Relations for Einstein-Yang-Mills amplitudes from the CHY representation

Abstract

We show that a recently discovered relation, which expresses tree-level single trace Einstein-Yang-Mills amplitudes with one graviton and $(n-1)$ gauge bosons as a linear combination of pure Yang-Mills tree amplitudes with $n$ gauge bosons, can be derived from the CHY representation. In addition we show that there is a generalisation, which expresses tree-level single trace Einstein-Yang-Mills amplitudes with $r$ gravitons and $(n-r)$ gauge bosons as a linear combination of pure Yang-Mills tree amplitudes with $n$ gauge bosons. We present a general formula for this case.

13 pages, version to be published

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Cited by in corpus (6)

• Extended solutions for the biadjoint scalar field
• Expansion of All Multitrace Tree Level EYM Amplitudes
• Collinear limits beyond the leading order from the scattering equations
• Positive helicity Einstein-Yang-Mills amplitudes from the Double Copy
• Direct Evaluation of $n$-point single-trace MHV amplitudes in 4d Einstein-Yang-Mills theory using the CHY Formalism
• Chiral Splitting and $\mathcal{N}=4$ Einstein--Yang--Mills Tree Amplitudes in 4d