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High Energy Physics - Theory

arXiv:1606.05846 (hep-th)
[Submitted on 19 Jun 2016 (v1), last revised 30 Oct 2016 (this version, v2)]

Title:Explicit BCJ numerators of nonlinear sigma model

Authors:Yi-Jian Du, Chih-Hao Fu
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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.
Comments: 32 pages, 2 figures; v2: typos fixed, references added, matches published version
Subjects: High Energy Physics - Theory (hep-th); High Energy Physics - Phenomenology (hep-ph)
Cite as: arXiv:1606.05846 [hep-th]
  (or arXiv:1606.05846v2 [hep-th] for this version)
  https://doi.org/10.48550/arXiv.1606.05846

Submission history

From: Chih-Hao Fu [view email]
[v1] Sun, 19 Jun 2016 09:01:20 UTC (381 KB)
[v2] Sun, 30 Oct 2016 11:52:48 UTC (380 KB)
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