New relations for graviton-matter amplitudes

Apr 25, 2018
13 pages
Published in:
  • Phys.Rev.D 98 (2018) 2, 026011
  • Published: Jul 10, 2018
e-Print:
Report number:
  • HU-EP-18/13,
  • HU-EP-18-13,
  • CERN-TH-2018-095

Citations per year

201820192020202120222641
Abstract: (APS)
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.
Note:
  • 12 pages, many figures
  • gluon: coupling
  • quantum chromodynamics: scalar
  • gluon: multiplicity
  • coupling: minimal
  • quark: massive
  • gravitation
  • color
  • graviton
  • Einstein-Yang-Mills theory
  • scattering amplitude