Scattering angle at 3PM in scalar-tensor theories using the PM-EFT formalism

TL;DR

This paper derives the scattering angle for non-spinning binaries in scalar-tensor theories at third Post-Minkowskian order using EFT, providing an analytic expression that aligns with existing results.

Contribution

It presents the first analytic derivation of the scattering angle at 3PM order in scalar-tensor theories using the EFT formalism.

Findings

Analytic expression for the 3PM scattering angle in scalar-tensor theories.

Results agree with previous literature and post-Newtonian limits.

Demonstrates the effectiveness of the EFT approach at higher orders.

Abstract

In this work, we derive the conservative dynamics of non-spinning binaries in the massless scalar-tensor theories using the post-Minkowskian Effective Field Theory (EFT) approach. Our main result is an analytic expression of the scattering angle, computed up to third Post-Minkowskian order via two-loop Feynman diagrams. Our results are in perfect agreement with previous literature, in particular within the post-Newtonian limit.