Constraints on Primordial non-Gaussianity from Future HI Intensity Mapping Experiments

Abstract

The primordial non-Gaussianity induces scale-dependent bias of the \hi with respect to the underlying dark matter, which exhibits features on the very large scales of the 21-cm power spectrum potentially observable with \hi intensity mapping observations. We forecast the prospective constraints on the four fundamental shapes of primordial non-Gaussianity (local, equilateral, orthogonal, and enfolded), with the current and future \hi intensity mapping experiments, BINGO, FAST, and SKA-I. With the current configuration of the experiments and assumed one-year observation time, we find that the SKA-I will provide tighter constraints on the local shape of primoridal non-Gaussianity than Planck. The results are $({\sigma }_{f_{\mathrm{NL}}^{\mathrm{local}}},{\sigma }_{f_{\mathrm{NL}}^{\mathrm{equil}}},{\sigma }_{f_{\mathrm{NL}}^{\mathrm{orth}}},{\sigma }_{f_{\mathrm{NL}}^{\mathrm{enfold}}}{)}_{\mathrm{SKA}-\mathrm{I}}=(0.54,86,25,43)$, $({\sigma }_{f_{\mathrm{NL}}^{\mathrm{local}}},{\sigma }_{f_{\mathrm{NL}}^{\mathrm{equil}}},{\sigma }_{f_{\mathrm{NL}}^{\mathrm{orth}}},{\sigma }_{f_{\mathrm{NL}}^{\mathrm{enfold}}}{)}_{\mathrm{BINGO}}=(17,100,128,164)$, $({\sigma }_{f_{\mathrm{NL}}^{\mathrm{local}}},{\sigma }_{f_{\mathrm{NL}}^{\mathrm{equil}}},{\sigma }_{f_{\mathrm{NL}}^{\mathrm{orth}}},{\sigma }_{f_{\mathrm{NL}}^{\mathrm{enfold}}}{)}_{\mathrm{FAST}}=(9.5,44,75,94)$. If the lower frequency band of FAST can be used, the constraint on local-type primordial non-Gaussianity will be ${\sigma }_{f_{\mathrm{NL}}}\sim 1.62$ which is better than Planck. In addition, if the observation time for FAST could be extended to two years, the constraint on the equilateral shape of primordial non-Gaussianity would be improved to ${\sigma }_{f_{\mathrm{NL}}}\sim 32$. Similarly, if the observational time of SKA-I could be extended to two years, the constraint on local and orthogonal shapes could be improved to $0.43$ and $20$, respectively, achieving better constraints than Planck.

11 pages, 6 figures

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