Loop corrections to celestial amplitudes

Gonzalez, Hernan A.; Puhm, Andrea; Rojas, Francisco


We study the effect of loop corrections to conformal correlators on the celestial sphere at null infinity. We fast analyze fmite one-loop celestial amplitudes in pure Yang-Mills theory and Einstein gravity. We then turn to our main focus: infrared divergent loop amplitudes in planar N = 4 super-Yang-Mills theory. We compute the celestial one-loop amplitude in dimensional regularization and show that it can be recast as an operator acting on the celestial tree-level amplitude. This extends to any loop order, and the resummation of all planar loops enables us to write down an expression for the all-loop celestial amplitude. Finally, we show that the exponentiated all-loop expression given by the Bern-Dixon-Smirnov (BDS) formula gets promoted on the celestial sphere to an operator acting on the tree-level conformal correlation function, thus yielding, the celestial BDS formula.

Más información

Título según WOS: Loop corrections to celestial amplitudes
Título de la Revista: PHYSICAL REVIEW D
Volumen: 102
Número: 12
Fecha de publicación: 2020


Notas: ISI