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arXiv · 0810.3649

The CMBR ISW and HI 21-cm Cross-correlation Angular Power Spectrum

Tapomoy Guha Sarkar·Kanan K. Datta·Somnath Bharadwaj
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Abstract

The late-time growth of large scale structures (LSS) is imprinted in the CMBR anisotropy through the Integrated Sachs Wolfe (ISW) effect. This is perceived to be a very important observational probe of dark energy. Future observations of redshifted 21-cm radiation from the cosmological neutral hydrogen (HI) distribution hold the potential of probing the LSS over a large redshift range. We have investigated the possibility of detecting the ISW through cross-correlations between the CMBR anisotropies and redshifted 21-cm observations. Assuming that the HI traces the dark matter, we find that the ISW-HI cross-correlation angular power spectrum at an angular multipole l is proportional to the dark matter power spectrum evaluated at the comoving wave number l/r, where r is the comoving distance to the redshift from which the HI signal originated. The amplitude of the cross-correlation signal depends on parameters related to the HI distribution and the growth of cosmological perturbations. However the cross-correlation is extremely weak as compared to the CMBR anisotropies and the predicted HI signal. As a consequence the cross-correlation signal is smaller than the cosmic variance, and a statistically significant detection is not very likely.

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Tapomoy Guha Sarkar, Kanan K. Datta, Somnath Bharadwaj. 2009-07-22. The CMBR ISW and HI 21-cm Cross-correlation Angular Power Spectrum. https://doi.org/10.1088/1475-7516/2009/08/019

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