Factorized soft graviton theorems at loop level
Abstract
We analyze the low-energy behavior of scattering amplitudes involving gravitons at loop level in four dimensions. The single-graviton soft limit is controlled by soft operators which have been argued to separate into a factorized piece and a non-factorizing infrared divergent contribution. In this note we show that the soft operators responsible for the factorized contributions are strongly constrained by gauge and Poincare invariance under the assumption of a local structure. We show that the leading and subleading orders in the soft-momentum expansion can not receive radiative corrections. The first radiative correction occurs for the sub-subleading soft graviton operator and is one-loop exact. It depends on only two undetermined coefficients which should reflect the field content of the theory under consideration.
Cite
@article{arxiv.1411.2230,
title = {Factorized soft graviton theorems at loop level},
author = {Johannes Broedel and Marius de Leeuw and Jan Plefka and Matteo Rosso},
journal= {arXiv preprint arXiv:1411.2230},
year = {2014}
}
Comments
15 pages, 1 figure