On tree amplitudes of supersymmetric Einstein-Yang-Mills theory

Tim Adamo, Eduardo Casali, Kai A. Roehrig, David Skinner
2015 Journal of High Energy Physics  
We present a new formula for all single trace tree amplitudes in four dimensional super Yang-Mills coupled to Einstein supergravity. Like the Cachazo-He-Yuan formula, our expression is supported on solutions of the scattering equations, but with momenta written in terms of spinor helicity variables. Supersymmetry and parity are both manifest. In the pure gravity and pure Yang-Mills sectors, it reduces to the known twistor-string formulae. We show that the formula behaves correctly under
more » ... ation and sketch how these amplitudes may be obtained from a four-dimensional (ambi)twistor string.
doi:10.1007/jhep12(2015)177 fatcat:nh2pvu7y5ndctmtifssybne7pu