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Scattering of Gravitons and Spinning Massive States from Compact Numerators

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arxiv 2011.10556 v2 pith:JGSVN7HX submitted 2020-11-20 hep-th gr-qc

classification hep-thgr-qc
keywords amplitudescompactmassivenumeratorsrelationsscatteringspinspinning
verification ladder T0 review T1 audit T2 compute T3 formal
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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.

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  1. HEFT Numerators from Kinematic Algebra

    hep-th 2025-01 conditional novelty 6.0 of 10

    The heavy-mass effective field theory kinematic numerators are derived as the field theory limit of nested commutators of string vertex operators, reproducing and extending earlier fusion-rule results.

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