Spin Needlets for Cosmic Microwave Background Polarization Data Analysis

Understand

Scalar wavelets have been used extensively in the analysis of Cosmic Microwave Background (CMB) temperature maps.

• Spin needlets are a new form of (spin) wavelets which were introduced in the mathematical literature by Geller and Marinucci (2008) as a tool for the analysis of spin random fields.
• Here we adopt the spin needlet approach for the analysis of CMB polarization measurements.
• The outcome of experiments measuring the polarization of the CMB are maps of the Stokes Q and U parameters which are spin 2 quantities.