Cross-correlation of the phases of the CMB and foregrounds derived from the WMAP data

We present circular and linear cross-correlation tests and the ‘friend-of-friend’ analysis for phases of the Internal Linear Combination Map (ILC) and the WMAP foregrounds for all K−W frequency bands at the range of multipoles l≤ 100. We also compare Tegmark, de Oliveira-Costa & Hamilton and Naselsky et al. cleaned maps with corresponding foregrounds. We have found significant deviations from the expected Poissonian statistics for all the cleaned maps and foregrounds. Our analysis shows that, for a low multipole range of the cleaned maps, power spectra contain some of the foregrounds residuals mainly from the W band.