Scattering of Gravitons and Spinning Massive States from Compact Numerators

Abstract

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.

32 pages, 5 figures, version to be published in JHEP

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Cited by in corpus (12)

• Compton Black-Hole Scattering for $s\le 5/2$
• Classical Solutions and their Double Copy in Split Signature
• Post-Minkowskian Radial Action from Soft Limits and Velocity Cuts
• Generalizations of the Double-Copy: the KLT Bootstrap
• Classical Spin Gravitational Compton Scattering
• Classical Limit of Higher-Spin String Amplitudes
• Effective Field Theories and Cosmological Scattering Equations
• Bootstrapping spinning two body problem in dynamical Chern-Simons gravity using worldline QFT
• Color-Kinematic Numerators for Fermion Compton Amplitudes
• Next-to-MHV Yang-Mills kinematic algebra
• NS-NS Spacetimes from Amplitudes
• A Novel On-Shell Recursive Relation