Explicit BCJ numerators of nonlinear sigma model
High Energy Physics - Theory
2016-11-01 v2 High Energy Physics - Phenomenology
Abstract
In this paper, we investigate the color-kinematics duality in nonlinear sigma model (NLSM). We present explicit polynomial expressions for the kinematic numerators (BCJ numerators). The calculation is done separately in two parametrization schemes of the theory using Kawai-Lewellen-Tye relation inspired technique, both lead to polynomial numerators. We summarize the calculation in each case into a set of rules that generates BCJ numerators for all multilplicities. In Cayley parametrization we find the numerator is described by a particularly simple formula solely in terms of momentum kernel.
Cite
@article{arxiv.1606.05846,
title = {Explicit BCJ numerators of nonlinear sigma model},
author = {Yi-Jian Du and Chih-Hao Fu},
journal= {arXiv preprint arXiv:1606.05846},
year = {2016}
}
Comments
32 pages, 2 figures; v2: typos fixed, references added, matches published version