Calculating the static gravitational two-body potential to fifth post-Newtonian order with Feynman diagrams

Abstract

We discuss the first-time calculation of the static gravitational two-body potential up to fifth post-Newtonian(PN) order. The results are achieved through a manifest factorization property of the odd PN diagrams. The factorization property is illustrated also at first and third PN order.

arXiv comment9 pages, 5 figures, contribution to the 14th International Symposium on Radiative Corrections (RADCOR2019), 9-13 September 2019, Palais des Papes, Avignon, France

References in corpus (34)

• Observation of Gravitational Waves from a Binary Black Hole Merger
• Advanced Virgo: a 2nd generation interferometric gravitational wave detector
• New features of FORM
• An Effective Field Theory of Gravity for Extended Objects
• The analytical value of the electron (g-2) at order alpha^3 in QED
• The Effective Field Theorist's Approach to Gravitational Dynamics
• Towards models of gravitational waveforms from generic binaries II: Modelling precession effects with a single effective precession parameter
• Reduze - Feynman Integral Reduction in C++
• Model Waveform Accuracy Standards for Gravitational Wave Data Analysis
• Nonlocal-in-time action for the fourth post-Newtonian conservative dynamics of two-body systems
• Effective Field Theories of Post-Newtonian Gravity: A comprehensive review
• Prototype effective-one-body model for nonprecessing spinning inspiral-merger-ringdown waveforms
• Dimensional regularization of the third post-Newtonian dynamics of point particles in harmonic coordinates
• Fourth post-Newtonian effective one-body dynamics
• Energetics of two-body Hamiltonians in post-Minkowskian gravity
• Fokker action of non-spinning compact binaries at the fourth post-Newtonian approximation
• Conservative dynamics of two-body systems at the fourth post-Newtonian approximation of general relativity
• Effective field theory approach to the gravitational two-body dynamics, at fourth post-Newtonian order and quintic in the Newton constant
• New derivation of a third post-Newtonian equation of motion for relativistic compact binaries without ambiguity
• Conservative dynamics of binary systems to fourth Post-Newtonian order in the EFT approach I: Regularized Lagrangian
• Effective field theory calculation of conservative binary dynamics at third post-Newtonian order
• Effective field theory methods to model compact binaries
• Energy and periastron advance of compact binaries on circular orbits at the fourth post-Newtonian order
• Ambiguity-Free Completion of the Equations of Motion of Compact Binary Systems at the Fourth Post-Newtonian Order
• Static two-body potential at fifth post-Newtonian order
• The dynamics of the gravitational two-body problem at fourth post-Newtonian order and at quadratic order in the Newton constant
• Five-Loop Static Contribution to the Gravitational Interaction Potential of Two Point Masses
• Center-of-Mass Equations of Motion and Conserved Integrals of Compact Binary Systems at the Fourth Post-Newtonian Order
• Classical Effective Field Theory and Caged Black Holes
• Les Houches Lectures on Effective Field Theories and Gravitational Radiation
• Dimensional regularization of the IR divergences in the Fokker action of point-particle binaries at the fourth post-Newtonian order
• Introducing SummerTime: a package for high-precision computation of sums appearing in DRA method
• On the four-loop static contribution to the gravitational interaction potential of two point masses
• Extension of the functionality of the symbolic program FORM by external software