Running-Mass Inflation Model and Primordial Black Holes
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We revisit the question whether the running-mass inflation model allows the formation of Primordial Black Holes (PBHs) that are sufficiently long-lived to serve as candidates for Dark Matter. We incorporate recent cosmological data, including the WMAP 7-year results. Moreover, we include "the running of the running" of the spectral index of the power spectrum, as well as the renormalization group "running of the running" of the inflaton mass term. Our analysis indicates that formation of sufficiently heavy, and hence long-lived, PBHs still remains possible in this scenario. As a by-product, we show that the additional term in the inflaton potential still does not allow significant negative running of the spectral index.
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Blue-tilted Runnings and the JWST Early Galaxy Tension
A blue-tilted spectrum with running parameters α_s ≈ 0.2 and β_s ≈ 0.2 resolves the JWST early-galaxy abundance tension at 1σ in a joint CMB analysis.
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