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.
Graviton as a Pair of Collinear Gauge Bosons
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abstract
We show that the mixed gravitational/gauge superstring amplitudes describing decays of massless closed strings - gravitons or dilatons - into a number of gauge bosons, can be written at the tree (disk) level as linear combinations of pure open string amplitudes in which the graviton (or dilaton) is replaced by a pair of collinear gauge bosons. Each of the constituent gauge bosons carry exactly one half of the original closed string momentum, while their +/- 1 helicities add up to +/- 2 for the graviton or to 0 for the dilaton.
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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.