The critical ultraviolet behaviour of N=8 supergravity amplitudes

TL;DR

This paper investigates the ultraviolet properties of N=8 supergravity four-graviton amplitudes across all perturbation orders, revealing potential divergences at seven loops and connecting supergravity behavior to gauge theory structures.

Contribution

It provides a detailed analysis of the ultraviolet behavior of N=8 supergravity amplitudes using the Bern-Carrasco-Johansson framework, predicting divergences at seven loops.

Findings

Supergravity ultraviolet behavior linked to gauge theory structures.

Potential seven-loop logarithmic divergence in four dimensions.

Ultraviolet behavior determined by the k^8 R^4 operator.

Abstract

We analyze the critical ultraviolet behaviour of the four-graviton amplitude in N=8 supergravity to all order in perturbation. We use the Bern-Carrasco-Johansson diagrammatic expansion for N=8 supergravity multiloop amplitudes, where numerator factors are squares of the Lorentz factor of N=4 super-Yang-Mills amplitudes, and the analysis of the critical ultraviolet behaviour of the multiloop four-gluon amplitudes in the single- and double-trace sectors. We argue this implies that the superficial ultraviolet behaviour of the four-graviton N=8 amplitudes from four-loop order is determined by the factorization the k^8 R^4 operator. This leads to a seven-loop logarithmic divergence in the four-graviton amplitude in four dimensions.