions of Feynman diagrams, properly entangled according to specific rules. We will focus on the detection of flux orientations which are compatible with causality, describing the implementation of a quantum algorithm to identify such configurations.

Keywords

Cite

@article{arxiv.2109.14476,
  title  = {Geometry and causal flux in multi-loop Feynman diagrams},
  author = {German F. R. Sborlini},
  journal= {arXiv preprint arXiv:2109.14476},
  year   = {2021}
}

Comments

9 pages, 3 figures. Contribution to the Proceedings of XIX Mexican School of Particle and Fields (August 9-13, 2021)

R2 v1 2026-06-24T06:29:04.639Z