English

New relations for graviton-matter amplitudes

High Energy Physics - Theory 2018-07-18 v1 High Energy Physics - Phenomenology

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.

Keywords

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

R2 v1 2026-06-23T01:35:38.331Z