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High Energy Physics - Theory, hep-th,General Relativity and Quantum Cosmology, gr-qc
Abstract:
We determine the adiabatic tidal contributions to the radiation reacted
momentum impulse $\Delta p_i^\mu$ and scattering angle $\theta$ between two
scattered massive bodies (neutron stars) at next-to-next-to-leading
post-Minkowskian (PM) order. The state-of-the-art three-loop (4PM) worldline
quantum field theory toolkit using dimensional regularization is employed to
establish the classical observables. We encounter divergent terms in the
gravito-electric and gravito-magnetic quadrupolar sectors necessitating the
addition of post-adiabatic counterterms in this classical theory. This leads us
to include also the leading post-adiabatic tidal contributions to the
observables. The resulting renormalization group flow of the associated
post-adiabatic Love numbers is established and shown to agree with a recent
gravito-electric third post-Newtonian analysis in the non-relativistic limit.
