Tree-level single-trace MHV Einstein-Yang-Mills amplitudes with any number of gravitons are re-expressed as sums of pure gluon Parke-Taylor amplitudes, with each graviton represented by a collinear gluon pair.
Gravitationally dressed Parke-Taylor amplitudes
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A generating function for the Parke-Taylor amplitudes with any number of positive helicity gravitons in addition to the positive helicity gluons is obtained using the recently constructed self-dual classical solution of the type of perturbiner in Yang-Mills theory interacting with gravity.
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Note on single-trace EYM amplitudes with MHV configuration
Tree-level single-trace MHV Einstein-Yang-Mills amplitudes with any number of gravitons are re-expressed as sums of pure gluon Parke-Taylor amplitudes, with each graviton represented by a collinear gluon pair.