Shadow Celestial Amplitude

Abstract

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 $2\to n-2$ shadow celestial amplitudes from a large 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.

References in corpus (10)

• Symmetries of Celestial Amplitudes
• Celestial Amplitudes as AdS-Witten Diagrams
• Holographic dual of the five-point conformal block
• Four-point correlators of light-ray operators in CCFT
• Notes on Resonances and Unitarity from Celestial Amplitudes
• Celestial Yang-Mills Amplitudes and D=4 Conformal Blocks
• Correlators of Four Light-Ray Operators in CCFT
• Feynman Rules for Scalar Conformal Blocks
• Light transformed gluon correlators in CCFT
• Celestial Mellin Amplitude

Cited by in corpus (5)

• All-order celestial OPE from on-shell recursion
• Missing Corner in the Sky: Massless Three-Point Celestial Amplitudes
• Celestial self-dual Yang-Mills theory: a new formula and the OPE limit
• Entanglement Rényi entropies in celestial holography
• Double-soft limit and celestial shadow OPE from charge bracket