Scattering equations and virtuous kinematic numerators and dual-trace functions
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 (tau) 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.
Keywords
Cite
@article{arxiv.1404.7141,
title = {Scattering equations and virtuous kinematic numerators and dual-trace functions},
author = {Stephen G. Naculich},
journal= {arXiv preprint arXiv:1404.7141},
year = {2015}
}
Comments
24 pages; v2: minor sign corrections, added references; v3: minor corrections, published version