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A new method for finding more symmetry relations of Feynman integrals

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arxiv 2406.20016 v2 pith:SUF3CLG3 submitted 2024-06-28 hep-ph

classification hep-ph
keywords methodsymmetryrelationsfeynmanintegralansatzcomparedconditions
verification ladder T0 review T1 audit T2 compute T3 formal
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We introduce a new method for deriving Feynman integral symmetry relations. By solving the ansatz of momentum transformation in the field of rational functions rather than constants, this method can sometimes find more symmetry relations, compared to some state-of-the-art software. The new method may help to further decrease the number of unique sectors in an integral family. Well-chosen gauge conditions are implemented in this method for the efficient symmetry searching.

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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. Analytic two-loop amplitudes for $q\bar{q}\to \gamma \gamma$ and $gg \to \gamma \gamma$ mediated by a heavy-quark loop

    hep-ph 2025-01 accept novelty 8.0 of 10

    The two-loop amplitudes for q qbar -> gamma gamma and gg -> gamma gamma with a heavy-quark loop are computed analytically in terms of elliptic iterated integrals, with validated fast series expansions for numerical ev...

  2. Kira 3: integral reduction with efficient seeding and optimized equation selection

    hep-ph 2025-05 conditional novelty 6.0 of 10

    Kira 3 cuts Feynman-integral reduction cost by up to two orders of magnitude using smarter seeding and equation selection.

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