Table 4
Parameter 68% confidence limits for the base ΛCDM model from Planck CMB power spectra, in combination with lensing reconstruction (“lensing”) and external data (“ext”, BAO+JLA+H0).
TT+lowP | TT+lowP+lensing | TT+lowP+lensing+ext | TT,TE,EE+lowP | TT,TE,EE+lowP+lensing | TT,TE,EE+lowP+lensing+ext | |
Parameter | 68% limits | 68% limits | 68% limits | 68% limits | 68% limits | 68% limits |
|
||||||
Ωbh2 .................................................... | 0.02222 ± 0.00023 | 0.02226 ± 0.00023 | 0.02227 ± 0.00020 | 0.02225 ± 0.00016 | 0.02226 ± 0.00016 | 0.02230 ± 0.00014 |
Ωch2 .................................................... | 0.1197 ± 0.0022 | 0.1186 ± 0.0020 | 0.1184 ± 0.0012 | 0.1198 ± 0.0015 | 0.1193 ± 0.0014 | 0.1188 ± 0.0010 |
100θMC .................................................... | 1.04085 ± 0.00047 | 1.04103 ± 0.00046 | 1.04106 ± 0.00041 | 1.04077 ± 0.00032 | 1.04087 ± 0.00032 | 1.04093 ± 0.00030 |
τ .................................................... | 0.078 ± 0.019 | 0.066 ± 0.016 | 0.067 ± 0.013 | 0.079 ± 0.017 | 0.063 ± 0.014 | 0.066 ± 0.012 |
ln(1010As) .................................................... | 3.089 ± 0.036 | 3.062 ± 0.029 | 3.064 ± 0.024 | 3.094 ± 0.034 | 3.059 ± 0.025 | 3.064 ± 0.023 |
n s .................................................... | 0.9655 ± 0.0062 | 0.9677 ± 0.0060 | 0.9681 ± 0.0044 | 0.9645 ± 0.0049 | 0.9653 ± 0.0048 | 0.9667 ± 0.0040 |
|
||||||
H 0 .................................................... | 67.31 ± 0.96 | 67.81 ± 0.92 | 67.90 ± 0.55 | 67.27 ± 0.66 | 67.51 ± 0.64 | 67.74 ± 0.46 |
ΩΛ .................................................... | 0.685 ± 0.013 | 0.692 ± 0.012 | 0.6935 ± 0.0072 | 0.6844 ± 0.0091 | 0.6879 ± 0.0087 | 0.6911 ± 0.0062 |
Ωm .................................................... | 0.315 ± 0.013 | 0.308 ± 0.012 | 0.3065 ± 0.0072 | 0.3156 ± 0.0091 | 0.3121 ± 0.0087 | 0.3089 ± 0.0062 |
Ωmh2 .................................................... | 0.1426 ± 0.0020 | 0.1415 ± 0.0019 | 0.1413 ± 0.0011 | 0.1427 ± 0.0014 | 0.1422 ± 0.0013 | 0.14170 ± 0.00097 |
Ωmh3 .................................................... | 0.09597 ± 0.00045 | 0.09591 ± 0.00045 | 0.09593 ± 0.00045 | 0.09601 ± 0.00029 | 0.09596 ± 0.00030 | 0.09598 ± 0.00029 |
σ 8 .................................................... | 0.829 ± 0.014 | 0.8149 ± 0.0093 | 0.8154 ± 0.0090 | 0.831 ± 0.013 | 0.8150 ± 0.0087 | 0.8159 ± 0.0086 |
![]() |
0.466 ± 0.013 | 0.4521 ± 0.0088 | 0.4514 ± 0.0066 | 0.4668 ± 0.0098 | 0.4553 ± 0.0068 | 0.4535 ± 0.0059 |
![]() |
0.621 ± 0.013 | 0.6069 ± 0.0076 | 0.6066 ± 0.0070 | 0.623 ± 0.011 | 0.6091 ± 0.0067 | 0.6083 ± 0.0066 |
z re .................................................... |
![]() |
![]() |
![]() |
![]() |
![]() |
![]() |
109As .................................................... |
![]() |
2.139 ± 0.063 | 2.143 ± 0.051 | 2.207 ± 0.074 | 2.130 ± 0.053 | 2.142 ± 0.049 |
