Tidal effects and renormalization at fourth post-Minkowskian order
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| Main Authors: | , , , |
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| Format: | Preprint |
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2023
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| _version_ | 1866909216890945536 |
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| author | Jakobsen, Gustav Uhre Mogull, Gustav Plefka, Jan Sauer, Benjamin |
| author_facet | Jakobsen, Gustav Uhre Mogull, Gustav Plefka, Jan Sauer, Benjamin |
| contents | We determine the adiabatic tidal contributions to the radiation reacted momentum impulse $Δp_i^μ$ and scattering angle $θ$ between two scattered massive bodies (neutron stars) at next-to-next-to-leading post-Minkowskian (PM) order. The state-of-the-art three-loop (4PM) worldline quantum field theory toolkit using dimensional regularization is employed to establish the classical observables. We encounter divergent terms in the gravito-electric and gravito-magnetic quadrupolar sectors necessitating the addition of post-adiabatic counterterms in this classical theory. This leads us to include also the leading post-adiabatic tidal contributions to the observables. The resulting renormalization group flow of the associated post-adiabatic Love numbers is established and shown to agree with a recent gravito-electric third post-Newtonian analysis in the non-relativistic limit. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2312_00719 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Tidal effects and renormalization at fourth post-Minkowskian order Jakobsen, Gustav Uhre Mogull, Gustav Plefka, Jan Sauer, Benjamin High Energy Physics - Theory General Relativity and Quantum Cosmology We determine the adiabatic tidal contributions to the radiation reacted momentum impulse $Δp_i^μ$ and scattering angle $θ$ between two scattered massive bodies (neutron stars) at next-to-next-to-leading post-Minkowskian (PM) order. The state-of-the-art three-loop (4PM) worldline quantum field theory toolkit using dimensional regularization is employed to establish the classical observables. We encounter divergent terms in the gravito-electric and gravito-magnetic quadrupolar sectors necessitating the addition of post-adiabatic counterterms in this classical theory. This leads us to include also the leading post-adiabatic tidal contributions to the observables. The resulting renormalization group flow of the associated post-adiabatic Love numbers is established and shown to agree with a recent gravito-electric third post-Newtonian analysis in the non-relativistic limit. |
| title | Tidal effects and renormalization at fourth post-Minkowskian order |
| topic | High Energy Physics - Theory General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2312.00719 |