Geometry and causality for efficient multiloop representations

  1. Sborlini, German 12
  1. 1 Deutsche Elektronen-Synchrotron DESY
    info

    Deutsche Elektronen-Synchrotron DESY

    Hamburgo, Alemania

    ROR https://ror.org/01js2sh04

  2. 2 Universitat de València
    info

    Universitat de València

    Valencia, España

    ROR https://ror.org/043nxc105

Journal:
SciPost Physics Proceedings

ISSN: 2666-4003

Year of publication: 2022

Type: Article

DOI: 10.21468/SCIPOSTPHYSPROC.7.047 GOOGLE SCHOLAR lock_openOpen access editor

More publications in: SciPost Physics Proceedings

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.

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