Geometry and causality for efficient multiloop representations
German F. R. Sborlini
SciPost Phys. Proc. 7, 047 (2022) · published 22 June 2022
- doi: 10.21468/SciPostPhysProc.7.047
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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.
Author / Affiliations: mappings to Contributors and Organizations
See all Organizations.- 1 2 German Sborlini
- 1 Deutsches Elektronen-Synchrotron / Deutsche Elektronen-Synchrotron DESY [DESY]
- 2 Universitat de València / University of Valencia [UV]