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arXiv · 1508.06557

The CHY representation of tree-level primitive QCD amplitudes

Leonardo de la Cruz·Alexander Kniss·Stefan Weinzierl
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Abstract

In this paper we construct a CHY representation for all tree-level primitive QCD amplitudes. The quarks may be massless or massive. We define a generalised cyclic factor $\hat{C}(w,z)$ and a generalised permutation invariant function $\hat{E}(z,p,\varepsilon)$. The amplitude is then given as a contour integral encircling the solutions of the scattering equations with the product $\hat{C} \hat{E}$ as integrand. Equivalently, it is given as a sum over the inequivalent solutions of the scattering equations, where the summand consists of a Jacobian times the product $\hat{C} \hat{E}$. This representation separates information: The generalised cyclic factor does not depend on the helicities of the external particles, the generalised permutation invariant function does not depend on the ordering of the external particles.

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Leonardo de la Cruz, Alexander Kniss, Stefan Weinzierl. 2015-10-15. The CHY representation of tree-level primitive QCD amplitudes. https://doi.org/10.1007/jhep11(2015)217

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