Corpus ID: 221246267

Gravitational dynamics at $O(G^6)$: perturbative gravitational scattering meets experimental mathematics

  title={Gravitational dynamics at \$O(G^6)\$: perturbative gravitational scattering meets experimental mathematics},
  author={Donato Bini and T. Damour and Andrea Geralico and Stefano Laporta and Pierpaolo Mastrolia},
  journal={arXiv: General Relativity and Quantum Cosmology},
A recently introduced approach to the gravitational dynamics of binary systems involves intricate integrals, linked to nonlocal-in-time interactions arising at the 5-loop level of classical gravitational scattering. We complete the analytical evaluation of classical gravitational scattering at the sixth order in Newton's constant, $G$, and at the sixth post-Newtonian accuracy. We use computing techniques developed for the evaluation of multi-loop Feynman integrals to obtain our results in two… Expand

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