New relations for graviton-matter amplitudes
Abstract
We present new relations for scattering amplitudes of color ordered gluons, massive quarks and scalars minimally coupled to gravity. Tree-level amplitudes of arbitrary matter and gluon multiplicities involving one graviton are reduced to partial amplitudes in QCD or scalar QCD. The obtained relations are a direct generalization of the recently found Einstein-Yang-Mills relations. The proof of the new relation employs a simple diagrammatic argument trading the graviton-matter couplings to an `upgrade' of a gluon coupling with a color-kinematic replacement rule enforced. The use of the Melia-Johansson-Ochirov color basis is a key element of the reduction. We comment on the generalization to multiple gravitons in the single color trace case.
Cite
@article{arxiv.1804.09651,
title = {New relations for graviton-matter amplitudes},
author = {Jan Plefka and Wadim Wormsbecher},
journal= {arXiv preprint arXiv:1804.09651},
year = {2018}
}
Comments
12 pages, many figures