The Gauss-Legendre Sky Pixelization for the CMB polarization (GLESP-pol). Errors due to pixelization of the CMB sky

TL;DR

This paper introduces a new numerical method for analyzing CMB polarization maps using the GLESP pixelization scheme, comparing its performance with the established HEALPix method.

Contribution

The paper develops polarization transforms within the GLESP scheme, completing a novel approach for CMB map analysis and enabling direct comparison with HEALPix.

Findings

GLESP polarization transforms successfully implemented

Comparison shows differences and similarities with HEALPix

Method enhances accuracy in CMB polarization analysis

Abstract

We present developing of method of the numerical analysis of polarization in the Gauss--Legendre Sky Pixelization (GLESP) scheme for the CMB maps. This incorporation of the polarization transforms in the pixelization scheme GLESP completes the creation of our new method for the numerical analysis of CMB maps. The comparison of GLESP and HEALPix calculations is done.