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Article dans une revue Phys.Lett.B Année : 2024

Polytope symmetries of Feynman integrals

Résumé

Feynman integrals appropriately generalized are $\mathsf A$-hypergeometric functions. Among the properties of $\mathsf A$-hypergeometric functions are symmetries associated with the Newton polytope. In ordinary hypergeometric functions these symmetries lead to linear transformations. Combining tools of $\mathsf A$-hypergeometric systems and the computation of symmetries of polytopes, we consider the associated symmetries of Feynman integrals in the Lee-Pomeransky representation. We compute the symmetries of $\mathtt n$-gon integrals up to $\mathtt n=8$, massive banana integrals up to 5-loop, and on-shell ladders up to 3-loop. We apply these symmetries to study finite on-shell ladder integrals up to 3-loop.
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Dates et versions

hal-04557248, version 1 (24-04-2024)

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Leonardo de la Cruz. Polytope symmetries of Feynman integrals. Phys.Lett.B, 2024, 854, pp.138744. ⟨10.1016/j.physletb.2024.138744⟩. ⟨hal-04557248⟩
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Dernière date de mise à jour le 26/06/2024
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