Algebras for Amplitudes
High Energy Physics - Theory
2015-06-04 v2
Abstract
Tree-level amplitudes of gauge theories are expressed in a basis of auxiliary amplitudes with only cubic vertices. The vertices in this formalism are explicitly factorized in color and kinematics, clarifying the color-kinematics duality in gauge theory amplitudes. The basis is constructed making use of the KK and BCJ relations, thereby showing precisely how these relations underlie the color-kinematics duality. We express gravity amplitudes in terms of a related basis of color-dressed gauge theory amplitudes, with basis coefficients which are permutation symmetric.
Keywords
Cite
@article{arxiv.1203.0944,
title = {Algebras for Amplitudes},
author = {N. E. J. Bjerrum-Bohr and Poul H. Damgaard and Ricardo Monteiro and Donal O'Connell},
journal= {arXiv preprint arXiv:1203.0944},
year = {2015}
}
Comments
17 pages, 1 figure. v2: published version, example added in appendix