The gyromagnetic factor of charged rotating black holes in various dimensions from scattering amplitudes
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| Format: | Preprint |
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2025
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| _version_ | 1866917256073576448 |
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| author | Gambino, Claudio Riccioni, Fabio Sanchis, Victor Sanz |
| author_facet | Gambino, Claudio Riccioni, Fabio Sanchis, Victor Sanz |
| contents | 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 $\mathfrak{g}$. 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 $\mathfrak{g}=(d-1)/(d-2)$. Hence, only in $3+1$ dimensions minimal coupling is sufficient to describe black holes from scattering amplitudes. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2509_08456 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The gyromagnetic factor of charged rotating black holes in various dimensions from scattering amplitudes Gambino, Claudio Riccioni, Fabio Sanchis, Victor Sanz High Energy Physics - Theory General Relativity and Quantum Cosmology 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 $\mathfrak{g}$. 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 $\mathfrak{g}=(d-1)/(d-2)$. Hence, only in $3+1$ dimensions minimal coupling is sufficient to describe black holes from scattering amplitudes. |
| title | The gyromagnetic factor of charged rotating black holes in various dimensions from scattering amplitudes |
| topic | High Energy Physics - Theory General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2509.08456 |