Shadow celestial amplitudes

A bstract We study scattering amplitudes in the shadow conformal primary basis, which satisfies the same defining properties as the original conformal primary basis and has many advantages over it. The shadow celestial amplitudes exhibit locality manifestly on the celestial sphere, and behave like c...

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Bibliographic Details
Published in:The journal of high energy physics 2023-02, Vol.2023 (2), p.17-28, Article 17
Main Authors: Chang, Chi-Ming, Cui, Wei, Ma, Wen-Jie, Shu, Hongfei, Zou, Hao
Format: Article
Language:English
Subjects:
Amplitudes
Celestial sphere
Classical and Quantum Gravitation
Conformal and W Symmetry
Elementary Particles
Feynman diagrams
Field Theories in Lower Dimensions
Field theory
High energy physics
Operators (mathematics)
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Regular Article - Theoretical Physics
Relativity Theory
Scalars
Shadows
Spacetime
Star maps
String Theory
Symmetry
Thermal expansion
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Summary:A bstract We study scattering amplitudes in the shadow conformal primary basis, which satisfies the same defining properties as the original conformal primary basis and has many advantages over it. The shadow celestial amplitudes exhibit locality manifestly on the celestial sphere, and behave like correlation functions in conformal field theory under the operator product expansion (OPE) limit. We study the OPE limits for three-point shadow celestial amplitude, and general 2 → n − 2 shadow celestial amplitudes from a certain class of Feynman diagrams. In particular, we compute the conformal block expansion of the s -channel four-point shadow celestial amplitude of massless scalars at tree-level, and show that the expansion coefficients factorize as products of OPE coefficients.
ISSN:1029-8479
1029-8479
DOI:10.1007/JHEP02(2023)017