Loop corrections to celestial amplitudes

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–Ya...

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Bibliographic Details
Published in:Physical review. D 2020-12, Vol.102 (12), p.126027-1, Article 126027
Main Authors: González, Hernán A., Puhm, Andrea, Rojas, Francisco
Format: Article
Language:English
Subjects:
Amplitudes
Celestial sphere
Correlators
General Relativity and Quantum Cosmology
High Energy Physics - Theory
Operators (mathematics)
Physics
Regularization
Star maps
Yang-Mills theory
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Summary: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.
ISSN:2470-0010
2470-0029
DOI:10.1103/PhysRevD.102.126027