Einstein-Yang-Mills from pure Yang-Mills amplitudes

Understand

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.