Loop-level gluon OPEs in celestial holography

Abstract

We compute one-loop corrections to the OPE of gluons in the celestial conformal field theory corresponding to Yang-Mills coupled to arbitrary matter. We exploit universal hard/soft factorization to derive an IR finite OPE for the hard gluon operators. This OPE involves logarithms and operators that resemble logarithmic partners of primary operators. We derive an exact all-loop OPE in a limit of the Higgs-regulated planar $\mathcal{N}=4$ super Yang-Mills theory.

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Cited by in corpus (10)

• From Moyal deformations to chiral higher-spin theories and to celestial algebras
• On the associativity of 1-loop corrections to the celestial operator product in gravity
• All-order celestial OPE in the MHV sector
• Logarithmic Celestial Conformal Field Theory
• All-order celestial OPE from on-shell recursion
• Integrable Field Theories and Their CCFT Duals
• Currents in Celestial CFT
• Celestial $s{w}_{1+\infty }$ algebra in Einstein-Yang-Mills theory
• Loop corrections versus marginal deformation in celestial holography
• Non-abelian soft radiation data for a celestial theory