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arXiv 2012.078522020-12-14hep-thhep-phmath-phmath.MP

Minkowski Box from Yangian Bootstrap

Luke Corcoran, Florian Loebbert, Julian Miczajka, Matthias Staudacher

备注：: 21 pages
DOI：: 10.1007/JHEP04(2021)160

英文摘要：

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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