Constraining cosmology with the cosmic microwave and infrared backgrounds correlation
A. S. Maniyar, G.Lagache, M. B\'ethermin, S. Ili\'c

TL;DR
This paper investigates the potential of using the cosmic infrared background as a tracer for large-scale structure to detect the ISW effect through cross-correlation with the CMB, highlighting the importance of dust cleaning for successful detection.
Contribution
It provides a theoretical prediction of the CIBxISW cross-correlation and analyzes the impact of galactic dust contamination on ISW detection prospects.
Findings
High SNR for ISW detection possible on 40% sky with ideal dust removal.
Residual galactic dust significantly reduces the SNR, hindering ISW detection.
Current maps with typical dust residuals do not detect the ISW signal.
Abstract
We explore the use of the cosmic infrared background as a tracer of the LSS for cross-correlating with the CMB and exploit the ISW. We use the improved linear CIB model of Maniyar et al (2018) and derive the theoretical CIBxISW cross-correlation for Planck HFI frequencies 217, 353, 545 and 857 GHz and IRAS 3000 GHz. We predict a positive cross-correlation between the CIB and CMB whose amplitude decreases rapidly at small scales. We perform a signal-to-noise ratio (SNR) analysis on this cross-correlation. In the ideal case of the cross-correlation obtained over 70% (40%) of the sky with no residual contaminants (e.g. galactic dust) in maps, the SNR ranges from 4.2-5.6 (3.2-4.3) with the highest for 857 GHz. A Fisher matrix analysis shows that an ISW signal detected with such high SNR on the 40% sky can improve the constraints on the cosmological parameters considerably; constraints on…
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