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arXiv · 1804.09651

New relations for graviton-matter amplitudes

Jan Plefka·Wadim Wormsbecher
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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.

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Jan Plefka, Wadim Wormsbecher. 2018-04-25. New relations for graviton-matter amplitudes. https://doi.org/10.1103/physrevd.98.026011

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