Renormalizing Love: tidal effects at the third post-Newtonian order
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arXiv
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| Autores principales: | , , , , |
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| Formato: | Preprint |
| Publicado: |
2023
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| _version_ | 1866913245055418368 |
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| author | Mandal, Manoj K. Mastrolia, Pierpaolo Silva, Hector O. Patil, Raj Steinhoff, Jan |
| author_facet | Mandal, Manoj K. Mastrolia, Pierpaolo Silva, Hector O. Patil, Raj Steinhoff, Jan |
| contents | We present the conservative effective two-body Hamiltonian at the third order in the post-Newtonian expansion with gravitoelectric quadrupolar dynamical tidal-interactions. Our derivation of the effective two-body Lagrangian is based on the diagrammatic effective field theory approach and it involves Feynman integrals up to three loops, which are evaluated within the dimensional regularization scheme. The elimination of the divergent terms occurring in the effective Lagrangian requires the addition of counterterms to ensure finite observables, thereby introducing a renormalization group flow to the post-adiabatic Love number. As a limiting case of the renormalized dynamical effective Hamiltonian, we also derive the effective Hamiltonian for adiabatic tides, and, in this regime, calculate the binding energy for a circular orbit, and the scattering angle in a hyperbolic scattering. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2308_01865 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Renormalizing Love: tidal effects at the third post-Newtonian order Mandal, Manoj K. Mastrolia, Pierpaolo Silva, Hector O. Patil, Raj Steinhoff, Jan High Energy Physics - Theory High Energy Astrophysical Phenomena General Relativity and Quantum Cosmology We present the conservative effective two-body Hamiltonian at the third order in the post-Newtonian expansion with gravitoelectric quadrupolar dynamical tidal-interactions. Our derivation of the effective two-body Lagrangian is based on the diagrammatic effective field theory approach and it involves Feynman integrals up to three loops, which are evaluated within the dimensional regularization scheme. The elimination of the divergent terms occurring in the effective Lagrangian requires the addition of counterterms to ensure finite observables, thereby introducing a renormalization group flow to the post-adiabatic Love number. As a limiting case of the renormalized dynamical effective Hamiltonian, we also derive the effective Hamiltonian for adiabatic tides, and, in this regime, calculate the binding energy for a circular orbit, and the scattering angle in a hyperbolic scattering. |
| title | Renormalizing Love: tidal effects at the third post-Newtonian order |
| topic | High Energy Physics - Theory High Energy Astrophysical Phenomena General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2308.01865 |