{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,27]],"date-time":"2026-03-27T02:37:42Z","timestamp":1774579062290,"version":"3.50.1"},"reference-count":98,"publisher":"Springer Science and Business Media LLC","issue":"5","license":[{"start":{"date-parts":[[2025,5,2]],"date-time":"2025-05-02T00:00:00Z","timestamp":1746144000000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0"},{"start":{"date-parts":[[2025,5,2]],"date-time":"2025-05-02T00:00:00Z","timestamp":1746144000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["J. High Energ. Phys."],"abstract":"<jats:title>A<jats:sc>bstract<\/jats:sc>\n          <\/jats:title>\n          <jats:p>We present the analytical evaluation of the gravitational energy and angular momentum flux with tidal effects for inspiraling compact binaries, at the next-to-next-to-leading post-Newtonian (2PN) order, within the diagrammatic Effective Field Theory approach. We first compute the stress-energy tensor for a binary system, which requires the evaluation of two-point Feynman integrals, up to two loops. Then we extract the multipole moments of the system, which we present for generic orbits in center-of-mass coordinates, and which are needed to evaluate the total gravitational energy and the angular momentum flux for generic orbits. Finally, we provide the expressions for gauge invariant quantities for circular orbits, such as the fluxes, mode amplitudes, and phase of the emitted gravitational wave. Our results are useful for updating previous theoretical studies, as well as related phenomenological analyses and waveform models.<\/jats:p>","DOI":"10.1007\/jhep05(2025)008","type":"journal-article","created":{"date-parts":[[2025,5,5]],"date-time":"2025-05-05T10:51:31Z","timestamp":1746442291000},"update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":6,"title":["Radiating Love: adiabatic tidal fluxes and modes up to next-to-next-to-leading post-Newtonian order"],"prefix":"10.1007","volume":"2025","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-0850-7685","authenticated-orcid":false,"given":"Manoj K.","family":"Mandal","sequence":"first","affiliation":[{"id":[{"id":"https:\/\/ror.org\/00240q980","id-type":"ROR","asserted-by":"publisher"}],"name":"Universit\u00e0 degli Studi di Padova"},{"id":[{"id":"https:\/\/ror.org\/00z34yn88","id-type":"ROR","asserted-by":"publisher"}],"name":"INFN, Sezione di Padova"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-9711-7798","authenticated-orcid":false,"given":"Pierpaolo","family":"Mastrolia","sequence":"additional","affiliation":[{"id":[{"id":"https:\/\/ror.org\/00240q980","id-type":"ROR","asserted-by":"publisher"}],"name":"Universit\u00e0 degli Studi di Padova"},{"id":[{"id":"https:\/\/ror.org\/00z34yn88","id-type":"ROR","asserted-by":"publisher"}],"name":"INFN, Sezione di Padova"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-7055-0345","authenticated-orcid":false,"given":"Raj","family":"Patil","sequence":"additional","affiliation":[{"id":[{"id":"https:\/\/ror.org\/03sry2h30","id-type":"ROR","asserted-by":"publisher"}],"name":"Max Planck Institute for Gravitational Physics (Albert Einstein Institute)"},{"id":[{"id":"https:\/\/ror.org\/01hcx6992","id-type":"ROR","asserted-by":"publisher"}],"name":"Humboldt-Universit \u00e4t zu Berlin"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-1614-0214","authenticated-orcid":false,"given":"Jan","family":"Steinhoff","sequence":"additional","affiliation":[{"id":[{"id":"https:\/\/ror.org\/03sry2h30","id-type":"ROR","asserted-by":"publisher"}],"name":"Max Planck Institute for Gravitational Physics (Albert Einstein Institute)"}]}],"member":"297","published-online":{"date-parts":[[2025,5,2]]},"reference":[{"key":"26083_CR1","unstructured":"KAGRA et al. collaborations, GWTC-3: compact binary coalescences observed by LIGO and Virgo during the second part of the third observing run, Phys. Rev. X 13 (2023) 041039 [arXiv:2111.03606] [INSPIRE]."