FuGa3D: Fast full-sky analysis of Galaxy catalogs in 3D
Elina Keih\"anen, Jani Haapala, Valtteri Lindholm, Martin Reinecke, Susan Rissanen, Jussi Valiviita, Akke Viitanen

TL;DR
FuGa3D is a computational tool designed for rapid analysis of galaxy survey data, enabling efficient calculation of correlation functions and power spectra in 3D full-sky galaxy catalogs.
Contribution
The paper introduces FuGa3D, a new code that significantly accelerates the computation of galaxy correlation functions and power spectra in 3D full-sky surveys.
Findings
Validated with simulated mock catalogs.
Achieved fast computation times for large datasets.
Demonstrated efficiency in processing 46 million galaxies.
Abstract
We present FuGa3D, a code for fast computation of correlation functions and power spectra for galaxy survey observables, including galaxy clustering and cosmic shear. We define the redshift-space correlation function (RCF) as the correlation function defined in the parameter space of two redshifts and an angular separation angle. Assuming that there is no preferred direction in the sky, these parameters fully define the relative position of two galaxies, independently of the assumed cosmological model. Once the RCF is constructed, it is easy to compute derived correlation metrics, such as the real-space clustering correlation function and its multipoles. We further define the redshift-space power spectrum as the harmonic counterpart of the RCF, and show that it can be computed efficiently using the discrete galaxy coordinates. We validate the code with simulated mock catalogs. Computing…
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