21 cm Angular Power Spectrum from Minihalos as a Probe of Primordial Spectral Runnings

Abstract

Measurements of 21 cm line fluctuations from minihalos have been discussed as a powerful probe of a wide range of cosmological models. However, previous studies have taken into account only the pixel variance, where contributions from different scales are integrated. In order to sort out information from different scales, we formulate the angular power spectrum of 21 cm line fluctuations from minihalos at different redshifts, which can enhance the constraining power enormously. By adopting this formalism, we investigate expected constraints on parameters characterizing the primordial power spectrum, particularly focusing on the spectral index $n_s$ and its runnings ${\alpha }_s$ and ${\beta }_s$. We show that future observations of 21 cm line fluctuations from minihalos, in combination with cosmic microwave background, can potentially probe these runnings as ${\alpha }_s\sim \mathcal{O}(10^{-3})$ and ${\beta }_s\sim \mathcal{O}(10^{-4})$. Its implications to the test of inflationary models are also discussed.

26 pages, 7 figures, 6 tables

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• The 21-cm signals from ultracompact minihalos as a probe of primordial small-scale fluctuations
• Probing primordial non-Gaussianity with 21 cm fluctuations from minihalos
• Probing Small Scale Primordial Power Spectrum with 21cm Line Global Signal
• Enlightening the dark ages with dark matter
• Probing the primordial Universe with 21-cm line from cosmic dawn/epoch of reionization
• Constraint on the early-formed dark matter halos using the free-free emission in the Planck foreground analysis
• Generation of inflationary perturbations in the continuous spontaneous localization model: The second order power spectrum
• Probing axion dark matter with 21cm fluctuations from minihalos
• Nonminimally Assisted Inflation: A General Analysis
• Impact of the primordial fluctuation power spectrum on the reionization history
• 21-cm power spectrum and ionization bias as a probe of long-mode modulated non Gaussian sky
• Cosmological free-free emission from dark matter halos in the $\Lambda$CDM model