},{"key":"26083_CR2","doi-asserted-by":"crossref","unstructured":"LIGO Scientific collaboration, Advanced LIGO, Class. Quant. Grav. 32 (2015) 074001 [arXiv:1411.4547] [INSPIRE].","DOI":"10.1088\/0264-9381\/32\/7\/074001"},{"key":"26083_CR3","unstructured":"VIRGO collaboration, Advanced Virgo: a second-generation interferometric gravitational wave detector, Class. Quant. Grav. 32 (2015) 024001 [arXiv:1408.3978] [INSPIRE]."},{"key":"26083_CR4","unstructured":"KAGRA collaboration, Overview of KAGRA: calibration, detector characterization, physical environmental monitors, and the geophysics interferometer, PTEP 2021 (2021) 05A102 [arXiv:2009.09305] [INSPIRE]."},{"key":"26083_CR5","doi-asserted-by":"crossref","unstructured":"M. Saleem et al., The science case for LIGO-India, Class. Quant. Grav. 39 (2022) 025004 [arXiv:2105.01716] [INSPIRE].","DOI":"10.1088\/1361-6382\/ac3b99"},{"key":"26083_CR6","unstructured":"LIGO Scientific collaboration, Exploring the sensitivity of next generation gravitational wave detectors, Class. Quant. Grav. 34 (2017) 044001 [arXiv:1607.08697] [INSPIRE]."},{"key":"26083_CR7","unstructured":"M. Punturo et al., The third generation of gravitational wave observatories and their science reach, Class. Quant. Grav. 27 (2010) 084007 [INSPIRE]."},{"key":"26083_CR8","unstructured":"A. Abac et al., The science of the Einstein telescope, arXiv:2503.12263 [INSPIRE]."},{"key":"26083_CR9","unstructured":"LISA collaboration, Laser Interferometer Space Antenna, arXiv:1702.00786 [INSPIRE]."},{"key":"26083_CR10","unstructured":"LIGO Scientific and Virgo collaborations, GW170817: observation of gravitational waves from a binary neutron star inspiral, Phys. Rev. Lett. 119 (2017) 161101 [arXiv:1710.05832] [INSPIRE]."},{"key":"26083_CR11","unstructured":"LIGO Scientific et al. collaborations, Multi-messenger observations of a binary neutron star merger, Astrophys. J. Lett. 848 (2017) L12 [arXiv:1710.05833] [INSPIRE]."},{"key":"26083_CR12","unstructured":"LIGO Scientific and Virgo collaborations, GW190425: observation of a compact binary coalescence with total mass 3.4M\u2299, Astrophys. J. Lett. 892 (2020) L3 [arXiv:2001.01761] [INSPIRE]."},{"key":"26083_CR13","doi-asserted-by":"crossref","unstructured":"E.E. Flanagan and T. Hinderer, Constraining neutron star tidal Love numbers with gravitational wave detectors, Phys. Rev. D 77 (2008) 021502 [arXiv:0709.1915] [INSPIRE].","DOI":"10.1103\/PhysRevD.77.021502"},{"key":"26083_CR14","unstructured":"LIGO Scientific and Virgo collaborations, Properties of the binary neutron star merger GW170817, Phys. Rev. X 9 (2019) 011001 [arXiv:1805.11579] [INSPIRE]."},{"key":"26083_CR15","unstructured":"LIGO Scientific and Virgo collaborations, GW170817: measurements of neutron star radii and equation of state, Phys. Rev. Lett. 121 (2018) 161101 [arXiv:1805.11581] [INSPIRE]."},{"key":"26083_CR16","doi-asserted-by":"publisher","first-page":"109","DOI":"10.1007\/s10714-020-02754-3","volume":"52","author":"K Chatziioannou","year":"2020","unstructured":"K. Chatziioannou, Neutron star tidal deformability and equation of state constraints, Gen. Rel. Grav. 52 (2020) 109 [arXiv:2006.03168] [INSPIRE].","journal-title":"Gen. Rel. Grav."},{"key":"26083_CR17","doi-asserted-by":"crossref","unstructured":"B.K. Pradhan, A. Vijaykumar and D. Chatterjee, Impact of updated multipole Love numbers and f-Love universal relations in the context of binary neutron stars, Phys. Rev. D 107 (2023) 023010 [arXiv:2210.09425] [INSPIRE].","DOI":"10.1103\/PhysRevD.107.023010"},{"key":"26083_CR18","doi-asserted-by":"crossref","unstructured":"W.D. Goldberger and I.Z. Rothstein, An effective field theory of gravity for extended objects, Phys. Rev. D 73 (2006) 104029 [hep-th\/0409156] [INSPIRE].","DOI":"10.1103\/PhysRevD.73.104029"},{"key":"26083_CR19","doi-asserted-by":"publisher","first-page":"2","DOI":"10.12942\/lrr-2014-2","volume":"17","author":"L Blanchet","year":"2014","unstructured":"L. Blanchet, Post-Newtonian theory for gravitational waves, Living Rev. Rel. 17 (2014) 2 [arXiv:1310.1528] [INSPIRE].","journal-title":"Living Rev. Rel."