Gravitational quadratic-in-spin Hamiltonian at NNNLO in the post-Newtonian framework
Manoj K. Mandal, Pierpaolo Mastrolia, Raj Patil, Jan Steinhoff
Abstract
A bstract We present the result of the quadratic-in-spin interaction Hamiltonian for binary systems of rotating compact objects with generic spins, up to N 3 LO 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.
Topics & Concepts
PhysicsFeynman diagramHamiltonian (control theory)Classical mechanicsQuadratic equationMathematical physicsGravitationDimensional regularizationSpinsTheoretical physicsGeometryCondensed matter physicsMathematical optimizationMathematicsRenormalizationPulsars and Gravitational Waves ResearchBlack Holes and Theoretical PhysicsQuantum Chromodynamics and Particle Interactions