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arXiv · 1607.05701

Einstein-Yang-Mills from pure Yang-Mills amplitudes

Dhritiman Nandan·Jan Plefka·Oliver Schlotterer·Congkao Wen
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Abstract

We present new relations for scattering amplitudes of color ordered gluons and gravitons in Einstein-Yang-Mills theory. Tree-level amplitudes of arbitrary multiplicities and polarizations involving up to three gravitons and up to two color traces are reduced to partial amplitudes of pure Yang-Mills theory. In fact, the double-trace identities apply to Einstein-Yang-Mills extended by a dilaton and a B-field. Our results generalize recent work of Stieberger and Taylor for the single graviton case with a single color trace. As the derivation is made in the dimension-agnostic Cachazo-He-Yuan formalism, our results are valid for external bosons in any number of spacetime dimensions. Moreover, they generalize to the superamplitudes in theories with 16 supercharges.

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Dhritiman Nandan, Jan Plefka, Oliver Schlotterer, Congkao Wen. 2017-01-23. Einstein-Yang-Mills from pure Yang-Mills amplitudes. https://doi.org/10.1007/jhep10(2016)070

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