Einstein-Yang-Mills from pure Yang-Mills amplitudes

Nandan, Dhritiman; Plefka, Jan; Schlotterer, Oliver; Wen, Congkao

doi:10.1007/JHEP10(2016)070

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Einstein-Yang-Mills from pure Yang-Mills amplitudes

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Schlotterer, Oliver
Quantum Gravity and Unified Theories, AEI Golm, MPI for Gravitational Physics, Max Planck Society;

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1607.05701.pdf
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Citation

Nandan, D., Plefka, J., Schlotterer, O., & Wen, C. (2016). Einstein-Yang-Mills from pure Yang-Mills amplitudes. Journal of High Energy Physics, 2016(10): 070, pp. 1-29. doi:10.1007/JHEP10(2016)070.

Cite as: https://hdl.handle.net/11858/00-001M-0000-002B-5F9E-9

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.