Scattering of gravitons and spinning massive states from compact numerators

A bstract We provide a new efficient diagrammatic tool, in the context of the scattering equations, for computation of covariant D -dimensional tree-level n -point amplitudes with pairs of spinning massive particles using compact exponential numerators. We discuss how this framework allows non-integer spin extensions of recurrence relations for amplitudes developed for integer spin. Our results facilitate the on-going program for generating observables in classical general relativity from on-shell tree amplitudes through the Kawai-Lewellen-Tye relations and generalized unitarity.