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A Geometric View on Crossing-Symmetric Dispersion Relations
Joan Elias Miro, Andrea Guerrieri, Mehmet Asim Gumus, Ahmadullah Zahed
https://arxiv.org/abs/2509.14170 https://

A Geometric View on Crossing-Symmetric Dispersion Relations
We introduce a general framework for constructing dispersion relations using crossing-symmetric variables, leading to infinitely many distinct representations of the 2-to-2 scattering amplitude of identical scalars. Classical formulations such as the Auberson-Khuri crossing-symmetric dispersion relations (CSDRs), the Mahoux-Roy-Wanders relations, and the local CSDR, as well as fixed-t dispersion relations emerge as special cases. Within this setting we re-derive the null constraints from a geom…