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

## TL;DR

EFTofPNG is a comprehensive open-source Mathematica package designed for high-precision computations in the effective field theory of post-Newtonian gravity, facilitating gravitational wave data analysis.

## Contribution

It introduces a modular, self-contained tool that automates complex tensor calculations and generates gravitational wave templates up to the fourth PN order, including spins.

## Key findings

- Provides a fully automated pipeline for GW template computation.
- Includes derivatives and gauge-invariant observables for gravitational wave analysis.
- Supports future extensions to higher PN orders and additional physical sectors.

## 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.