Planck 2018 results
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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 ≡ σ8m/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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