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

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arxiv hep-th/9809160 v2 pith:DEI6UWEY submitted 1998-09-21 hep-th

classification hep-th
keywords amplitudesgravityself-dualansatzhelicitymomentaone-loopagrees
verification ladder T0 review T1 audit T2 compute T3 formal

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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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Cited by 3 Pith papers

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