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The Two-Loop Four-Graviton Scattering Amplitudes

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arxiv 2002.12374 v2 pith:55TLP47J submitted 2020-02-27 hep-th gr-qchep-ph

S. Abreu , F. Febres Cordero , H. Ita , M. Jaquier , B. Page , M. S. Ruf , V. Sotnikov This is my paper · ORCID
classification hep-thgr-qchep-ph
keywords four-gravitonscatteringtwo-loopamplitudeamplitudesanalyticnumericalalgebraic
verification ladder T0 review T1 audit T2 compute T3 formal
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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.

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Cited by 3 Pith papers

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