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.

arXiv comment12 pages, many figures

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Cited by in corpus (12)

• A new gauge-invariant double copy for heavy-mass effective theory
• The double copy for heavy particles
• On the Double Copy for Spinning Matter
• Unraveling conformal gravity amplitudes
• Multi-Quark Colour Decompositions from Unitarity
• Scalar-Graviton Amplitudes
• Positive helicity Einstein-Yang-Mills amplitudes from the Double Copy
• Scattering of Gravitons and Spinning Massive States from Compact Numerators
• The $L_{\infty }$ structure of gauge theories with matter
• Multiparticle solutions to Einstein's equations
• Evaluating EYM amplitudes in four dimensions by refined graphic expansion
• The origin of the KLT relations and nonlinear relations for Yang-Mills amplitudes