Classical Spin Gravitational Compton Scattering

Abstract

We introduce a novel bootstrap method for classical Compton scattering amplitudes involving two massless gluon/graviton particles and two arbitrary-spin infinite-mass particles in a heavy-mass effective field theory context. Using a suitable ansatz, we deduce new and explicit classical spin results for gluon four and five-point infinite mass processes that exhibit exponentiated three-point factorizations to all orders in spin and feature no spurious poles. We discuss the generalization of our bootstrap to higher multiplicities and summarize future potential applications.

To be published in JHEP

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• Visions in Quantum Gravity
• Bootstrapping spinning two body problem in dynamical Chern-Simons gravity using worldline QFT
• The spinning self-force EFT: 1SF waveform recursion relation and Compton scattering
• The gravitational Compton amplitude from flat and curved spacetimes at second post-Minkowskian order
• Classical Observables using Exponentiated Spin factors: Electromagnetic Scattering
• Color-Kinematic Numerators for Fermion Compton Amplitudes