Celestial IR divergences in general most-subleading-color gluon and gravity amplitudes

A bstract Gluon amplitudes at most-subleading order in the 1 /N expansion share a remarkable simplicity with graviton amplitudes: collinear divergences are completely absent both and, as consequence, their full IR behavior arises from soft gluon/graviton exchange among external states. In this paper we study effect of all-loop celestial color gluon and similarities gravity case. particular, simple exponentiation formula for dipole part can be written. We also analize how is modified by non-dipole contributions. Finally show that, Regge limit, factor satisfies Knizhnik-Zamolodchikov equation hinting possibility an effective Wess-Zumino-Witten model would describe dynamics infrared sector.