Journal Article

Gravitoelectric dynamical tides at second post-Newtonian order

Mandal, Manoj K., Mastrolia, Pierpaolo, Silva, Hector O., Steinhoff, Jan, Patil, Raj

2023

Overview

A bstract We present a gravitoelectric quadrupolar dynamical tidal-interaction Hamiltonian for a compact binary system, that is valid to second order in the post-Newtonian expansion. Our derivation uses the diagrammatic effective field theory approach, and involves Feynman integrals up to two loops, evaluated with the dimensional regularization scheme. We also derive the effective Hamiltonian for adiabatic tides, obtained by taking the appropriate limit of the dynamical effective Hamiltonian, and we check its validity by verifying the complete Poincaré algebra. In the adiabatic limit, we also calculate two gauge-invariant observables, namely, the binding energy for a circular orbit and the scattering angle in a hyperbolic scattering. Our results are important for developing accurate gravitational waveform models for neutron-star binaries for present and future gravitational-wave observatories.

• Publisher: Springer Berlin Heidelberg,Springer Nature B.V,SpringerOpen
• Subject: Adiabatic flow / Binary stars / Circular orbits / Classical and Quantum Gravitation / Classical Theories of Gravity / Effective Field Theories / Elementary Particles / Equilibrium / Field theory / Gravitational waves / High energy physics / Neutrons / Observatories / Physics / Physics and Astronomy / Quantum Field Theories / Quantum Field Theory / Quantum Physics / Regular Article - Theoretical Physics / Regularization / Relativity Theory / Scattering Amplitudes / Scattering angle / String Theory / Theory of relativity / Tides / Waveforms