Crossing beyond scattering amplitudes

Caron-Huot, Simon; Giroux, Mathieu; Hannesdottir, Holmfridur S.; Mizera, Sebastian

doi:10.1007/jhep04(2024)060

Title: Crossing beyond scattering amplitudes

Journal Article · 11 April 2024 · Journal of High Energy Physics (Online)

DOI: https://doi.org/10.1007/jhep04(2024)060 · OSTI ID:2460494

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McGill University, Montreal, QC (Canada); Institute for Advanced Study, Princeton, NJ (United States); Institute for Advanced Study
McGill University, Montreal, QC (Canada)
Institute for Advanced Study, Princeton, NJ (United States)

We find that different asymptotic measurements in quantum field theory can be related to one another through new versions of crossing symmetry. Assuming analyticity, we conjecture generalized crossing relations for multi-particle processes and the corresponding paths of analytic continuation. We prove them to all multiplicity at tree-level in quantum field theory and string theory. We illustrate how to practically perform analytic continuations on loop-level examples using different methods, including unitarity cuts and differential equations. We study the extent to which anomalous thresholds away from the usual physical region can cause an analytic obstruction to crossing when massless particles are involved. In an appendix, we review and streamline historical proofs of four-particle crossing symmetry in gapped theories.

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Research Organization:: Institute for Advanced Study, Princeton, NJ (United States)

Sponsoring Organization:: USDOE Office of Science (SC), High Energy Physics (HEP)

Grant/Contract Number:: SC0009988

OSTI ID:: 2460494

Journal Information:: Journal of High Energy Physics (Online), Journal Name: Journal of High Energy Physics (Online) Journal Issue: 4 Vol. 2024; ISSN 1029-8479

Publisher:: Springer NatureCopyright Statement

Country of Publication:: United States

Language:: English

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