The structure of IR divergences in celestial gluon amplitudes

Understand

The all-loop resummation of SU$(N)$ gauge theory amplitudes is known to factorize into an IR-divergent (soft and collinear) factor and a finite (hard) piece.

• The divergent factor is universal, whereas the hard function is a process-dependent quantity.
• We prove that this factorization persists for the corresponding celestial amplitudes.
• Moreover, the soft/collinear factor becomes a scalar correlator of the product of renormalized Wilson lines defined in terms of celestial data.