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Extracting analytical one-loop amplitudes from numerical evaluations

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arxiv 1904.04067 v4 pith:XGDZCMJ3 submitted 2019-04-08 hep-ph

classification hep-ph
keywords amplitudesloopanalyticalcoefficientsevaluationsexpressionsgluonmethod
verification ladder T0 review T1 audit T2 compute T3 formal
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In this article we present a method to generate analytic expressions for the integral coefficients of loop amplitudes using numerical evaluations only. We use high-precision arithmetic to explore the singularity structure of the coefficients and decompose them into parts of manageable complexity. To illustrate the usability of our method we provide analytical expressions for all helicity configurations of the colour-ordered six-point gluon amplitudes at one loop with a gluon in the loop.

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Cited by 3 Pith papers

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

  1. Two-loop leading-color QCD corrections for Higgs plus two-jet production in the heavy-top limit

    hep-ph 2026-05 unverdicted novelty 7.0 of 10

    Two-loop leading-color helicity amplitudes for H+2 jets in the heavy-top limit are computed analytically and validated, enabling NNLO phenomenology and revealing an anomalous threshold.

  2. The Two-Loop Lipatov Vertex in QCD

    hep-ph 2024-12 conditional novelty 7.0 of 10

    The two-loop Reggeon-gluon-Reggeon (Lipatov) vertex in QCD is determined in dimensional regularization through finite terms and expressed in single-valued polylogarithms.

  3. Rational-function interpolation from p-adic evaluations in scattering amplitude calculations

    hep-ph 2024-12 conditional novelty 3.0 of 10

    A p-adic interpolation method reconstructs loop-amplitude rational functions directly in partial-fractioned form, cutting required probes by about 25x and output size by about 134x on a challenging two-loop five-point...

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