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2021

Conformal Block Expansion in Celestial CFT

Atanasov, Alexander, Melton, Walker, Raclariu, Ana-Maria et al.

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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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