Einstein-Yang-Mills from pure Yang-Mills amplitudes

Jul 19, 2016
28 pages
Published in:
  • JHEP 10 (2016) 070
  • Published: Oct 14, 2016
e-Print:
Report number:
  • HU-EP-16-22

Citations per year

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Abstract: (arXiv)
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.
Note:
  • 28 pages, v2: references and appendix added, published version
  • Field Theories in Higher Dimensions
  • Scattering Amplitudes
  • Supersymmetric gauge theory
  • space-time: dimension
  • Einstein-Yang-Mills theory
  • graviton: scattering amplitude
  • gluon: scattering amplitude
  • tree approximation
  • supercharge
  • dilaton