Planar Two-Loop Five-Gluon Amplitudes from Numerical Unitarity
High Energy Physics - Phenomenology
2018-06-27 v2 High Energy Physics - Theory
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.
Cite
@article{arxiv.1712.03946,
title = {Planar Two-Loop Five-Gluon Amplitudes from Numerical Unitarity},
author = {Samuel Abreu and Fernando Febres Cordero and Harald Ita and Ben Page and Mao Zeng},
journal= {arXiv preprint arXiv:1712.03946},
year = {2018}
}
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