# Two-Loop Gravity amplitudes from four dimensional Unitarity

## TL;DR

This paper calculates specific two-loop four- and five-graviton scattering amplitudes in four-dimensional gravity, providing compact analytic expressions and confirming the consistency of counterterms through logarithmic term analysis.

## Contribution

It presents new compact analytic formulas for two-loop graviton amplitudes and verifies the matching of counterterms via logarithmic term extraction.

## Key findings

- Derived simple analytic forms for two-loop graviton amplitudes
- Confirmed the consistency of the $R^3$ counterterm across different amplitudes
- Matched $ ext{ln}( ext{ extmu}^2)$ terms with theoretical expectations

## 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.