Conservative scattering of Reissner-Nordström black holes at third post-Minkowskian order

A bstract Using a recently developed effective field theory formalism for extreme mass ratios arXiv:2308.14832, we present a calculation of charged black hole scattering at third post-Minkowskian order. The charges and masses are kept arbitrary, and the result interpolates from the scattering of Sch...

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Bibliographic Details
Published in:The journal of high energy physics 2024-05, Vol.2024 (5), p.265-29, Article 265
Main Author: Wilson-Gerow, Jordan
Format: Article
Language:English
Subjects:
Approximation
Black Holes
Charged particles
Classical and Quantum Gravitation
Efective Field Theories
Effective Field Theories
Electrodynamics
Elementary Particles
Field theory
Gravitational waves
Mass ratios
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Regular Article - Theoretical Physics
Relativity Theory
Scattering
Spacetime
String Theory
Theory of relativity
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Summary:A bstract Using a recently developed effective field theory formalism for extreme mass ratios arXiv:2308.14832, we present a calculation of charged black hole scattering at third post-Minkowskian order. The charges and masses are kept arbitrary, and the result interpolates from the scattering of Schwarzschild to extremal charged black holes, and beyond to charged particles in electrodynamics — agreeing with previously reported results in all such limits. The computation of the radial action is neatly organized in powers of the mass ratio. The probe (0SF) contributions are readily computed by direct integration of the radial momentum, and we use the effective field theory to compute the subleading (1SF) contributions via background-field Feynman rules supplemented by an operator encoding recoil of the background. Together these contributions completely determine the conservative physics at order O G 3 .
ISSN:1029-8479
1029-8479
DOI:10.1007/JHEP05(2024)265