Next to Leading Order Spin(1)Spin(1) Effects in the Motion of Inspiralling Compact Binaries
General Relativity and Quantum Cosmology
2014-11-18 v4 Astrophysics
High Energy Physics - Phenomenology
High Energy Physics - Theory
Abstract
Using effective field theory techniques we compute the next to leading order Spin(1)Spin(1) terms in the potential of spinning compact objects at third Post-Newtonian order, including sub-leading self-induced finite size effects. This result represents the last ingredient to complete the relevant spin potentials to 3PN order from which the equations of motion follow via a canonical formalism. As an example we include the precession equation.
Keywords
Cite
@article{arxiv.0804.0260,
title = {Next to Leading Order Spin(1)Spin(1) Effects in the Motion of Inspiralling Compact Binaries},
author = {Rafael A. Porto and Ira Z. Rothstein},
journal= {arXiv preprint arXiv:0804.0260},
year = {2014}
}
Comments
25 pages. 5 figures. v4: Paper updated to account for an error found in the Feynman rule for one diagram (3c) in our computation. The corrected potential includes one extra term proportional to S_{1(2)}^2. The precession equation remains unaltered