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 reduce 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 naïvely expected.
Highlights
We present the analytic form of the two-loop four-graviton scattering amplitudes in Einstein gravity
Scattering amplitudes are ubiquitous in high-energy physics: they connect physical observables and the quantum field theories describing the different forces of nature
By understanding the structure of amplitudes, we can learn about properties of these theories and their physical implications
Summary
Where we suppress terms not relevant for our two-loop calculation such as higher-order operators and those proportional to the equations of motion [1,2,3].
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