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Conformal Block Expansion in Celestial CFT
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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.
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Cited by 2 Pith papers
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Conformal Partial Wave Expansion of Celestial Correlators
Celestial correlators in Minkowski space admit conformal partial wave expansions with meromorphic spectral densities, enabling conformal block expansions that simplify dramatically for massless scalars.
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Celestial Regge theory
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).
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