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Geometry and causality for efficient multiloop representations
by German F. R. Sborlini
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|Authors (as registered SciPost users):||German Sborlini|
|Preprint Link:||https://arxiv.org/abs/2109.07808v1 (pdf)|
|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)|
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)
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The article reports on the work presented at RADCOR/LoopFest 2021. It fulfills all the requirements for publication in SciPost Proceedings.
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.