A Comment on Loop Corrections to the Celestial Stress Tensor

TL;DR

This paper explores how 1-loop corrections to soft graviton theorems relate to celestial symmetries, extending the celestial diamond framework to non-linear orders and complex vacua.

Contribution

It demonstrates the matching of IR divergence corrections to soft charges with BMS flux algebra and extends celestial CFT symmetry generators to non-linear regimes.

Findings

1-loop corrections match BMS flux algebra predictions

Extended celestial diamond framework to non-linear order

Provided insights into celestial CFT symmetry structure

Abstract

In this note we show how the 1-loop exact correction to the subleading soft graviton theorem arising from IR divergences of scattering amplitudes matches onto the quadratic corrections to the soft charges computed from the BMS flux algebra. In the process, we examine how the BMS flux construction extends the celestial diamond framework to non-linear order and non-trivial vacua, and provides the natural symmetry generators for Celestial CFT.