[SLAC] [SLAC Pubs and Reports]

SLAC-PUB-7953
One-Loop n-Point Helicity Amplitudes in (Self-Dual) Gravity

Abstract

We present an ansatz for all one-loop amplitudes in pure Einstein gravity for which the $n$ external gravitons have the same outgoing helicity. These loop amplitudes, which are rational functions of the momenta, also arise in the quantization of self-dual gravity in four-dimensional Minkowski space. Our ansatz agrees with explicit computations via $D$-dimensional unitarity cuts for $n \leq 6$. It also has the expected analytic behavior, for all $n$, as a graviton becomes soft, and as two momenta become collinear. The gravity results are closely related to analogous amplitudes in (self-dual) Yang-Mills theory.

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