On using large scale correlation of the Ly-$\alpha$ forest and redshifted 21-cm signal to probe HI distribution during the post reionization era

Abstract

We investigate the possibility of detecting the 3D cross correlation power spectrum of the Ly-$\alpha$ forest and HI 21 cm signal from the post reionization epoch. The cross-correlation signal is directly dependent on the dark matter power spectrum and is sensitive to the 21-cm brightness temperature and Ly-$\alpha$ forest biases. These bias parameters dictate the strength of anisotropy in redshift space. We find that the cross-correlation power spectrum can be detected using $400\mathrm{hrs}$ observation with SKA-mid (phase 1) and a futuristic BOSS like experiment with a quasar (QSO) density of $30\mathrm{de}{\mathrm{g}}^{-2}$ at a peak SNR of $15$ for a single field experiment at redshift $z=2.5$. We also study the possibility of constraining various bias parameters using the cross power spectrum. We find that with the same experiment $1\sigma$ conditional errors on the 21-cm linear redshift space distortion parameter ${\beta }_T$ and ${\beta }_F$ corresponding to the Ly-$\alpha$ forest are $\sim 2.7\%$ and $\sim 1.4\%$ respectively for $10$ independent pointings of the SKA-mid (phase 1). This prediction indicates a significant improvement over existing measurements. We claim that the detection of the 3D cross correlation power spectrum will not only ascertain the cosmological origin of the signal in presence of astrophysical foregrounds but will also provide stringent constraints on large scale HI biases. This provides an independent probe towards understanding cosmological structure formation.

21 pages, moderate changes, accepted for publication in JCAP

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Cited by in corpus (17)

• Modelling the post-reionization neutral Hydrogen (\HI) bias
• Modeling the Lyman-alpha Forest in Collisionless Simulations
• The cross-correlation between 21cm intensity mapping maps and the Lyman-alpha forest in the post-reionization era
• Probing Compensated Isocurvature with the 21-cm Signal during Cosmic Dawn
• Post-reionization HI 21-cm signal: A probe of negative cosmological constant
• Fisher Matrix Based Predictions for Measuring the z = 3.35 Binned 21-cm Power Spectrum using the Ooty Wide Field Array (OWFA)
• Constraining Neutrino mass using the large scale HI distribution in the Post-reionization epoch
• The redshifted HI 21 cm signal from the post-reionization epoch: Cross-correlations with other cosmological probes
• Predictions for measuring the cross power spectrum of the HI 21-cm signal and the Lyman-$\alpha$ forest using OWFA
• Prospects of probing quintessence with HI 21-cm intensity mapping survey
• 21 cm power spectrum in interacting cubic Galileon model
• Probing Quintessence using BAO imprint on the cross-correlation of weak lensing and post-reionization HI 21 cm signal
• Intensity mapping of post-reionization 21-cm signal and its cross-correlations as a probe of $f(R)$ gravity
• Constraining warm dark matter power spectrum using the cross-correlation of HI 21 cm signal and the Lyman-$\alpha$ forest
• Reionization relics in the cross-correlation between the Ly$\alpha$ forest and 21 cm intensity mapping in the post-reionization era
• A semi-cosmographic approach to study cosmological evolution in phase space
• Probing dark energy using anisotropies in the clustering of post-EoR HI distribution