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Celestial Amplitudes: Conformal Partial Waves and Soft Limits

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arxiv 1904.10940 v1 pith:OEFTVPVO submitted 2019-04-24 hep-th

classification hep-th
keywords amplitudescelestialconformalgluonlimitsmasslesspartialsoft
verification ladder T0 review T1 audit T2 compute T3 formal
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Massless scattering amplitudes in four-dimensional Minkowski spacetime can be Mellin transformed to correlation functions on the celestial sphere at null infinity called celestial amplitudes. We study various properties of massless four-point scalar and gluon celestial amplitudes such as conformal partial wave decomposition, crossing relations and optical theorem. As a byproduct, we derive the analog of the single and double soft limits for all gluon celestial amplitudes.

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Cited by 3 Pith papers

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

  1. Conformal Partial Wave Expansion of Celestial Correlators

    hep-th 2025-02 conditional novelty 7.0 of 10

    Celestial correlators in Minkowski space admit conformal partial wave expansions with meromorphic spectral densities, enabling conformal block expansions that simplify dramatically for massless scalars.

  2. Celestial Regge theory

    hep-th 2026-02 conditional novelty 6.0 of 10

    Celestial pair correlators in the Regge limit are shown to encode bulk Regge-pole residues, giving a dictionary between celestial CFT OPE data and bulk partial amplitudes (eq. 5.6).

  3. Holographic symmetry algebra for the MHV sector revisited

    hep-th 2025-08 conditional novelty 6.0 of 10

    In the MHV sector, the celestial symmetry algebra is a semidirect product of w_{1+∞} (or S) with an infinite Abelian algebra, whose null states supply the two missing KZ equations.

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