Reconstruction of CMB Temperature Anisotropies with Primordial CMB Induced Polarization in Galaxy Clusters

TL;DR

This paper proposes a new algorithm to reconstruct local CMB temperature anisotropies using polarization signals induced in galaxy clusters, offering a novel way to test anomalies like the low quadrupole and axis of evil.

Contribution

It develops an innovative reconstruction method based on primordial gravitational potential estimation from galaxy cluster polarization data.

Findings

Successful reconstruction of CMB quadrupole and octopole components.

Provides a new consistency test for CMB anomalies.

Enhances understanding of primordial gravitational potential influence.

Abstract

Scattering of cosmic microwave background (CMB) radiation in galaxy clusters induces polarization signals determined by the quadrupole anisotropy in the photon distribution at the location of clusters. This "remote quadrupole" derived from the measurements of the induced polarization in galaxy clusters provides an opportunity of reconstruction of local CMB temperature anisotropies. In this {\em Letter} we develop an algorithm of the reconstruction through the estimation of the underlying primordial gravitational potential, which is the origin of the CMB temperature and polarization fluctuations and CMB induced polarization in galaxy clusters. We found a nice reconstruction for the quadrupole and octopole components of the CMB temperature anisotropies with the assistance of the CMB induced polarization signals. The reconstruction can be an important consistency test on the puzzles of CMB anomaly, especially for the low quadrupole and axis of evil problems reported in WMAP and Planck data.