Title: Precision Gravity: Effective field theory methods for post-Newtonian calculationsAbstract: My talk will focus on computing state-of-the-art effective two-body Hamiltonians and fluxes using techniques from quantum field theory and scattering amplitudes. These Hamiltonians and fluxes serve as fundamental building blocks for waveform templates, and usually dictates the accuracy of the waveform model. I will describe the recent partial results at sixth and seventh post-Newtonian (PN) order. In particular, I will discuss the six-loop contribution at 6PN, which represents the highest-precision computation to date in the context of the fundamental forces of nature. I will also discuss the implications of a Z2 symmetry observed in the static sector. This symmetry leads to nontrivial relations among PN coefficients and allows the odd PN static potentials to be determined from information at lower PN orders, providing powerful tools for higher-order calculations.
