The Two-Loop Four-Graviton Scattering Amplitudes

Abreu, S.; Febres Cordero, F.; Ita, H.; Jaquier, M.; Page, B.; Ruf, M.S.; Sotnikov, V.

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The Two-Loop Four-Graviton Scattering Amplitudes

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Abreu, S.
Max Planck Institute for Physics, Max Planck Society and Cooperation Partners;

Febres Cordero, F.
Max Planck Institute for Physics, Max Planck Society and Cooperation Partners;

Ita, H.
Max Planck Institute for Physics, Max Planck Society and Cooperation Partners;

Jaquier, M.
Max Planck Institute for Physics, Max Planck Society and Cooperation Partners;

Page, B.
Max Planck Institute for Physics, Max Planck Society and Cooperation Partners;

Ruf, M.S.
Max Planck Institute for Physics, Max Planck Society and Cooperation Partners;

Sotnikov, V.
Max Planck Institute for Physics, Max Planck Society and Cooperation Partners;

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Citation

Abreu, S., Febres Cordero, F., Ita, H., Jaquier, M., Page, B., Ruf, M., et al. (2020). The Two-Loop Four-Graviton Scattering Amplitudes. Physical Review Letters, 124, 211601. Retrieved from https://publications.mppmu.mpg.de/?action=search&mpi=MPP-2020-17.

Cite as: https://hdl.handle.net/21.11116/0000-0008-1AC3-F

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.