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Effective field theory calculation of conservative binary dynamics at third post-Newtonian order

Stefano Foffa
Riccardo Sturani
Journal / Anthology

Physical Review D
Year: 2011
Volume: 84
Issue: 4
Page range: 044031

We reproduce the two-body gravitational conservative dynamics at third post-Newtonian order for spinless sources by using the effective field theory methods for the gravitationally bound two-body system, proposed by Goldberger and Rothstein. This result has been obtained by automatizing the computation of Feynman amplitudes within a MATHEMATICA algorithm, paving the way for higher-order computations not yet performed by traditional methods.