The Two-Loop Four-Graviton Scattering Amplitudes
High Energy Physics - Theory
2020-06-24 v1 General Relativity and Quantum Cosmology
High Energy Physics - Phenomenology
Abstract
We present the analytic form of the two-loop four-graviton scattering amplitudes in Einstein gravity. To remove ultraviolet divergences we include counterterms quadratic and cubic in the Riemann curvature tensor. The two-loop numerical unitarity approach is used to deal with the challenging momentum dependence of the interactions. We exploit the algebraic properties of the integrand of the amplitude in order to map it to a minimal basis of Feynman integrals. Analytic expressions are obtained from numerical evaluations of the amplitude. Finally, we show that four-graviton scattering observables depend on fewer couplings than naively expected.
Cite
@article{arxiv.2002.12374,
title = {The Two-Loop Four-Graviton Scattering Amplitudes},
author = {S. Abreu and F. Febres Cordero and H. Ita and M. Jaquier and B. Page and M. S. Ruf and V. Sotnikov},
journal= {arXiv preprint arXiv:2002.12374},
year = {2020}
}
Comments
5 pages, 1 figure