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Minkowski Box from Yangian Bootstrap

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arxiv 2012.07852 v1 pith:D7OXDNDL submitted 2020-12-14 hep-th hep-phmath-phmath.MP

Luke Corcoran , Florian Loebbert , Julian Miczajka , Matthias Staudacher This is my paper · ORCID
classification hep-thhep-phmath-phmath.MP
keywords integralminkowskispaceyangianbootstrapkinematicregionsalternative
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We extend the recently developed Yangian bootstrap for Feynman integrals to Minkowski space, focusing on the case of the one-loop box integral. The space of Yangian invariants is spanned by the Bloch-Wigner function and its discontinuities. Using only input from symmetries, we constrain the functional form of the box integral in all 64 kinematic regions up to twelve (out of a priori 256) undetermined constants. These need to be fixed by other means. We do this explicitly, employing two alternative methods. This results in a novel compact formula for the box integral valid in all kinematic regions of Minkowski space.

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  1. Yangian symmetry, GKZ equations and integrable Feynman graphs in conformal variables

    hep-th 2024-12 conditional novelty 7.0 of 10

    Yangian-invariant conformal Feynman integrals satisfy a general cross-ratio PDE system that for a class of graphs is exactly a GKZ hypergeometric system.

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