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Functional Directed Acyclical Graphs for Scattering Amplitudes in Perturbation Theory

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arxiv 2306.02414 v1 pith:DGTBEXC3 submitted 2023-06-04 hep-ph

classification hep-ph
keywords scatteringefficientabstractacyclicalallowsamplitudesarbitrarycompact
verification ladder T0 review T1 audit T2 compute T3 formal
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I describe a mathematical framework for the efficient processing of the very large sets of Feynman diagrams contributing to the scattering of many particles. I reexpress the established numerical methods for the recursive construction of scattering elements as operations on compact abstract data types. This allows efficient perturbative computations in arbitrary models, as long as they can be described by an effective, not necessarily local, Lagrangian.

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Forward citations

Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. New developments in the Whizard event generator

    hep-ph 2024-12 unverdicted novelty 4.0 of 10

    Whizard's recent and planned developments are summarized: NLO EW automation, loop-induced processes, UFO2 support, GPU integration, and future EW PDFs, with several items still in progress.

  2. Challenges for Monte Carlo generators

    hep-ph 2024-12 unverdicted

    A review of Monte Carlo generator capabilities and challenges for future lepton colliders, covering beams, QED/EW corrections, showers, BSM simulation, and performance.

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