},{"key":"26083_CR20","doi-asserted-by":"publisher","first-page":"069","DOI":"10.1007\/JHEP09(2013)069","volume":"09","author":"B Kol","year":"2013","unstructured":"B. Kol and R. Shir, Classical 3-loop 2-body diagrams, JHEP 09 (2013) 069 [arXiv:1306.3220] [INSPIRE].","journal-title":"JHEP"},{"key":"26083_CR21","doi-asserted-by":"crossref","unstructured":"S. Foffa, P. Mastrolia, R. Sturani and C. Sturm, Effective field theory approach to the gravitational two-body dynamics, at fourth post-Newtonian order and quintic in the Newton constant, Phys. Rev. D 95 (2017) 104009 [arXiv:1612.00482] [INSPIRE].","DOI":"10.1103\/PhysRevD.95.104009"},{"key":"26083_CR22","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1016\/j.physrep.2016.04.003","volume":"633","author":"RA Porto","year":"2016","unstructured":"R.A. Porto, The effective field theorist\u2019s approach to gravitational dynamics, Phys. Rept. 633 (2016) 1 [arXiv:1601.04914] [INSPIRE].","journal-title":"Phys. Rept."},{"key":"26083_CR23","doi-asserted-by":"crossref","unstructured":"M. Levi, Effective field theories of post-Newtonian gravity: a comprehensive review, Rept. Prog. Phys. 83 (2020) 075901 [arXiv:1807.01699] [INSPIRE].","DOI":"10.1088\/1361-6633\/ab12bc"},{"key":"26083_CR24","unstructured":"W.D. Goldberger, Effective field theories of gravity and compact binary dynamics: a Snowmass 2021 whitepaper, in the proceedings of the Snowmass 2021, (2022) [arXiv:2206.14249] [INSPIRE]."},{"key":"26083_CR25","doi-asserted-by":"crossref","unstructured":"T. Damour, P. Jaranowski and G. Sch\u00e4fer, Nonlocal-in-time action for the fourth post-Newtonian conservative dynamics of two-body systems, Phys. Rev. D 89 (2014) 064058 [arXiv:1401.4548] [INSPIRE].","DOI":"10.1103\/PhysRevD.89.064058"},{"key":"26083_CR26","doi-asserted-by":"crossref","unstructured":"P. Jaranowski and G. Sch\u00e4fer, Derivation of local-in-time fourth post-Newtonian ADM Hamiltonian for spinless compact binaries, Phys. Rev. D 92 (2015) 124043 [arXiv:1508.01016] [INSPIRE].","DOI":"10.1103\/PhysRevD.92.124043"},{"key":"26083_CR27","doi-asserted-by":"crossref","unstructured":"L. Bernard et al., Fokker action of nonspinning compact binaries at the fourth post-Newtonian approximation, Phys. Rev. D 93 (2016) 084037 [arXiv:1512.02876] [INSPIRE].","DOI":"10.1103\/PhysRevD.93.084037"},{"key":"26083_CR28","doi-asserted-by":"crossref","unstructured":"L. Bernard et al., Energy and periastron advance of compact binaries on circular orbits at the fourth post-Newtonian order, Phys. Rev. D 95 (2017) 044026 [arXiv:1610.07934] [INSPIRE].","DOI":"10.1103\/PhysRevD.95.044026"},{"key":"26083_CR29","doi-asserted-by":"crossref","unstructured":"T. Damour, P. Jaranowski and G. Sch\u00e4fer, Conservative dynamics of two-body systems at the fourth post-Newtonian approximation of general relativity, Phys. Rev. D 93 (2016) 084014 [arXiv:1601.01283] [INSPIRE].","DOI":"10.1103\/PhysRevD.93.084014"},{"key":"26083_CR30","doi-asserted-by":"crossref","unstructured":"S. Foffa and R. Sturani, Dynamics of the gravitational two-body problem at fourth post-Newtonian order and at quadratic order in the Newton constant, Phys. Rev. D 87 (2013) 064011 [arXiv:1206.7087] [INSPIRE].","DOI":"10.1103\/PhysRevD.87.064011"},{"key":"26083_CR31","doi-asserted-by":"crossref","unstructured":"S. Foffa and R. Sturani, Conservative dynamics of binary systems to fourth post-Newtonian order in the EFT approach I: regularized Lagrangian, Phys. Rev. D 100 (2019) 024047 [arXiv:1903.05113] [INSPIRE].","DOI":"10.1103\/PhysRevD.100.024047"},{"key":"26083_CR32","doi-asserted-by":"crossref","unstructured":"S. Foffa, R.A. Porto, I. Rothstein and R. Sturani, Conservative dynamics of binary systems to fourth post-Newtonian order in the EFT approach II: renormalized Lagrangian, Phys. Rev. D 100 (2019) 024048 [arXiv:1903.05118] [INSPIRE].","DOI":"10.1103\/PhysRevD.100.024048"},{"key":"26083_CR33","doi-asserted-by":"crossref","unstructured":"J. Bl\u00fcmlein, A. Maier, P. Marquard and G. Sch\u00e4fer, Fourth post-Newtonian Hamiltonian dynamics of two-body systems from an effective field theory approach, Nucl. Phys. B 955 (2020) 115041 [arXiv:2003.01692] [INSPIRE].","DOI":"10.1016\/j.nuclphysb.2020.115041"},{"key":"26083_CR34","doi-asserted-by":"crossref","unstructured":"S. Foffa et al., Static two-body potential at fifth post-Newtonian order, Phys. Rev. Lett. 122 (2019) 241605 [arXiv:1902.10571] [INSPIRE].","DOI":"10.1103\/PhysRevLett.122.241605"},{"key":"26083_CR35","doi-asserted-by":"crossref","unstructured":"J. Bl\u00fcmlein, A. Maier, P. Marquard and G. Sch\u00e4fer, The fifth-order post-Newtonian Hamiltonian dynamics of two-body systems from an effective field theory approach, Nucl. Phys. B 983 (2022) 115900 [Erratum ibid. 985 (2022) 115991] [arXiv:2110.13822] [INSPIRE].","DOI":"10.1016\/j.nuclphysb.2022.115900"},{"key":"26083_CR36","doi-asserted-by":"publisher","first-page":"050","DOI":"10.1007\/JHEP04(2025)050","volume":"04","author":"RA Porto","year":"2025","unstructured":"R.A. Porto, M.M. Riva and Z. Yang, Nonlinear gravitational radiation reaction: failed tail, memories & squares, JHEP 04 (2025) 050 [arXiv:2409.05860] [INSPIRE].","journal-title":"JHEP"},{"key":"26083_CR37","doi-asserted-by":"crossref","unstructured":"J. Bl\u00fcmlein, A. Maier, P. Marquard and G. Sch\u00e4fer, The 6th post-Newtonian potential terms at O($$ {G}_N^4 $$), Phys. Lett. B 816 (2021) 136260 [arXiv:2101.08630] [INSPIRE].","DOI":"10.1016\/j.physletb.2021.136260"},{"key":"26083_CR38","doi-asserted-by":"crossref","unstructured":"J. Bl\u00fcmlein, A. Maier, P. Marquard and G. Sch\u00e4fer, Testing binary dynamics in gravity at the sixth post-Newtonian level, Phys. Lett. B 807 (2020) 135496 [arXiv:2003.07145] [INSPIRE].","DOI":"10.1016\/j.physletb.2020.135496"},{"key":"26083_CR39","doi-asserted-by":"crossref","unstructured":"D. Bini, T. Damour and A. Geralico, Novel approach to binary dynamics: application to the fifth post-Newtonian level, Phys. Rev. Lett. 123 (2019) 231104 [arXiv:1909.02375] [INSPIRE].","DOI":"10.1103\/PhysRevLett.123.231104"},{"key":"26083_CR40","doi-asserted-by":"crossref","unstructured":"L. Blanchet et al., Gravitational-wave phasing of quasicircular compact binary systems to the fourth-and-a-half post-Newtonian order, Phys. Rev. Lett. 131 (2023) 121402 [arXiv:2304.11185] [INSPIRE].","DOI":"10.1103\/PhysRevLett.131.121402"},{"key":"26083_CR41","doi-asserted-by":"crossref","unstructured":"L. Blanchet et al., Gravitational-wave flux and quadrupole modes from quasicircular nonspinning compact binaries to the fourth post-Newtonian order, Phys. Rev. D 108 (2023) 064041 [arXiv:2304.11186] [INSPIRE].","DOI":"10.1103\/PhysRevD.108.064041"},{"key":"26083_CR42","doi-asserted-by":"crossref","unstructured":"L. Amalberti, Z. Yang and R.A. Porto, Gravitational radiation from inspiralling compact binaries to N3LO in the effective field theory approach, Phys. Rev. D 110 (2024) 044046 [arXiv:2406.03457] [INSPIRE].","DOI":"10.1103\/PhysRevD.110.044046"},{"key":"26083_CR43","doi-asserted-by":"publisher","first-page":"188","DOI":"10.1007\/JHEP02(2024)188","volume":"02","author":"MK Mandal","year":"2024","unstructured":"M.K. Mandal et al., Renormalizing Love: tidal effects at the third post-Newtonian order, JHEP 02 (2024) 188 [arXiv:2308.01865] [INSPIRE].","journal-title":"JHEP"},{"key":"26083_CR44","doi-asserted-by":"crossref","unstructured":"W.D. Goldberger and A. Ross, Gravitational radiative corrections from effective field theory, Phys. Rev. D 81 (2010) 124015 [arXiv:0912.4254] [INSPIRE].","DOI":"10.1103\/PhysRevD.81.124015"},{"key":"26083_CR45","doi-asserted-by":"crossref","unstructured":"Q. Henry, G. Faye and L. Blanchet, Tidal effects in the gravitational-wave phase evolution of compact binary systems to next-to-next-to-leading post-Newtonian order, Phys. Rev. D 102 (2020) 044033 [Erratum ibid. 108 (2023) 089901] [arXiv:2005.13367] [INSPIRE].","DOI":"10.1103\/PhysRevD.102.044033"},{"key":"26083_CR46","doi-asserted-by":"crossref","unstructured":"Q. Henry, G. Faye and L. Blanchet, Tidal effects in the gravitational-wave phase evolution of compact binary systems to next-to-next-to-leading post-Newtonian order, Phys. Rev. D 102 (2020) 044033 [Erratum ibid. 108 (2023) 089901] [arXiv:2005.13367] [INSPIRE].","DOI":"10.1103\/PhysRevD.102.044033"},{"key":"26083_CR47","doi-asserted-by":"crossref","unstructured":"B. Kol and M. Smolkin, Non-relativistic gravitation: from Newton to Einstein and back, Class. Quant. Grav. 25 (2008) 145011 [arXiv:0712.4116] [INSPIRE].","DOI":"10.1088\/0264-9381\/25\/14\/145011"},{"key":"26083_CR48","doi-asserted-by":"crossref","unstructured":"B. Kol and M. Smolkin, Classical effective field theory and caged black holes, Phys. Rev. D 77 (2008) 064033 [arXiv:0712.2822] [INSPIRE].","DOI":"10.1103\/PhysRevD.77.064033"},{"key":"26083_CR49","doi-asserted-by":"crossref","unstructured":"T. Hinderer, Tidal Love numbers of neutron stars, Astrophys. J. 677 (2008) 1216 [Erratum ibid. 697 (2009) 964] [arXiv:0711.2420] [INSPIRE].","DOI":"10.1086\/533487"},{"key":"26083_CR50","doi-asserted-by":"crossref","unstructured":"T. Binnington and E. Poisson, Relativistic theory of tidal Love numbers, Phys. Rev. D 80 (2009) 084018 [arXiv:0906.1366] [INSPIRE].","DOI":"10.1103\/PhysRevD.80.084018"},{"key":"26083_CR51","doi-asserted-by":"crossref","unstructured":"T. Damour and A. Nagar, Relativistic tidal properties of neutron stars, Phys. Rev. D 80 (2009) 084035 [arXiv:0906.0096] [INSPIRE].","DOI":"10.1103\/PhysRevD.80.084035"},{"key":"26083_CR52","doi-asserted-by":"publisher","first-page":"130","DOI":"10.1007\/JHEP03(2023)130","volume":"03","author":"MK Mandal","year":"2023","unstructured":"M.K. Mandal, P. Mastrolia, R. Patil and J. Steinhoff, Gravitational spin-orbit Hamiltonian at NNNLO in the post-Newtonian framework, JHEP 03 (2023) 130 [arXiv:2209.00611] [INSPIRE].","journal-title":"JHEP"},{"key":"26083_CR53","doi-asserted-by":"publisher","first-page":"279","DOI":"10.1006\/jcph.1993.1074","volume":"105","author":"P Nogueira","year":"1993","unstructured":"P. Nogueira, Automatic Feynman graph generation, J. Comput. Phys. 105 (1993) 279 [INSPIRE].","journal-title":"J. Comput. Phys."},{"key":"26083_CR54","doi-asserted-by":"crossref","unstructured":"M. Levi and J. Steinhoff, EFTofPNG: a package for high precision computation with the effective field theory of post-Newtonian gravity, Class. Quant. Grav. 34 (2017) 244001 [arXiv:1705.06309] [INSPIRE].","DOI":"10.1088\/1361-6382\/aa941e"},{"key":"26083_CR55","unstructured":"J.M.M. Garc\u00eda, xAct: efficient tensor computer algebra for Mathematica, http:\/\/www.xact.es."},{"key":"26083_CR56","doi-asserted-by":"crossref","unstructured":"R.N. Lee, LiteRed 1.4: a powerful tool for reduction of multiloop integrals, J. Phys. Conf. Ser. 523 (2014) 012059 [arXiv:1310.1145] [INSPIRE].","DOI":"10.1088\/1742-6596\/523\/1\/012059"},{"key":"26083_CR57","doi-asserted-by":"publisher","first-page":"127","DOI":"10.1063\/1.529135","volume":"32","author":"T Damour","year":"1991","unstructured":"T. Damour and G. Schaefer, Redefinition of position variables and the reduction of higher order Lagrangians, J. Math. Phys. 32 (1991) 127 [INSPIRE].","journal-title":"J. Math. Phys."},{"key":"26083_CR58","unstructured":"A. Gamboa, M. Khalil and A. Buonanno, Third post-Newtonian dynamics for eccentric orbits and aligned spins in the effective-one-body waveform model SEOBNRv5EHM, arXiv:2412.12831 [INSPIRE]."},{"key":"26083_CR59","doi-asserted-by":"crossref","unstructured":"L. Amalberti, F. Larrouturou and Z. Yang, Multipole expansion at the level of the action in d-dimensions, Phys. Rev. D 109 (2024) 104027 [arXiv:2312.02868] [INSPIRE].","DOI":"10.1103\/PhysRevD.109.104027"},{"key":"26083_CR60","doi-asserted-by":"crossref","unstructured":"A. Ross, Multipole expansion at the level of the action, Phys. Rev. D 85 (2012) 125033 [arXiv:1202.4750] [INSPIRE].","DOI":"10.1103\/PhysRevD.85.125033"},{"key":"26083_CR61","doi-asserted-by":"publisher","first-page":"067","DOI":"10.1007\/JHEP11(2023)067","volume":"11","author":"MK Mandal","year":"2023","unstructured":"M.K. Mandal et al., Gravitoelectric dynamical tides at second post-Newtonian order, JHEP 11 (2023) 067 [arXiv:2304.02030] [INSPIRE].","journal-title":"JHEP"},{"key":"26083_CR62","doi-asserted-by":"publisher","first-page":"299","DOI":"10.1103\/RevModPhys.52.299","volume":"52","author":"KS Thorne","year":"1980","unstructured":"K.S. Thorne, Multipole expansions of gravitational radiation, Rev. Mod. Phys. 52 (1980) 299 [INSPIRE].","journal-title":"Rev. Mod. Phys."