Geometry and causality for efficient multiloop representations
Abstract
Multi-loop scattering amplitudes constitute a serious bottleneck in current high-energy physics computations. Obtaining new integrand level representations with smooth behaviour is crucial for solving this issue, and surpassing the precision frontier. In this talk, we describe a new technology to rewrite multi-loop Feynman integrands in such a way that non-physical singularities are avoided. The method is inspired by the Loop-Tree Duality (LTD) theorem, and uses geometrical concepts to derive the causal structure of any multi-loop multi-leg scattering amplitude. This representation makes the integrand much more stable, allowing faster numerical simulations, and opens the path for novel re-interpretations of higher-order corrections in QFT.
Cite
@article{arxiv.2109.07808,
title = {Geometry and causality for efficient multiloop representations},
author = {German F. R. Sborlini},
journal= {arXiv preprint arXiv:2109.07808},
year = {2021}
}
Comments
10 pages, 1 figure. 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)