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Scale Dependent Spectral Index in Slow Roll Inflation

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abstract

Recent observations suggest that the spectral index of the primordial perturbations is very close to unity, as expected in models of slow roll inflation. It is still possible for such models to produce spectra which are scale dependent. We present a formula for the spectrum produced by an arbitrary inflaton potential (within the context of slow roll models); this formula explicitly illustrates and accounts for the possiblity of scale dependence. A class of examples are studied and comparisons made with the standard slow roll formula.

fields

astro-ph.CO 1

years

2026 1

verdicts

UNVERDICTED 1

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  • Raising the reionization optical depth with inflationary CMB features astro-ph.CO · 2026-06-18 · unverdicted · none · ref 23 · internal anchor

    Marginalizing over generalized slow-roll inflationary templates for the CMB low-power feature raises the 95% upper limit on τ to 0.075 (Planck) or 0.082 (all CMB+BAO), resolving incompatibility with lower bounds.