Comments on the evaluation of massless scattering
Carlos A. Cardona, Chrysostomos Kalousios · Journal of High Energy Physics · 2016
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.