Efficient resummation of high post-Newtonian contributions to the binding energy

Abstract

A factorisation property of Feynman diagrams in the context the Effective Field Theory approach to the compact binary problem has been recently employed to efficiently determine the static sector of the potential at fifth post-Newtonian (5PN) order. We extend this procedure to the case of non-static diagrams and we use it to fix, by means of elementary algebraic manipulations, the value of more than one thousand diagrams at 5PN order, that is a substantial fraction of the diagrams needed to fully determine the dynamics at 5PN. This procedure addresses the redundancy problem that plagues the computation of the binding energy with respect to more "efficient" observables like the scattering angle, thus making the EFT approach in harmonic gauge at least as scalable as the others methods.

17 pages, 3 figures. In v3: Section 2 expanded. Published on JHEP

References in corpus (21)

• Advanced LIGO
• Scattering Amplitudes and the Conservative Hamiltonian for Binary Systems at Third Post-Minkowskian Order
• Model Waveform Accuracy Standards for Gravitational Wave Data Analysis
• Conservative Dynamics of Binary Systems to Third Post-Minkowskian Order from the Effective Field Theory Approach
• Fourth post-Newtonian effective one-body dynamics
• Radiative contribution to classical gravitational scattering at the third order in $G$
• Energetics of two-body Hamiltonians in post-Minkowskian gravity
• Universality of ultra-relativistic gravitational scattering
• Sixth post-Newtonian local-in-time dynamics of binary systems
• Effective field theory calculation of second post-Newtonian binary dynamics
• Energy and periastron advance of compact binaries on circular orbits at the fourth post-Newtonian order
• Universality in the classical limit of massless gravitational scattering
• Static two-body potential at fifth post-Newtonian order
• Sixth post-Newtonian nonlocal-in-time dynamics of binary systems
• Relativistic Closed-Form Hamiltonian for Many-Body Gravitating Systems in the Post-Minkowskian Approximation
• The dynamics of the gravitational two-body problem at fourth post-Newtonian order and at quadratic order in the Newton constant
• Non-Relativistic Gravitation: From Newton to Einstein and Back
• Testing binary dynamics in gravity at the sixth post-Newtonian level
• Classical Effective Field Theory and Caged Black Holes
• Fourth post-Newtonian Hamiltonian dynamics of two-body systems from an effective field theory approach
• Dimensional regularization of the IR divergences in the Fokker action of point-particle binaries at the fourth post-Newtonian order

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• Near and far zone in two-body dynamics: an effective field theory perspective
• Binary Dynamics from Worldline QFT for Scalar-QED
• Large Gauge Effects and the Structure of Amplitudes
• Gravitational radiation contributions to the two-body scattering angle
• Tensor-Multi-Scalar Gravity: Equations of Motion to 2.5 post-Newtonian Order
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