2025/09/10 by Claudio Gambino, Gambino, Claudio, Fabio Riccioni +3
Physics and Astronomy · #Black Holes and Theoretical Physics #Astrophysical Phenomena and Observations #Quantum Electrodynamics and Casimir Effect
paper · pdf · doi:10.48550/arxiv.2509.08456
Classical black hole spacetimes can be recovered from the classical limit of quantum scattering amplitudes in a low-energy effective field theory of gravity. In this work we compute, at first post-Minkowskian and dipole order, the metric and the electromagnetic potential for charged and rotating black holes in general spacetime dimensions from amplitudes describing the emission of either a graviton or a photon from a massive and charged Dirac fermion field up to one loop. In addition, we introduce a Pauli non-minimal coupling, to parametrize the black hole's gyromagnetic factor \mathfrakg. We are able to reproduce the Kerr-Newman solution in four dimensions, as well as the Chong-Cvetič-Lü-Pope solution, from five-dimensional supergravity, which includes a Chern-Simons interaction. Crucially, we show that for a charged Myers-Perry like black hole in d+1 spacetime dimensions, its gyromagnetic factor is equal to \mathfrakg=(d-1)/(d-2). Hence, only in 3+1 dimensions minimal coupling is sufficient to describe black holes from scattering amplitudes.