Improved Method for Detecting Local Discontinuities in CMB data by Finite Differencing
Jude Bowyer, Andrew H. Jaffe

TL;DR
This paper introduces a finite differencing technique in harmonic space to detect temperature discontinuities in CMB data, aiming to identify potential signs of new physics like cosmic defects.
Contribution
The paper presents a novel finite differencing method with harmonic space noise regularization for detecting discontinuities in CMB maps, improving sensitivity to cosmic defects.
Findings
Successfully applied to WMAP 7-year data
Detected potential temperature discontinuities
Method enhances detection of cosmic defects
Abstract
An unexpected distribution of temperatures in the CMB could be a sign of new physics. In particular, the existence of cosmic defects could be indicated by temperature discontinuities via the Kaiser-Stebbins effect. In this paper, we show how performing finite differences on a CMB map, with the noise regularized in harmonic space, may expose such discontinuities, and we report the results of this process on the 7-year Wilkinson Microwave Anisotropy Probe data.
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