EFTofPNG: A package for high precision computation with the Effective Field Theory of Post-Newtonian Gravity

Abstract

We present a new public package "EFTofPNG" for high precision computation in the effective field theory of post-Newtonian (PN) Gravity, including spins. We created this package in view of the timely need to publicly share automated computation tools, which integrate the various types of physics manifested in the expected increasing influx of gravitational wave (GW) data. Hence, we created a free and open source package, which is self-contained, modular, all-inclusive, and accessible to the classical Gravity community. The "EFTofPNG" Mathematica package also uses the power of the "xTensor" package, suited for complicate tensor computation, where our coding also strategically approaches the generic generation of Feynman contractions, which is universal to all perturbation theories in physics, by efficiently treating n-point functions as tensors of rank n. The package currently contains four independent units, which serve as subsidiaries to the main one. Its final unit serves as a pipeline chain for the obtainment of the final GW templates, and provides the full computation of all derivatives and gauge invariant physical observables of interest. The upcoming "EFTofPNG" package version 1.0 should cover the point mass sector, and all the spin sectors, up to the fourth PN order, and the two-loop level. We expect and strongly encourage public development of the package to improve its efficiency, and to extend it to further PN sectors, and observables useful for the waveform modeling.

arXiv commentInvited article to special issue on "Approaches to the two-body problem". 15 pages, 1 figure. published code available as a public repository through GitHub: https://github.com/miche-levi/pncbc-eftofpng

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• Interpreting Binary Neutron Star Mergers: Describing the Binary Neutron Star Dynamics, Modelling Gravitational Waveforms, and Analyzing Detections
• Five-Loop Static Contribution to the Gravitational Interaction Potential of Two Point Masses
• Compton Black-Hole Scattering for $s\le 5/2$
• Classical potential for general spinning bodies
• Conservative Binary Dynamics with a Spinning Black Hole at $\mathcal{O}(G^3)$ from Scattering Amplitudes
• N${}^3$LO gravitational spin-orbit coupling at order $G^4$
• NNNLO gravitational quadratic-in-spin interactions at the quartic order in G
• NLO gravitational quartic-in-spin interaction
• Complete conservative dynamics for inspiralling compact binaries with spins at the fourth post-Newtonian order
• Gravitational Spin-Orbit Hamiltonian at NNNLO in the post-Newtonian framework
• Completing the Fifth PN Precision Frontier via the EFT of Spinning Gravitating Objects
• N${}^3$LO Quadratic-in-Spin Interactions for Generic Compact Binaries
• N${}^3$LO Spin-Orbit Interaction via the EFT of Spinning Gravitating Objects
• Gravitational Quadratic-in-Spin Hamiltonian at NNNLO in the post-Newtonian framework
• Relativistic effective action of dynamical gravitomagnetic tides for slowly rotating neutron stars
• Quadratic-in-spin interactions at fifth post-Newtonian order probe new physics
• Renormalizing Love: tidal effects at the third post-Newtonian order
• Gravitoelectric dynamical tides at second post-Newtonian order
• From the EFT of Spinning Gravitating Objects to Poincaré and Gauge Invariance at the 4.5PN Precision Frontier
• Radiating Love: adiabatic tidal fluxes and modes up to next-to-next-to-leading post-Newtonian order
• Higher-order tails and RG flows due to scattering of gravitational radiation from binary inspirals
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• A public framework for Feynman calculations and post-Newtonian gravity
• Gravitational cubic-in-spin interaction at the next-to-leading post-Newtonian order
• Effective Field Theory of Post-Newtonian Gravity Including Spins
• Field theory for gravity at all scales
• Quantum point particle approximation of spinning black holes and compact stars
• Worldline EFT treatment of quadratic and cubic gravity theories