A Model for Dipole Modulation of CMBR Polarization
Rahul Kothari
TL;DR
This paper introduces a mathematical model for dipole modulation in CMBR polarization, revealing specific multipole correlations and providing a detailed analysis of E and B mode interactions.
Contribution
It presents a novel mathematical framework for understanding dipole modulation effects in CMBR polarization fields Q and U.
Findings
Dipole modulation causes correlations between specific multipole moments.
The model shows cancellation of contributions for certain multipole cases.
Provides a closed-form expression for E and B mode correlations.
Abstract
I propose a model of dipole modulation in Cosmic Background Microwave Radiation (CMBR) polarization fields Q and U. It is shown that the modulation leads to correlations between l and l multipoles where either l = l or l = l \pm 1, but the contribution for the case l = l cancels out after summing over m. We perform a detailed mathematical analysis of the E and B mode correlations and obtain the final result in a closed form.
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Taxonomy
TopicsAtomic and Subatomic Physics Research · Nuclear Physics and Applications · Superconducting Materials and Applications