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

Details One-Loop n-Point Helicity Amplitudes in (Self-Dual) Gravity One-Loop n-Point Helicity Amplitudes in (Self-Dual) Gravity

1998-09-21

arxiv.org/abs/hep-th/9809160v2

Phys.Lett.B444:273-283,1998

Physics

High Energy Physics

High Energy Physics - Theory

Latex2e, 13 pages with 2 encapsulated figures. Minor corrections made

Scientific paper

10.1016/S0370-2693(98)01397-5

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 less than or equal to 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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