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Generation Function For One-loop Tensor Reduction

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arxiv 2209.09517 v2 pith:HM5WL774 submitted 2022-09-20 hep-ph

classification hep-ph
keywords reductioncoefficientsgenerationintegralsone-looptensoramplitudesarbitrary
verification ladder T0 review T1 audit T2 compute T3 formal
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For loop integrals, the reduction is the standard method. Having an efficient way to find reduction coefficients is an important topic in scattering amplitudes. In this paper, we present the generation functions of reduction coefficients for general one-loop integrals with arbitrary tensor rank.

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Cited by 2 Pith papers

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

  1. Tensor Reduction of Sunset by Generating Function

    hep-th 2025-09 conditional novelty 6.0 of 10

    A complete set of recurrence relations is derived to reduce any tensor integral of the sunset diagram to seven master integrals, using generating functions supplemented by syzygy equations.

  2. Direct Expression for One-Loop Tensor Reduction with Lorentz Indices via Generating Function

    hep-th 2025-01 conditional novelty 5.0 of 10

    A rational, recursion-free expression for one-loop tensor reduction coefficients with Lorentz indices is given, built from a small set of tensor building blocks.

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