Gravitational quadratic-in-spin Hamiltonian at NNNLO in the post-Newtonian framework

Mandal, Manoj K.; Mastrolia, Pierpaolo; Patil, Raj; Steinhoff, Jan

doi:10.1007/jhep07(2023)128

Cited by 19 publications

(1 citation statement)

References 98 publications

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“…Apart from such analyses happening for GR, much work has been done in extending this PN scheme for non-GR theories as well [40][41][42][43]. The formalism can also be extended for hyperbolic encounters [44][45][46], for binaries moving in media [47,48], in the context of EFTs using the JCAP04(2024)001 worldline EFT approaches [49][50][51][52][53][54]. In this paper, we will only focus on the leading order term in this expansion, giving us the leading order contribution in the energy flux for binaries.…”

Section: Introductionmentioning

confidence: 99%

Prospects of detecting deviations to Kerr geometry with radiation reaction effects in EMRIs

Chowdhuri,

Bhattacharyya,

Kumar

2024

J. Cosmol. Astropart. Phys.

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Direct detection of gravitational waves and binary black hole mergers have proven to be remarkable investigations of general relativity. In order to have a definitive answer as to whether the black hole spacetime under test is the Kerr or non-Kerr, one requires accurate mapping of the metric. Since EMRIs are perfect candidates for space-based detectors, Laser Interferometer Space Antenna (LISA) observations will serve a crucial purpose in mapping the spacetime metric. In this article, we consider such a study with the Johannsen spacetime that captures the deviations from the Kerr black hole and further discuss their detection prospects. We analytically derive the leading order post-Newtonian corrections in the average loss of energy and angular momentum fluxes generated by a stellar-mass object exhibiting eccentric equatorial motion in the Johannsen background. We further study the orbital evolution of the inspiralling object within the adiabatic approximation. We lastly provide the possible detectability of deviations from the Kerr black hole by estimating gravitational wave dephasing and highlight the crucial role of LISA observations.

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Section: Introductionmentioning

confidence: 99%

Prospects of detecting deviations to Kerr geometry with radiation reaction effects in EMRIs

Chowdhuri,

Bhattacharyya,

Kumar

2024

J. Cosmol. Astropart. Phys.

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Renormalizing Love: tidal effects at the third post-Newtonian order

Mandal,

Mastrolia,

Silva

et al. 2024

J. High Energ. Phys.

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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.

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Scattering of spinning compact objects from a worldline EFT

Ben-Shahar

2024

J. High Energ. Phys.

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We study the EFT of a spinning compact object and show that with appropriate gauge fixing, computations become amenable to worldline quantum field theory techniques. We use the resulting action to compute Compton and one-loop scattering amplitudes at fourth order in spin. By matching these amplitdes to solutions of the Teukolsky equations, we fix the values of Wilson coefficients appearing in the EFT such that it reproduces Kerr black hole scattering. We keep track of the spin supplementary condition throughout our computations and discuss alternative ways to ensure its preservation.

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Gravitational quadratic-in-spin Hamiltonian at NNNLO in the post-Newtonian framework

Cited by 19 publications

References 98 publications

Prospects of detecting deviations to Kerr geometry with radiation reaction effects in EMRIs

Prospects of detecting deviations to Kerr geometry with radiation reaction effects in EMRIs

Renormalizing Love: tidal effects at the third post-Newtonian order

Scattering of spinning compact objects from a worldline EFT

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