Loop corrections to celestial amplitudes - Archive ouverte HAL
Article Dans Une Revue Physical Review D Année : 2020

Loop corrections to celestial amplitudes

Hernán A. González
  • Fonction : Auteur
Francisco Rojas
  • Fonction : Auteur

Résumé

We study the effect of loop corrections to conformal correlators on the celestial sphere at null infinity. We first analyze finite 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.

Dates et versions

hal-02959544 , version 1 (06-10-2020)

Identifiants

Citer

Hernán A. González, Andrea Puhm, Francisco Rojas. Loop corrections to celestial amplitudes. Physical Review D, 2020, 102 (12), pp.126027. ⟨10.1103/PhysRevD.102.126027⟩. ⟨hal-02959544⟩
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