Loop-level gluon OPEs in celestial holography

TL;DR

This paper computes one-loop corrections to gluon operator product expansions in celestial holography, revealing IR finite structures and logarithmic operators, with exact results in a special supersymmetric limit.

Contribution

It provides the first detailed one-loop analysis of gluon OPEs in celestial CFT, including an all-loop exact OPE in a supersymmetric gauge theory limit.

Findings

Derived IR finite OPE involving logarithms and logarithmic partners.

Computed one-loop corrections to gluon OPEs in celestial CFT.

Obtained an exact all-loop OPE in a supersymmetric limit.

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.