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

Leonardo de la Cruz; Alexander Kniss; Stefan Weinzierl

doi:10.1016/j.physletb.2017.01.036

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arXiv · 1607.06036

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

Leonardo de la Cruz·Alexander Kniss·Stefan Weinzierl

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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.

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Leonardo de la Cruz, Alexander Kniss, Stefan Weinzierl. 2017-01-19. Relations for Einstein-Yang-Mills amplitudes from the CHY representation. https://doi.org/10.1016/j.physletb.2017.01.036

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