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• W2044586603 abstract "This paper investigates how tree-level amplitudes with massless quarks, gluons and/or massless scalars transforming under a single copy of the gauge group can be expressed in the context of the scattering equations as a sum over the inequivalent solutions of the scattering equations. In the case where the amplitudes satisfy cyclic invariance, KK- and BCJ-relations the only modification is the generalisation of the permutation invariant function E(z, p, ε). We present a method to compute the modified Ê(z, p, ε). The most important examples are tree amplitudes in $$ mathcal{N}=4 $$ SYM and QCD amplitudes with one quark-antiquark pair and an arbitrary number of gluons. QCD amplitudes with two or more quark-antiquark pairs do not satisfy the BCJ-relations and require in addition a generalisation of the Parke-Taylor factors C σ(z). The simplest case of the QCD tree-level four-point amplitude with two quark-antiquark pairs is discussed explicitly." @default.
• W2044586603 created "2016-06-24" @default.
• W2044586603 creator A5086865615 @default.
• W2044586603 date "2015-03-01" @default.
• W2044586603 modified "2023-10-14" @default.
• W2044586603 title "Fermions and the scattering equations" @default.
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• W2044586603 doi "https://doi.org/10.1007/jhep03(2015)141" @default.
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