Abstract
Inspired by recent developments on scattering equations, we present a constructive procedure for computing symmetric, amplitude-encoded, BCJ numerators for n-point gauge-theory amplitudes, thus satisfying the three virtues identified by Broedel and Carrasco. We also develop a constructive procedure for computing symmetric, amplitude-encoded dual-trace functions τ for n-point amplitudes. These can be used to obtain symmetric kinematic numerators that automatically satisfy color-kinematic duality. The S n symmetry of n-point gravity amplitudes formed from these symmetric dual-trace functions is completely manifest. Explicit expressions for four- and five-point amplitudes are presented.
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ArXiv ePrint: 1404.7141
Research supported in part by the National Science Foundation under Grant No. PHY10-67961. (Stephen G. Naculich)
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Naculich, S.G. Scattering equations and virtuous kinematic numerators and dual-trace functions. J. High Energ. Phys. 2014, 143 (2014). https://doi.org/10.1007/JHEP07(2014)143
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DOI: https://doi.org/10.1007/JHEP07(2014)143