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Two-Loop Four-Gluon Amplitudes from Numerical Unitarity.

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We present the first numerical computation of two-loop amplitudes based on the unitarity method. As a proof of principle, we compute the four-gluon process in the leading-color approximation. We discuss… Click to show full abstract

We present the first numerical computation of two-loop amplitudes based on the unitarity method. As a proof of principle, we compute the four-gluon process in the leading-color approximation. We discuss the new method, analyze its numerical properties, and apply it to reconstruct the analytic form of the amplitudes. The numerical method is universal, and can be automated to provide multiscale two-loop computations for phenomenologically relevant signatures at hadron colliders.

Keywords: four gluon; two loop; gluon amplitudes; loop four; amplitudes numerical

Journal Title: Physical review letters
Year Published: 2017

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