Description
Classical gravitational observables of a binary black hole system play a key role
in gravitational waves physics and gravitational wave modeling. The new generation of
gravitational waves detectors demand high precision calculations of these observables. It
is remarkable that these calculations are also the first instance in which periods over
Calabi-Yau 3-folds contribute to an analytic result of a physical observable. I will discuss
the structure of the computation of the scattering angle and radiated energy up to fifth
Post-Minkowskian order (4-loop order) and in which way Calabi-Yau periods play a role in
the computation and analytic expression of these observables.