Gravitational quadratic-in-spin Hamiltonian at NNNLO in the post-Newtonian framework
Abstract We present the result of the quadratic-in-spin interaction Hamiltonian for binary systems of rotating compact objects with generic spins, up to N3LO corrections within the post-Newtonian expansion. The calculation is performed by employing the effective field theory diagrammatic approach, a...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2023-07-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP07(2023)128 |
| _version_ | 1797647559465893888 |
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| author | Manoj K. Mandal Pierpaolo Mastrolia Raj Patil Jan Steinhoff |
| author_facet | Manoj K. Mandal Pierpaolo Mastrolia Raj Patil Jan Steinhoff |
| author_sort | Manoj K. Mandal |
| collection | DOAJ |
| description | Abstract We present the result of the quadratic-in-spin interaction Hamiltonian for binary systems of rotating compact objects with generic spins, up to N3LO corrections within the post-Newtonian expansion. The calculation is performed by employing the effective field theory diagrammatic approach, and it involves Feynman integrals up to three loops, evaluated within the dimensional regularization scheme. The gauge-invariant binding energy and the scattering angle, in special kinematic regimes and spin configurations, are explicitly derived. The results extend our earlier study on the spin-orbit interaction effects. |
| first_indexed | 2024-03-11T15:18:16Z |
| format | Article |
| id | doaj.art-879c383a5e114b7f8edefb93437a1c02 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-03-11T15:18:16Z |
| publishDate | 2023-07-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-879c383a5e114b7f8edefb93437a1c022023-10-29T12:06:24ZengSpringerOpenJournal of High Energy Physics1029-84792023-07-012023713710.1007/JHEP07(2023)128Gravitational quadratic-in-spin Hamiltonian at NNNLO in the post-Newtonian frameworkManoj K. Mandal0Pierpaolo Mastrolia1Raj Patil2Jan Steinhoff3INFN, Sezione 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)Abstract We present the result of the quadratic-in-spin interaction Hamiltonian for binary systems of rotating compact objects with generic spins, up to N3LO corrections within the post-Newtonian expansion. The calculation is performed by employing the effective field theory diagrammatic approach, and it involves Feynman integrals up to three loops, evaluated within the dimensional regularization scheme. The gauge-invariant binding energy and the scattering angle, in special kinematic regimes and spin configurations, are explicitly derived. The results extend our earlier study on the spin-orbit interaction effects.https://doi.org/10.1007/JHEP07(2023)128Classical Theories of GravityEffective Field TheoriesScattering AmplitudesBlack Holes |
| spellingShingle | Manoj K. Mandal Pierpaolo Mastrolia Raj Patil Jan Steinhoff Gravitational quadratic-in-spin Hamiltonian at NNNLO in the post-Newtonian framework Journal of High Energy Physics Classical Theories of Gravity Effective Field Theories Scattering Amplitudes Black Holes |
| title | Gravitational quadratic-in-spin Hamiltonian at NNNLO in the post-Newtonian framework |
| title_full | Gravitational quadratic-in-spin Hamiltonian at NNNLO in the post-Newtonian framework |
| title_fullStr | Gravitational quadratic-in-spin Hamiltonian at NNNLO in the post-Newtonian framework |
| title_full_unstemmed | Gravitational quadratic-in-spin Hamiltonian at NNNLO in the post-Newtonian framework |
| title_short | Gravitational quadratic-in-spin Hamiltonian at NNNLO in the post-Newtonian framework |
| title_sort | gravitational quadratic in spin hamiltonian at nnnlo in the post newtonian framework |
| topic | Classical Theories of Gravity Effective Field Theories Scattering Amplitudes Black Holes |
| url | https://doi.org/10.1007/JHEP07(2023)128 |
| work_keys_str_mv | AT manojkmandal gravitationalquadraticinspinhamiltonianatnnnlointhepostnewtonianframework AT pierpaolomastrolia gravitationalquadraticinspinhamiltonianatnnnlointhepostnewtonianframework AT rajpatil gravitationalquadraticinspinhamiltonianatnnnlointhepostnewtonianframework AT jansteinhoff gravitationalquadraticinspinhamiltonianatnnnlointhepostnewtonianframework |