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Crossing beyond scattering amplitudes

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arxiv 2310.12199 v1 pith:CR6MUOVN submitted 2023-10-18 hep-th

Simon Caron-Huot , Mathieu Giroux , Holmfridur S. Hannesdottir , Sebastian Mizera This is my paper · ORCID
classification hep-th
keywords crossinganalytictheorydifferentfieldquantumsymmetryamplitudes
verification ladder T0 review T1 audit T2 compute T3 formal
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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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Cited by 4 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Spacelike-Collinear Scattering by the Method of Regions

    hep-ph 2026-07 conditional novelty 8.0 of 10

    The kinematic factorisation-violating part of the two-loop spacelike-collinear splitting amplitude comes entirely from a single hidden region with soft and Glauber loop momenta.

  2. Complete function space for planar two-loop six-particle scattering amplitudes

    hep-ph 2025-01 conditional novelty 8.0 of 10

    Planar two-loop six-particle massless master integrals are solved analytically up to weight four as Chen iterated integrals, with a complete 245-letter alphabet and a validated numerical implementation.

  3. Imprint of the black hole interior on thermal four-point correlators

    hep-th 2025-12 conditional novelty 6.0 of 10

    Analytically continuing and smearing thermal four-point correlators turns them into flat-space scattering amplitudes at a bulk point inside the black hole.

  4. Analytic bootstrap bounds on masses and spins in gravitational and non-gravitational scalar theories

    hep-th 2024-12 reject novelty 6.0 of 10

    The authors derive 'Sequential Spin and Mass Constraints' for su-symmetric and stu-symmetric four-point amplitudes, claiming any weakly-coupled spectrum must have ordered spins and bounded mass ratios.

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