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High Energy Physics - Theory, hep-th,General Relativity and Quantum Cosmology, gr-qc
Abstract:
We present the result of the spin-orbit interaction Hamiltonian for binary
systems of rotating compact objects with generic spins, up to NNNLO 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. We apply canonical transformations to eliminate the non-physical
divergences and spurious logarithmic behaviours of the Hamiltonian, and use the
latter to derive the gauge-invariant binding energy and the scattering angle,
in special kinematic regimes.
