Planar Zeros in Gauge Theories and Gravity
Abstract
Planar zeros are studied in the context of the five-point scattering amplitude for gauge bosons and gravitons. In the case of gauge theories, it is found that planar zeros are determined by an algebraic curve in the projective plane spanned by the three stereographic coordinates labelling the direction of the outgoing momenta. This curve depends on the values of six independent color structures. Considering the gauge group SU(N) with N=2,3,5 and fixed color indices, the class of curves obtained gets broader by increasing the rank of the group. For the five-graviton scattering, on the other hand, we show that the amplitude vanishes whenever the process is planar, without imposing further kinematic conditions. A rationale for this result is provided using color-kinematics duality.
Cite
@article{arxiv.1607.04605,
title = {Planar Zeros in Gauge Theories and Gravity},
author = {Diego Medrano Jimenez and Agustin Sabio Vera and Miguel A. Vazquez-Mozo},
journal= {arXiv preprint arXiv:1607.04605},
year = {2016}
}
Comments
26 pages, 12 figures. v2: minor changes, typos corrected and reference added. It matches the version to appear in Journal of High Energy Physics