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Scalar-tensor theories are one of the most natural and well-constrained alternative theories of gravity, while still allowing for significant deviations from general relativity. We present the equations of motion of nonspinning compact binary systems at the third post-Newtonian (PN) order in massless scalar-tensor theories. We adapt the Fokker action of point particles in harmonic coordinates in general relativity to the specificities of scalar-tensor theories. We use dimensional regularization to treat both the infrared and ultraviolet divergences, and we consistently include the tail effects that contribute by a nonlocal term to the dynamics. This work is crucial in order to later compute the scalar gravitational waveform and the energy flux at 2PN order.
Laura Bernard (Thu,) studied this question.