Celestial gluon and graviton OPE at loop level

Understand

In this paper, we analyze the loop corrections to celestial OPE for gluons and gravitons.

• Even at the loop level, the soft gluons and gravitons have conformal dimensions $\Delta=1-\mathbb Z_{\geq 0}$.
• The only novelty is the presence of higher poles.
• At one loop level, there are two types of conformal soft gluons with a single pole and a double pole in the $\Delta$ plane.