109Ase− 2τ .................................................... | 1.880 ± 0.014 | 1.874 ± 0.013 | 1.873 ± 0.011 | 1.882 ± 0.012 | 1.878 ± 0.011 | 1.876 ± 0.011 |
Age / Gyr .................................................... | 13.813 ± 0.038 | 13.799 ± 0.038 | 13.796 ± 0.029 | 13.813 ± 0.026 | 13.807 ± 0.026 | 13.799 ± 0.021 |
z ∗ .................................................... | 1090.09 ± 0.42 | 1089.94 ± 0.42 | 1089.90 ± 0.30 | 1090.06 ± 0.30 | 1090.00 ± 0.29 | 1089.90 ± 0.23 |
r ∗ .................................................... | 144.61 ± 0.49 | 144.89 ± 0.44 | 144.93 ± 0.30 | 144.57 ± 0.32 | 144.71 ± 0.31 | 144.81 ± 0.24 |
100θ∗ .................................................... | 1.04105 ± 0.00046 | 1.04122 ± 0.00045 | 1.04126 ± 0.00041 | 1.04096 ± 0.00032 | 1.04106 ± 0.00031 | 1.04112 ± 0.00029 |
z drag .................................................... | 1059.57 ± 0.46 | 1059.57 ± 0.47 | 1059.60 ± 0.44 | 1059.65 ± 0.31 | 1059.62 ± 0.31 | 1059.68 ± 0.29 |
r drag .................................................... | 147.33 ± 0.49 | 147.60 ± 0.43 | 147.63 ± 0.32 | 147.27 ± 0.31 | 147.41 ± 0.30 | 147.50 ± 0.24 |
k D .................................................... | 0.14050 ± 0.00052 | 0.14024 ± 0.00047 | 0.14022 ± 0.00042 | 0.14059 ± 0.00032 | 0.14044 ± 0.00032 | 0.14038 ± 0.00029 |
z eq .................................................... | 3393 ± 49 | 3365 ± 44 | 3361 ± 27 | 3395 ± 33 | 3382 ± 32 | 3371 ± 23 |
k eq .................................................... | 0.01035 ± 0.00015 | 0.01027 ± 0.00014 | 0.010258 ± 0.000083 | 0.01036 ± 0.00010 | 0.010322 ± 0.000096 | 0.010288 ± 0.000071 |
100θs,eq .................................................... | 0.4502 ± 0.0047 | 0.4529 ± 0.0044 | 0.4533 ± 0.0026 | 0.4499 ± 0.0032 | 0.4512 ± 0.0031 | 0.4523 ± 0.0023 |
|
||||||
![]() |
29.9 ± 2.9 | 30.4 ± 2.9 | 30.3 ± 2.8 | 29.5 ± 2.7 | 30.2 ± 2.7 | 30.0 ± 2.7 |
![]() |
32.4 ± 2.1 | 32.8 ± 2.1 | 32.7 ± 2.0 | 32.2 ± 1.9 | 32.8 ± 1.9 | 32.6 ± 1.9 |
![]() |
106.0 ± 2.0 | 106.3 ± 2.0 | 106.2 ± 2.0 | 105.8 ± 1.9 | 106.2 ± 1.9 | 106.1 ± 1.8 |
Notes. While we see no evidence that systematic effects in polarization are biasing parameters in the base ΛCDM model, a conservative choice would be to use the parameter values listed in Col. 3 (i.e., for TT+lowP+lensing). Nuisance parameters are not listed here for brevity, but can be found in the extensive tables on the Planck Legacy Archive, http://pla.esac.esa.int/pla; however, the last three parameters listed here give a summary measure of the total foreground amplitude (in μK2) at ℓ = 2000 for the three high-ℓ temperature power spectra used by the likelihood. In all cases the helium mass fraction used is predicted by BBN from the baryon abundance (posterior mean YP ≈ 0.2453, with theoretical uncertainties in the BBN predictions dominating over the Planck error on Ωbh2). The Hubble constant is given in units of km s-1 Mpc-1, while r∗ is in Mpc and wavenumbers are in Mpc-1.
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.