Two-Loop Gravity amplitudes from four dimensional Unitarity

Abstract

We compute the polylogarithmic parts of the two-loop four and five-graviton amplitudes where the external helicities are positive and express these in a simple compact analytic form. We use these to extract the $\ln ({\mu }^2)$ terms from both the four and five-point amplitudes and show that these match the same $R^3$ counterterm.

typo in eq 6.12 corrected

References in corpus (4)

• Direct extraction of one-loop integral coefficients
• On Loop Corrections to Subleading Soft Behavior of Gluons and Gravitons
• On Triple-Cut of Scattering Amplitudes
• Analytic Structure of Three-Mass Triangle Coefficients

Cited by in corpus (2)

• Curvature-Squared Multiplets, Evanescent Effects and the U(1) Anomaly in N = 4 Supergravity
• Graviton Bending in Quantum Gravity from One-Loop Amplitudes