Renormalizing Love: tidal effects at the third post-Newtonian order
Abstract 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 i...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2024-02-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP02(2024)188 |
| _version_ | 1797276116264681472 |
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| author | Manoj K. Mandal Pierpaolo Mastrolia Hector O. Silva Raj Patil Jan Steinhoff |
| author_facet | Manoj K. Mandal Pierpaolo Mastrolia Hector O. Silva Raj Patil Jan Steinhoff |
| author_sort | Manoj K. Mandal |
| collection | DOAJ |
| description | Abstract 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. |
| first_indexed | 2024-03-07T15:23:42Z |
| format | Article |
| id | doaj.art-46f8821dfe39487da31c4ed8a3d1ec09 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-03-07T15:23:42Z |
| publishDate | 2024-02-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-46f8821dfe39487da31c4ed8a3d1ec092024-03-05T17:27:27ZengSpringerOpenJournal of High Energy Physics1029-84792024-02-012024213010.1007/JHEP02(2024)188Renormalizing Love: tidal effects at the third post-Newtonian orderManoj K. Mandal0Pierpaolo Mastrolia1Hector O. Silva2Raj Patil3Jan Steinhoff4Dipartimento di Fisica e Astronomia, Università degli Studi di PadovaDipartimento di Fisica e Astronomia, Università degli Studi di PadovaMax Planck Institute for Gravitational Physics (Albert Einstein Institute)Max Planck Institute for Gravitational Physics (Albert Einstein Institute)Max Planck Institute for Gravitational Physics (Albert Einstein Institute)Abstract 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.https://doi.org/10.1007/JHEP02(2024)188Black HolesEffective Field TheoriesRenormalization and Regularization |
| spellingShingle | Manoj K. Mandal Pierpaolo Mastrolia Hector O. Silva Raj Patil Jan Steinhoff Renormalizing Love: tidal effects at the third post-Newtonian order Journal of High Energy Physics Black Holes Effective Field Theories Renormalization and Regularization |
| title | Renormalizing Love: tidal effects at the third post-Newtonian order |
| title_full | Renormalizing Love: tidal effects at the third post-Newtonian order |
| title_fullStr | Renormalizing Love: tidal effects at the third post-Newtonian order |
| title_full_unstemmed | Renormalizing Love: tidal effects at the third post-Newtonian order |
| title_short | Renormalizing Love: tidal effects at the third post-Newtonian order |
| title_sort | renormalizing love tidal effects at the third post newtonian order |
| topic | Black Holes Effective Field Theories Renormalization and Regularization |
| url | https://doi.org/10.1007/JHEP02(2024)188 |
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