},{"key":"26083_CR63","doi-asserted-by":"crossref","unstructured":"L. Blanchet, T. Damour and B.R. Iyer, Gravitational waves from inspiralling compact binaries: energy loss and wave form to second post-Newtonian order, Phys. Rev. D 51 (1995) 5360 [Erratum ibid. 54 (1996) 1860] [gr-qc\/9501029] [INSPIRE].","DOI":"10.1103\/PhysRevD.51.5360"},{"key":"26083_CR64","doi-asserted-by":"crossref","unstructured":"L. Blanchet et al., Gravitational radiation damping of compact binary systems to second post-Newtonian order, Phys. Rev. Lett. 74 (1995) 3515 [gr-qc\/9501027] [INSPIRE].","DOI":"10.1103\/PhysRevLett.74.3515"},{"key":"26083_CR65","doi-asserted-by":"crossref","unstructured":"C.M. Will and A.G. Wiseman, Gravitational radiation from compact binary systems: gravitational wave forms and energy loss to second post-Newtonian order, Phys. Rev. D 54 (1996) 4813 [gr-qc\/9608012] [INSPIRE].","DOI":"10.1103\/PhysRevD.54.4813"},{"key":"26083_CR66","doi-asserted-by":"crossref","unstructured":"L. Blanchet, Energy losses by gravitational radiation in inspiraling compact binaries to five halves post-Newtonian order, Phys. Rev. D 54 (1996) 1417 [Erratum ibid. 71 (2005) 129904] [gr-qc\/9603048] [INSPIRE].","DOI":"10.1103\/PhysRevD.54.1417"},{"key":"26083_CR67","doi-asserted-by":"crossref","unstructured":"J.L. Friedman, K. Uryu and M. Shibata, Thermodynamics of binary black holes and neutron stars, Phys. Rev. D 65 (2002) 064035 [Erratum ibid. 70 (2004) 129904] [gr-qc\/0108070] [INSPIRE].","DOI":"10.1103\/PhysRevD.65.064035"},{"key":"26083_CR68","doi-asserted-by":"crossref","unstructured":"A. Le Tiec, L. Blanchet and B.F. Whiting, The first law of binary black hole mechanics in general relativity and post-Newtonian theory, Phys. Rev. D 85 (2012) 064039 [arXiv:1111.5378] [INSPIRE].","DOI":"10.1103\/PhysRevD.85.064039"},{"key":"26083_CR69","doi-asserted-by":"crossref","unstructured":"K.G. Arun, L. Blanchet, B.R. Iyer and S. Sinha, Third post-Newtonian angular momentum flux and the secular evolution of orbital elements for inspiralling compact binaries in quasi-elliptical orbits, Phys. Rev. D 80 (2009) 124018 [arXiv:0908.3854] [INSPIRE].","DOI":"10.1103\/PhysRevD.80.124018"},{"key":"26083_CR70","doi-asserted-by":"crossref","unstructured":"L.E. Kidder, Using full information when computing modes of post-Newtonian waveforms from inspiralling compact binaries in circular orbit, Phys. Rev. D 77 (2008) 044016 [arXiv:0710.0614] [INSPIRE].","DOI":"10.1103\/PhysRevD.77.044016"},{"key":"26083_CR71","doi-asserted-by":"crossref","unstructured":"A. Buonanno, G.B. Cook and F. Pretorius, Inspiral, merger and ring-down of equal-mass black-hole binaries, Phys. Rev. D 75 (2007) 124018 [gr-qc\/0610122] [INSPIRE].","DOI":"10.1103\/PhysRevD.75.124018"},{"key":"26083_CR72","doi-asserted-by":"publisher","first-page":"028","DOI":"10.1088\/1475-7516\/2012\/09\/028","volume":"09","author":"RA Porto","year":"2012","unstructured":"R.A. Porto, A. Ross and I.Z. Rothstein, Spin induced multipole moments for the gravitational wave amplitude from binary inspirals to 2.5 post-Newtonian order, JCAP 09 (2012) 028 [arXiv:1203.2962] [INSPIRE].","journal-title":"JCAP"},{"key":"26083_CR73","doi-asserted-by":"crossref","unstructured":"L. Blanchet and G. Schaefer, Gravitational wave tails and binary star systems, Class. Quant. Grav. 10 (1993) 2699 [INSPIRE].","DOI":"10.1088\/0264-9381\/10\/12\/026"},{"key":"26083_CR74","doi-asserted-by":"crossref","unstructured":"L. Blanchet, G. Faye, B.R. Iyer and S. Sinha, The third post-Newtonian gravitational wave polarisations and associated spherical harmonic modes for inspiralling compact binaries in quasi-circular orbits, Class. Quant. Grav. 25 (2008) 165003 [Erratum ibid. 29 (2012) 239501] [arXiv:0802.1249] [INSPIRE].","DOI":"10.1088\/0264-9381\/25\/16\/165003"},{"key":"26083_CR75","doi-asserted-by":"crossref","unstructured":"E. Dones, Q. Henry and L. Bernard, Tidal contributions to the full gravitational waveform to the second-and-a-half post-Newtonian order, Phys. Rev. D 111 (2025) 084043 [arXiv:2412.14249] [INSPIRE].","DOI":"10.1103\/PhysRevD.111.084043"},{"key":"26083_CR76","doi-asserted-by":"crossref","unstructured":"Q. Henry, G. Faye and L. Blanchet, Tidal effects in the equations of