Abstract
The goal of this work is threefold. First, we give an expression of the most general five point integral on \( {\mathrm{\mathcal{M}}}_{0,n} \) in terms of Chebyshev polynomials. Second, we choose a special kinematics that transforms the polynomial form of the scattering equations to a linear system of symmetric polynomials. We then explain how this can be used to explicitly evaluate arbitrary point integrals on \( {\mathrm{\mathcal{M}}}_{0,n} \). Third, we comment on the recently presented method of companion matrices and we show its equivalence to the elimination theory and an algorithm previously developed by one of the authors.
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Cardona, C., Kalousios, C. Comments on the evaluation of massless scattering. J. High Energ. Phys. 2016, 178 (2016). https://doi.org/10.1007/JHEP01(2016)178
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DOI: https://doi.org/10.1007/JHEP01(2016)178