Table 12
Isocurvature mode constraints from Planck+WP data.
Model | βiso(klow) | βiso(kmid) | βiso(khigh) |
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Δn | −2Δlnℒmax |
|
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General model: | ||||||||
CDM isocurvature | 0.075 | 0.39 | 0.60 | [0.98:1.07] | 0.039 | [–0.093:0.014] | 4 | –4.6 |
ND isocurvature | 0.27 | 0.27 | 0.32 | [0.99:1.09] | 0.093 | [–0.18:0] | 4 | –4.2 |
NV isocurvature | 0.18 | 0.14 | 0.17 | [0.96:1.05] | 0.068 | [–0.090:0.026] | 4 | –2.5 |
|
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Special CDM isocurvature cases: | ||||||||
Uncorrelated, nℐℐ = 1 (“axion”) | 0.036 | 0.039 | 0.040 | [0.98:1] | 0.016 | – | 1 | 0 |
Fully correlated, nℐℐ = nℛℛ (“curvaton”) | 0.0025 | 0.0025 | 0.0025 | [0.97:1] | 0.0011 | [0:0.028] | 1 | 0 |
Fully anti-correlated, nℐℐ = nℛℛ | 0.0087 | 0.0087 | 0.0087 | [1:1.06] | 0.0046 | [–0.067:0] | 1 | –1.3 |
Notes. For each model, we report the 95% CL upper bound on the fractional primordial contribution of isocurvature modes at three comoving wavenumbers (klow = 0.002 Mpc-1, kmid = 0.05 Mpc-1, and khigh = 0.10 Mpc-1), and the 95% CL bounds on the fractional contribution αℛℛ,αℐℐ, and αℛℐ to the total CMB temperature anisotropy in the range 2 ≤ ℓ ≤ 2500. We also report −2Δlnℒmax for the best fitting model in each case, relative to the best fit 6-parameter ΛCDM model, with the number of additional parameters Δn. In the Gaussian approximation, −2Δlnℒmax corresponds to Δχ2. The general models have six parameters that specify the primordial correlation matrix at two scales k1 and k2, thus allowing all spectral indices to vary (so, four parameters more than the pure adiabatic model).
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