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An unexpected distribution of temperatures in the CMB could be a sign of newphysics. In particular, the existence of cosmic defects could be indicated bytemperature discontinuities via the Kaiser-Stebbins effect. In this paper, weshow how performing finite differences on a CMB map, with the noise regularizedin harmonic space, may expose such discontinuities, and we report the resultsof this process on the 7-year Wilkinson Microwave Anisotropy Probe data.

Improved Method for Detecting Local Discontinuities in CMB data by Finite Differencing