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Geometry and causality for efficient multiloop representations

by German F. R. Sborlini

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Submission summary

Authors (as registered SciPost users): German Sborlini
Submission information
Preprint Link: https://arxiv.org/abs/2109.07808v1  (pdf)
Date accepted: 2022-02-08
Date submitted: 2021-09-17 11:21
Submitted by: Sborlini, German
Submitted to: SciPost Physics Proceedings
Proceedings issue: 15th International Symposium on Radiative Corrections: Applications of Quantum Field Theory to Phenomenology (RADCOR2021)
Ontological classification
Academic field: Physics
Specialties:
  • High-Energy Physics - Theory
  • High-Energy Physics - Phenomenology
Approach: Theoretical

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.

Published as SciPost Phys. Proc. 7, 047 (2022)


Reports on this Submission

Report #1 by Anonymous (Referee 1) on 2021-11-27 (Invited Report)

Strengths

The article reports on the work presented at RADCOR/LoopFest 2021. It fulfills all the requirements for publication in SciPost Proceedings.

Weaknesses

None.

Report

The article reports on the work presented at RADCOR/LoopFest 2021. It fulfills all the requirements for publication in SciPost Proceedings and therefore we recommend its publication.

  • validity: high
  • significance: high
  • originality: good
  • clarity: high
  • formatting: excellent
  • grammar: excellent

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Comments

German Sborlini  on 2021-11-27  [id 1982]

We thank the referee for the positive report.