PoS - Proceedings of Science
Volume 432 - 16th International Symposium on Radiative Corrections: Applications of Quantum Field Theory to Phenomenology (RADCOR2023) - Main session
Numerical Unitarity for Binary Dynamics
F. Febres Cordero
Full text: pdf
Pre-published on: November 20, 2023
Published on: January 22, 2024
We present a calculation of the conservative two-body Hamiltonian of a compact
binary system including a spinning black hole.
We include up-to third order
corrections in Newton's constant $G$, all orders in velocity, and linear and
quadratic terms in spin. The results are obtained from the
classical limit of two-loop scattering amplitudes involving two massive scalars
and two massive spin-1 particles minimally coupled to gravity. We discuss the
usage of numerical techniques in our computation. In particular we show how the
numerical unitarity method is well suited to obtain results of relevance to the
physics program of current and future gravitational wave observatories.
DOI: https://doi.org/10.22323/1.432.0095
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