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Locality and Analyticity of the Crossing Symmetric Dispersion Relation

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arxiv 2205.13762 v2 pith:RTMYNWUS submitted 2022-05-27 hep-th hep-phmath-phmath.MP

Debapriyo Chowdhury , Parthiv Haldar , Ahmadullah Zahed This is my paper · ORCID
classification hep-thhep-phmath-phmath.MP
keywords expansionanalyticitycrossinglocalitysymmetricblockcsdrdispersion
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This paper discusses the locality and analyticity of the crossing symmetric dispersion relation (CSDR). Imposing locality constraints on the CSDR gives rise to a local and fully crossing symmetric expansion of scattering amplitudes, dubbed as Feynman block expansion. A general formula is provided for the contact terms that emerge from the expansion. The analyticity domain of the expansion is also derived analogously to the Lehmann-Martin ellipse. Our observation of type-II super-string tree amplitude suggests that the Feynman block expansion has a bigger analyticity domain and better convergence.

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Cited by 2 Pith papers

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

  1. Bootstrapping black holes at low impact parameter

    hep-th 2026-07 conditional novelty 7.0 of 10

    After subtracting the eikonal carrier, the residual SDR spectrum in six dimensions organizes into a cap-saturated low-impact band, an empty gap, and Regge-like ridges whose weak-coupling edge is the G_N=0 baseline.

  2. The EFT Bootstrap at Finite $M_{PL}$

    hep-th 2025-01 conditional novelty 7.0 of 10

    One-loop gravity effects make forward-limit positivity bounds ill-defined for massless scalar-gravity EFTs, forcing non-forward dispersion relations that shift the tree-level bounds by order-one factors.

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