Planck 2015 results
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Fig. 45

image

Constraints on the primordial isocurvature fraction, βiso, at klow = 0.002 Mpc-1 and khigh = 0.100 Mpc-1, the primordial correlation fraction, cosΔ, the adiabatic spectral index, nℛℛ, the isocurvature spectral index, nℐℐ, and the correlation spectral index, nℛℐ = (nℛℛ + nℐℐ) / 2, with Planck TT+lowP data (dashed curves) and TT, TE, EE+lowP data (solid curves), for the generally-correlated mixed ADI+CDI (black), ADI+NDI (red), and ADI+NVI (blue) models. All these parameters are derived, and the distributions shown here result from a uniform prior on the primary parameters, as detailed in Eqs. (132)–(134). However, the effect of the non-flat derived-parameter priors is negligible for all parameters except for nℐℐ (and nℛℐ) where the prior biases the distribution toward one. With TT+lowP, the flatness of βiso(khigh) in the CDI case up to a “threshold” value of about 0.5 is a consequence of the (k/keq)-2 damping of its transfer function as explained in Footnote 17.

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