Real Space Approach to CMB deboosting
Amanda Yoho, Craig J. Copi, Glenn D. Starkman, Thiago S. Pereira

TL;DR
This paper introduces a real-space numerical method to remove the effects of our Galaxy's motion from CMB temperature maps, enabling more accurate power spectrum analysis by addressing mode-mixing issues caused by Lorentz boosts.
Contribution
It presents a novel real-space approach and a high-resolution boost kernel calculation to effectively deboost CMB maps, improving accuracy over traditional multipole space methods.
Findings
A 1% bias in the binned power spectrum at l~2000 due to pixelization.
Mode mixing confirmed among spherical harmonic coefficients.
No significant additional errors from galactic cuts or full-sky analysis.
Abstract
The effect of our Galaxy's motion through the Cosmic Microwave Background rest frame, which aberrates and Doppler shifts incoming photons measured by current CMB experiments, has been shown to produce mode-mixing in the multipole space temperature coefficients. However, multipole space determinations are subject to many difficulties, and a real-space analysis can provide a straightforward alternative. In this work we describe a numerical method for removing Lorentz- boost effects from real-space temperature maps. We show that to deboost a map so that one can accurately extract the temperature power spectrum requires calculating the boost kernel at a finer pixelization than one might naively expect. In idealized cases that allow for easy comparison to analytic results, we have confirmed that there is indeed mode mixing among the spherical harmonic coefficients of the temperature. We find…
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