Twisted Feynman integrals are introduced with graded Symanzik polynomials, classified as exponential periods, and shown to have geometry not inferable from generalized Baikov leading singularities.
Hidden simplicity in the scattering for neutron stars and black holes
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abstract
Heavy particle effective theory applied to spinning black holes provides a natural framework in which propagators linearize and numerators exponentiate. In this work, we exploit these two features to introduce Kerr generating functions, which describe the scattering of any probe on a Kerr black hole background to all loop orders. These generating functions can be used to perform the tensor reduction of multi-loop integrands simply by differentiation with respect to the spin. As a first application of the Kerr generating functions, we study the leading non-linear tidal effects of a neutron star in a Kerr black hole background. We organize the integrand by the helicity configuration of the exchanged gravitons and provide compact all-loop-order results for several helicity sectors and a full four-loop $\mathcal{O}(G^5)$ result for the leading non-linear tidal operators.
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Weak-field limits of Schwarzschild, Kerr, RN, and KN black hole metrics are reproduced from three-point amplitudes with exponential spin structure via the KMOC formula by extracting momentum impulses and matching to geodesics.
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Twisted Feynman Integrals: from generating functions to spin-resummed post-Minkowskian dynamics
Twisted Feynman integrals are introduced with graded Symanzik polynomials, classified as exponential periods, and shown to have geometry not inferable from generalized Baikov leading singularities.
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Weak-Field Limits of Black Hole Metrics from the KMOC formalism: Schwarzschild, Kerr, Reissner-Nordstr\"om, and Kerr-Newman
Weak-field limits of Schwarzschild, Kerr, RN, and KN black hole metrics are reproduced from three-point amplitudes with exponential spin structure via the KMOC formula by extracting momentum impulses and matching to geodesics.