Conformal Block Expansion in Celestial CFT

Abstract

The 4D 4-point scattering amplitude of massless scalars via a massive exchange is expressed in a basis of conformal primary particle wavefunctions. This celestial amplitude is expanded in a basis of 2D conformal partial waves on the unitary principal series, and then rewritten as a sum over 2D conformal blocks via contour deformation. The conformal blocks include intermediate exchanges of spinning light-ray states, as well as scalar states with positive integer conformal weights. The conformal block prefactors are found as expected to be quadratic in the celestial OPE coefficients.

arXiv comment28 pages, 1 figure

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Cited by in corpus (35)

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• Celestial Amplitudes as AdS-Witten Diagrams
• Ambidextrous light transforms for celestial amplitudes
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• Celestial $w_{1+\infty }$ Symmetries from Twistor Space
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• Black Holes in Klein Space
• From Celestial Correlators to AdS, and back
• Four-point correlators of light-ray operators in CCFT
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• Revisiting the Shadow Stress Tensor in Celestial CFT
• Notes on Resonances and Unitarity from Celestial Amplitudes
• Celestial Conformal Colliders
• Shadow Celestial Amplitude
• (Chiral) Virasoro invariance of the tree-level MHV graviton scattering amplitudes
• Celestial amplitudes in an ambidextrous basis
• Celestial Recursion
• Celestial Geometry
• Celestial insights into the S-matrix bootstrap
• Chaos in Celestial CFT
• Missing Corner in the Sky: Massless Three-Point Celestial Amplitudes
• Integrable Field Theories and Their CCFT Duals
• Celestial amplitude for 2d theory
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• Celestial OPE blocks
• Celestial Holography
• Celestial Feynman Rules for Scalars