Cross-Correlation of Diffuse Synchrotron and Large-Scale Structures
Shea Brown, Damon Farnsworth, Lawrence Rudnick

TL;DR
This study investigates the potential of cross-correlating radio synchrotron emission with large-scale structure tracers to detect diffuse intergalactic medium signals, demonstrating the method's sensitivity and future applicability despite a null result.
Contribution
First application of cross-correlation between radio synchrotron emission and large-scale structure tracers to detect diffuse IGM/WHIM signals, assessing detection thresholds and future survey prospects.
Findings
Null result obtained in current data.
Detection thresholds suggest possible signals at microGauss magnetic fields.
Method shows promise for upcoming sensitive surveys.
Abstract
We explore for the first time the method of cross-correlation of radio synchrotron emission and tracers of large-scale structure in order to detect the diffuse IGM/WHIM. We performed a cross-correlation of a 34 x 34 degree area of 2MASS galaxies for two redshift slices (0.03 < z < 0.04 and 0.06 < z < 0.07) with the corresponding region of the 1.4 GHz Bonn survey. For this analysis, we assumed that the synchrotron surface brightness is linearly proportional to surface density of galaxies. We also sampled the cross-correlation function using 24 distant fields of the same size from the Bonn survey, to better assess the noise properties. Though we obtained a null result, we found that by adding a signal weighted by the 2MASS image with a filament (peak) surface brightness of 1 (7) mK and 7 (49) mK would produce a 3 sigma positive correlation for the 0.03 < z < 0.04 and 0.06 < z < 0.07…
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