Non-parametric knot-based reconstruction of the primordial power spectrum P_R(k) from BOSS+eBOSS data up to k=0.3 h/Mpc favors a quasi-scale-invariant power law and constrains n_s = 0.976 ± 0.021 with no evidence for primordial features.
Reconstructing the primordial power spectrum from the CMB
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abstract
We propose a straightforward and model independent methodology for characterizing the sensitivity of CMB and other experiments to wiggles, irregularities, and features in the primordial power spectrum. Assuming that the primordial cosmological perturbations are adiabatic, we present a function space generalization of the usual Fisher matrix formalism, applied to a CMB experiment resembling Planck with and without ancillary data. This work is closely related to other work on recovering the inflationary potential and exploring specific models of non-minimal, or perhaps baroque, primordial power spectra. The approach adopted here, however, most directly expresses what the data is really telling us. We explore in detail the structure of the available information and quantify exactly what features can be reconstructed and at what statistical significance.
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astro-ph.CO 2representative citing papers
Updated Planck CMB measurements give ns = 0.9649 ± 0.0042, r < 0.056, confirm flatness at 0.4 percent, and show no evidence for scale-dependent features or non-slow-roll dynamics in the inflaton potential.
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Primordial power spectrum reconstructions from BOSS + eBOSS
Non-parametric knot-based reconstruction of the primordial power spectrum P_R(k) from BOSS+eBOSS data up to k=0.3 h/Mpc favors a quasi-scale-invariant power law and constrains n_s = 0.976 ± 0.021 with no evidence for primordial features.
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Planck 2018 results. X. Constraints on inflation
Updated Planck CMB measurements give ns = 0.9649 ± 0.0042, r < 0.056, confirm flatness at 0.4 percent, and show no evidence for scale-dependent features or non-slow-roll dynamics in the inflaton potential.