Making maps of cosmological parameters

Abstract

We provide a fast algorithm to diagnose any directional dependence in the cosmological parameters by calculating maps of local cosmological parameter estimates and their joint errors. The technique implements a fast quadratic estimator technique based on Wiener filtering and convolution of the sky with a patch shape. It uses only three map-resolution spherical harmonic transforms per parameter and applies to any data set with full sky or a partial sky coverage. We apply this method to Planck SMICA-2015 and obtain fluctuation map for six cosmological parameters. Our estimate shows that the Planck data is consistent with a single global value of the cosmological parameters and is not influenced by any severe local contaminations. This method is applicable also to other angular or 3D data sets of future missions to scrutinize any local variation in the cosmological parameters.

arXiv comment25 pages, 8 figures

Cited by in corpus (7)

• Is the Observable Universe Consistent with the Cosmological Principle?
• Explaining Cosmological Anisotropy: Evidence for Causal Horizons from CMB data
• Bayesian estimation of our local motion from the Planck-2018 CMB temperature map
• candl: Cosmic Microwave Background Analysis with a Differentiable Likelihood
• Joint Bayesian analysis of large angular scale CMB temperature anomalies
• Optimal machine-driven acquisition of future cosmological data
• Two-point statistics without bins: A continuous-function generalization of the correlation function estimator for large-scale structure