On tree amplitudes of supersymmetric Einstein-Yang-Mills theory

Abstract

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 factorization and sketch how these amplitudes may be obtained from a four-dimensional (ambi)twistor string.

14 pages, no figures. v2: erroneous formulae removed, improved discussion of factorization

References in corpus (4)

• Scattering Equations and Matrices: From Einstein To Yang-Mills, DBI and NLSM
• Ambitwistor strings in 4-dimensions
• Gravity from Rational Curves
• A Direct Proof of BCFW Recursion for Twistor-Strings

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• Polynomial reduction and evaluation of tree- and loop-level CHY amplitudes
• Chiral Splitting and $\mathcal{N}=4$ Einstein--Yang--Mills Tree Amplitudes in 4d
• The Algebraic Structure of the KLT Relations for Gauge and Gravity Tree Amplitudes
• Rescattering effects on spin-interference for ${\rho }^0$ photoproduction in heavy-ion collisions