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

Scattering of Gravitons and Spinning Massive States from Compact Numerators