Effective field theory approach to the gravitational two-body dynamics at fourth post-Newtonian order and quintic in the Newton constant

Author(s)

Foffa, Stefano ; Mastrolia, Pierpaolo ; Sturani, Riccardo ; Sturm, Christian

• Document type: Journal article
• Source: PHYSICAL REVIEW D; v. 95, n. 10, p. 13-pg., 2017-05-08.

Abstract

Working within the post-Newtonian (PN) approximation to general relativity, we use the effective field theory (EFT) framework to study the conservative dynamics of the two-body motion at fourth PN order, at fifth order in the Newton constant. This is one of the missing pieces preventing the computation of the full Lagrangian at fourth PN order using EFT methods. We exploit the analogy between diagrams in the EFT gravitational theory and two-point functions in massless gauge theory, to address the calculation of four-loop amplitudes by means of standard multiloop diagrammatic techniques. For those terms which can be directly compared, our result confirms the findings of previous studies, performed using different methods. (AU)

• FAPESP's process: 16/01343-7 - ICTP South American Institute for Fundamental Research: a regional center for theoretical physics
• Grantee: Nathan Jacob Berkovits
• Support Opportunities: Special Projects
• FAPESP's process: 12/14132-3 - Analysis of gravitational waves
• Grantee: Riccardo Sturani
• Support Opportunities: Research Grants - Young Investigators Grants