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arXiv · 1712.03946

Planar Two-Loop Five-Gluon Amplitudes from Numerical Unitarity

Samuel Abreu·Fernando Febres Cordero·Harald Ita·Ben Page·Mao Zeng
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Abstract

We present a calculation of the planar two-loop five-gluon amplitudes. The amplitudes are obtained in a variant of the generalized unitarity approach suitable for numerical computations, which we extend for use with finite field arithmetics. Employing a new method for the generation of unitarity-compatible integration-by-parts identities, all helicity amplitudes are reduced to a linear combination of master integrals for the first time. The approach allows us to compute exact values for the integral coefficients at rational phase-space points. All required master integrals are known analytically, and we obtain arbitrary-precision values for the amplitudes.

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Samuel Abreu, Fernando Febres Cordero, Harald Ita, Ben Page, Mao Zeng. 2017-12-18. Planar Two-Loop Five-Gluon Amplitudes from Numerical Unitarity. https://doi.org/10.1103/physrevd.97.116014

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