motion of compact binary systems to next-to-next-to-leading post-Newtonian order, Phys. Rev. D 101 (2020) 064047 [arXiv:1912.01920] [INSPIRE].","DOI":"10.1103\/PhysRevD.101.064047"},{"key":"26083_CR77","doi-asserted-by":"crossref","unstructured":"W. Tichy, E.E. Flanagan and E. Poisson, Can the post-Newtonian gravitational wave form of an inspiraling binary be improved by solving the energy balance equation numerically?, Phys. Rev. D 61 (2000) 104015 [gr-qc\/9912075] [INSPIRE].","DOI":"10.1103\/PhysRevD.61.104015"},{"key":"26083_CR78","doi-asserted-by":"crossref","unstructured":"N. Williams, P. Schmidt and G. Pratten, Phenomenological model of gravitational self-force enhanced tides in inspiraling binary neutron stars, Phys. Rev. D 110 (2024) 104013 [arXiv:2407.08538] [INSPIRE].","DOI":"10.1103\/PhysRevD.110.104013"},{"key":"26083_CR79","unstructured":"M. Colleoni et al., IMRPhenomXP_NRTidalv2: an improved frequency-domain precessing binary neutron star waveform model, arXiv:2311.15978 [INSPIRE]."},{"key":"26083_CR80","unstructured":"R. Gamba et al., Analytically improved and numerical-relativity informed effective-one-body model for coalescing binary neutron stars, arXiv:2307.15125 [INSPIRE]."},{"key":"26083_CR81","doi-asserted-by":"crossref","unstructured":"T. Narikawa, Multipole tidal effects in the post-Newtonian gravitational-wave phase of compact binary coalescences, Phys. Rev. D 108 (2023) 063029 [arXiv:2307.02033] [INSPIRE].","DOI":"10.1103\/PhysRevD.108.063029"},{"key":"26083_CR82","doi-asserted-by":"crossref","unstructured":"J. Tissino et al., Combining effective-one-body accuracy and reduced-order-quadrature speed for binary neutron star merger parameter estimation with machine learning, Phys. Rev. D 107 (2023) 084037 [arXiv:2210.15684] [INSPIRE].","DOI":"10.1103\/PhysRevD.107.084037"},{"key":"26083_CR83","doi-asserted-by":"crossref","unstructured":"A. Abac et al., New and robust gravitational-waveform model for high-mass-ratio binary neutron star systems with dynamical tidal effects, Phys. Rev. D 109 (2024) 024062 [arXiv:2311.07456] [INSPIRE].","DOI":"10.1103\/PhysRevD.109.024062"},{"key":"26083_CR84","unstructured":"LIGO Scientific et al. collaborations, Observation of gravitational waves from the coalescence of a 2.5\u20134.5 M\u2299 compact object and a neutron star, Astrophys. J. Lett. 970 (2024) L34 [arXiv:2404.04248] [INSPIRE]."},{"key":"26083_CR85","doi-asserted-by":"crossref","unstructured":"H. Koehn et al., From existing and new nuclear and astrophysical constraints to stringent limits on the equation of state of neutron-rich dense matter, Phys. Rev. X 15 (2025) 021014 [arXiv:2402.04172] [INSPIRE].","DOI":"10.1103\/PhysRevX.15.021014"},{"key":"26083_CR86","doi-asserted-by":"crossref","unstructured":"J. Golomb et al., Using equation of state constraints to classify low-mass compact binary mergers, Phys. Rev. D 110 (2024) 063014 [arXiv:2403.07697] [INSPIRE].","DOI":"10.1103\/PhysRevD.110.063014"},{"key":"26083_CR87","doi-asserted-by":"crossref","unstructured":"T. Narikawa and N. Uchikata, Follow-up analyses of the binary-neutron-star signals GW170817 and GW190425 by using post-Newtonian waveform models, Phys. Rev. D 106 (2022) 103006 [arXiv:2205.06023] [INSPIRE].","DOI":"10.1103\/PhysRevD.106.103006"},{"key":"26083_CR88","doi-asserted-by":"crossref","unstructured":"H.-J. Kuan and K.D. Kokkotas, f-mode imprints on gravitational waves from coalescing binaries involving aligned spinning neutron stars, Phys. Rev. D 106 (2022) 064052 [arXiv:2205.01705] [INSPIRE].","DOI":"10.1103\/PhysRevD.106.064052"},{"key":"26083_CR89","doi-asserted-by":"crossref","unstructured":"A. Samajdar and T. Dietrich, Waveform systematics for binary neutron star gravitational wave signals: effects of the point-particle baseline and tidal descriptions, Phys. Rev. D 98 (2018) 124030 [arXiv:1810.03936] [INSPIRE].","DOI":"10.1103\/PhysRevD.98.124030"},{"key":"26083_CR90","doi-asserted-by":"crossref","unstructured":"A. Samajdar and T. Dietrich, Waveform systematics for binary neutron star gravitational wave signals: effects of spin, precession, and the observation of electromagnetic