Local BCJ numerators for ten-dimensional SYM at one loop
High Energy Physics - Theory
2021-07-28 v2
Abstract
We obtain local numerators satisfying the BCJ color-kinematics duality at one loop for super-Yang-Mills theory in ten dimensions. This is done explicitly for six points via the field-theory limit of the genus-one open superstring correlators for different color orderings, in an analogous manner to an earlier derivation of local BCJ-satisfying numerators at tree level from disk correlators. These results solve an outstanding puzzle from a previous analysis where the six-point numerators did not satisfy the color-kinematics duality.
Cite
@article{arxiv.2102.12943,
title = {Local BCJ numerators for ten-dimensional SYM at one loop},
author = {Elliot Bridges and Carlos R. Mafra},
journal= {arXiv preprint arXiv:2102.12943},
year = {2021}
}
Comments
53 pages, v2: typos removed, references added. Proof of (B.3) included. Extraneous figures at the end of the pdf file are now gone