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We use recently developed effective field theory techniques to calculate thethird order post-Newtonian correction to the spin-spin potential between twospinning objects. This correction represents the first contribution to thespin-spin interaction due to the non-linear nature of general relativity andwill play an important role in forthcoming gravity wave experiments.Comment: 4 pages, 2 figures, RevTe

Calculation of the First Nonlinear Contribution to the General-Relativistic Spin-Spin Interaction for Binary Systems