counterparts, Phys. Rev. D 100 (2019) 024046 [arXiv:1905.03118] [INSPIRE].","DOI":"10.1103\/PhysRevD.100.024046"},{"key":"26083_CR91","doi-asserted-by":"crossref","unstructured":"D. Bini, T. Damour and G. Faye, Effective action approach to higher-order relativistic tidal interactions in binary systems and their effective one body description, Phys. Rev. D 85 (2012) 124034 [arXiv:1202.3565] [INSPIRE].","DOI":"10.1103\/PhysRevD.85.124034"},{"key":"26083_CR92","doi-asserted-by":"crossref","unstructured":"K.S. Thorne and J.B. Hartle, Laws of motion and precession for black holes and other bodies, Phys. Rev. D 31 (1984) 1815 [INSPIRE].","DOI":"10.1103\/PhysRevD.31.1815"},{"key":"26083_CR93","doi-asserted-by":"crossref","unstructured":"X.H. Zhang, Multipole expansions of the general-relativistic gravitational field of the external universe, Phys. Rev. D 34 (1986) 991 [INSPIRE].","DOI":"10.1103\/PhysRevD.34.991"},{"key":"26083_CR94","doi-asserted-by":"publisher","first-page":"3273","DOI":"10.1103\/PhysRevD.43.3273","volume":"43","author":"T Damour","year":"1991","unstructured":"T. Damour, M. Soffel and C.-M. Xu, General relativistic celestial mechanics. 1. Method and definition of reference systems, Phys. Rev. D 43 (1991) 3273 [INSPIRE].","journal-title":"Phys. Rev. D"},{"key":"26083_CR95","doi-asserted-by":"crossref","unstructured":"T. Damour and A. Nagar, Effective one body description of tidal effects in inspiralling compact binaries, Phys. Rev. D 81 (2010) 084016 [arXiv:0911.5041] [INSPIRE].","DOI":"10.1103\/PhysRevD.81.084016"},{"key":"26083_CR96","doi-asserted-by":"crossref","unstructured":"J. Steinhoff, T. Hinderer, A. Buonanno and A. Taracchini, Dynamical tides in general relativity: effective action and effective-one-body Hamiltonian, Phys. Rev. D 94 (2016) 104028 [arXiv:1608.01907] [INSPIRE].","DOI":"10.1103\/PhysRevD.94.104028"},{"key":"26083_CR97","doi-asserted-by":"crossref","unstructured":"P.K. Gupta, J. Steinhoff and T. Hinderer, Relativistic effective action of dynamical gravitomagnetic tides for slowly rotating neutron stars, Phys. Rev. Res. 3 (2021) 013147 [arXiv:2011.03508] [INSPIRE].","DOI":"10.1103\/PhysRevResearch.3.013147"},{"key":"26083_CR98","doi-asserted-by":"crossref","unstructured":"P.K. Gupta, J. Steinhoff and T. Hinderer, Effect of dynamical gravitomagnetic tides on measurability of tidal parameters for binary neutron stars using gravitational waves, Phys. Rev. D 108 (2023) 124040 [arXiv:2302.11274] [INSPIRE].","DOI":"10.1103\/PhysRevD.108.124040"}],"container-title":["Journal of High Energy Physics"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/JHEP05(2025)008.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/JHEP05(2025)008\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/JHEP05(2025)008.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,6,7]],"date-time":"2025-06-07T20:04:15Z","timestamp":1749326655000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/JHEP05(2025)008"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2025,5,2]]},"references-count":98,"journal-issue":{"issue":"5","published-online":{"date-parts":[[2025,5]]}},"alternative-id":["26083"],"URL":"https:\/\/doi.org\/10.1007\/jhep05(2025)008","relation":{"has-preprint":[{"id-type":"arxiv","id":"2412.01706","asserted-by":"subject"}]},"ISSN":["1029-8479"],"issn-type":[{"value":"1029-8479","type":"electronic"}],"subject":[],"published":{"date-parts":[[2025,5,2]]},"assertion":[{"value":"28 January 2025","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"1 April 2025","order":2,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"2 May 2025","order":3,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"2025 The Author(s)","order":1,"name":"copyright_statement","label":"Copyright Statement","group":{"name":"ArticleCopyright","label":"Copyright Information"}},{"value":"The Author(s)","order":2,"name":"copyright_holder","label":"Copyright Holder","group":{"name":"ArticleCopyright","label":"Copyright Information"}},{"value":"2025","order":3,"name":"copyright_year","label":"Copyright Year","group":{"name":"ArticleCopyright","label":"Copyright Information"}}],"article-number":"8"}}