Table 2.
Parameter 68% intervals for the base-ΛCDM model from Planck CMB power spectra, in combination with CMB lensing reconstruction and BAO.
| TT+lowE | TE+lowE | EE+lowE | TT,TE,EE+lowE | TT,TE,EE+lowE+lensing | TT,TE,EE+lowE+lensing+BAO | |
|---|---|---|---|---|---|---|
| Parameter | 68% limits | 68% limits | 68% limits | 68% limits | 68% limits | 68% limits |
| Ωbh2 … | 0.02212 ± 0.00022 | 0.02249 ± 0.00025 | 0.0240 ± 0.0012 | 0.02236 ± 0.00015 | 0.02237 ± 0.00015 | 0.02242 ± 0.00014 |
| Ωch2 … | 0.1206 ± 0.0021 | 0.1177 ± 0.0020 | 0.1158 ± 0.0046 | 0.1202 ± 0.0014 | 0.1200 ± 0.0012 | 0.11933 ± 0.00091 |
| 100θMC … | 1.04077 ± 0.00047 | 1.04139 ± 0.00049 | 1.03999 ± 0.00089 | 1.04090 ± 0.00031 | 1.04092 ± 0.00031 | 1.04101 ± 0.00029 |
| τ … | 0.0522 ± 0.0080 | 0.0496 ± 0.0085 | 0.0527 ± 0.0090 |
 |
0.0544 ± 0.0073 | 0.0561 ± 0.0071 |
| ln(1010As) … | 3.040 ± 0.016 |
 |
3.052 ± 0.022 | 3.045 ± 0.016 | 3.044 ± 0.014 | 3.047 ± 0.014 |
| ns … | 0.9626 ± 0.0057 | 0.967 ± 0.011 | 0.980 ± 0.015 | 0.9649 ± 0.0044 | 0.9649 ± 0.0042 | 0.9665 ± 0.0038 |
| H0 [km s−1 Mpc−1] … | 66.88 ± 0.92 | 68.44 ± 0.91 | 69.9 ± 2.7 | 67.27 ± 0.60 | 67.36 ± 0.54 | 67.66 ± 0.42 |
| ΩΛ … | 0.679 ± 0.013 | 0.699 ± 0.012 |
 |
0.6834 ± 0.0084 | 0.6847 ± 0.0073 | 0.6889 ± 0.0056 |
| Ωm … | 0.321 ± 0.013 | 0.301 ± 0.012 |
 |
0.3166 ± 0.0084 | 0.3153 ± 0.0073 | 0.3111 ± 0.0056 |
| Ωmh2 … | 0.1434 ± 0.0020 | 0.1408 ± 0.0019 |
 |
0.1432 ± 0.0013 | 0.1430 ± 0.0011 | 0.14240 ± 0.00087 |
| Ωmh3 … | 0.09589 ± 0.00046 | 0.09635 ± 0.00051 |
 |
0.09633 ± 0.00029 | 0.09633 ± 0.00030 | 0.09635 ± 0.00030 |
| σ8 … | 0.8118 ± 0.0089 | 0.793 ± 0.011 | 0.796 ± 0.018 | 0.8120 ± 0.0073 | 0.8111 ± 0.0060 | 0.8102 ± 0.0060 |
| S8 ≡ σ8(Ωm/0.3)0.5 … | 0.840 ± 0.024 | 0.794 ± 0.024 |
 |
0.834 ± 0.016 | 0.832 ± 0.013 | 0.825 ± 0.011 |
 … |
0.611 ± 0.012 | 0.587 ± 0.012 | 0.583 ± 0.027 | 0.6090 ± 0.0081 | 0.6078 ± 0.0064 | 0.6051 ± 0.0058 |
| zre … | 7.50 ± 0.82 |
 |
 |
7.68 ± 0.79 | 7.67 ± 0.73 | 7.82 ± 0.71 |
| 109As … | 2.092 ± 0.034 | 2.045 ± 0.041 | 2.116 ± 0.047 |
 |
2.100 ± 0.030 | 2.105 ± 0.030 |
| 109Ase−2τ … | 1.884 ± 0.014 | 1.851 ± 0.018 | 1.904 ± 0.024 | 1.884 ± 0.012 | 1.883 ± 0.011 | 1.881 ± 0.010 |
| Age [Gyr] … | 13.830 ± 0.037 | 13.761 ± 0.038 |
 |
13.800 ± 0.024 | 13.797 ± 0.023 | 13.787 ± 0.020 |
| z* … | 1090.30 ± 0.41 | 1089.57 ± 0.42 |
 |
1089.95 ± 0.27 | 1089.92 ± 0.25 | 1089.80 ± 0.21 |
| r* [Mpc] … | 144.46 ± 0.48 | 144.95 ± 0.48 | 144.29 ± 0.64 | 144.39 ± 0.30 | 144.43 ± 0.26 | 144.57 ± 0.22 |
| 100θ* … | 1.04097 ± 0.00046 | 1.04156 ± 0.00049 | 1.04001 ± 0.00086 | 1.04109 ± 0.00030 | 1.04110 ± 0.00031 | 1.04119 ± 0.00029 |
| zdrag … | 1059.39 ± 0.46 | 1060.03 ± 0.54 | 1063.2 ± 2.4 | 1059.93 ± 0.30 | 1059.94 ± 0.30 | 1060.01 ± 0.29 |
| rdrag [Mpc] … | 147.21 ± 0.48 | 147.59 ± 0.49 | 146.46 ± 0.70 | 147.05 ± 0.30 | 147.09 ± 0.26 | 147.21 ± 0.23 |
| kD [Mpc−1] … | 0.14054 ± 0.00052 | 0.14043 ± 0.00057 | 0.1426 ± 0.0012 | 0.14090 ± 0.00032 | 0.14087 ± 0.00030 | 0.14078 ± 0.00028 |
| zeq … | 3411 ± 48 | 3349 ± 46 |
 |
3407 ± 31 | 3402 ± 26 | 3387 ± 21 |
| keq [Mpc−1] … | 0.01041 ± 0.00014 | 0.01022 ± 0.00014 |
 |
0.010398 ± 0.000094 | 0.010384 ± 0.000081 | 0.010339 ± 0.000063 |
| 100θs, eq … | 0.4483 ± 0.0046 | 0.4547 ± 0.0045 | 0.4562 ± 0.0092 | 0.4490 ± 0.0030 | 0.4494 ± 0.0026 | 0.4509 ± 0.0020 |
 … |
31.2 ± 3.0 | 29.5 ± 2.7 | 29.6 ± 2.8 | 29.4 ± 2.7 | ||
 … |
33.6 ± 2.0 | 32.2 ± 1.9 | 32.3 ± 1.9 | 32.1 ± 1.9 | ||
 … |
108.2 ± 1.9 | 107.0 ± 1.8 | 107.1 ± 1.8 | 106.9 ± 1.8 | ||
Notes. The top group of six rows are the base parameters, which are sampled in the MCMC analysis with flat priors. The middle group lists derived parameters. The bottom three rows show the temperature foreground amplitudes 
for the corresponding frequency spectra (expressed as the contribution to 
in units of (μK)2). In all cases the helium mass fraction used is predicted by BBN (posterior mean YP ≈ 0.2454, with theoretical uncertainties in the BBN predictions dominating over the Planck error on Ωbh2). The reionization redshift mid-point zre and optical depth τ here assumes a simple tanh model (as discussed in the text) for the reionization of hydrogen and simultaneous first reionization of helium. Our baseline results are based on Planck TT,TE,EE+lowE+lensing (as also given in Table 1).
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