Table 5.
Constraints on standard cosmological parameters from Planck TT,TE,EE+lowE+lensing when the base-ΛCDM model is extended by varying additional parameters.
Parameter(s) | Ωbh2 | Ωch2 | 100θMC | H0 | ns | ln(1010As) |
---|---|---|---|---|---|---|
Base ΛCDM …… | 0.02237 ± 0.00015 | 0.1200 ± 0.0012 | 1.04092 ± 0.00031 | 67.36 ± 0.54 | 0.9649 ± 0.0042 | 3.044 ± 0.014 |
r …… | 0.02237 ± 0.00014 | 0.1199 ± 0.0012 | 1.04092 ± 0.00031 | 67.40 ± 0.54 | 0.9659 ± 0.0041 | 3.044 ± 0.014 |
dns/dlnk …… | 0.02240 ± 0.00015 | 0.1200 ± 0.0012 | 1.04092 ± 0.00031 | 67.36 ± 0.53 | 0.9641 ± 0.0044 | 3.047 ± 0.015 |
dns/dlnk, r …… | 0.02243 ± 0.00015 | 0.1199 ± 0.0012 | 1.04093 ± 0.00030 | 67.44 ± 0.54 | 0.9647 ± 0.0044 | 3.049 ± 0.015 |
d2ns/dlnk2, dns/dlnk …… | 0.02237 ± 0.00016 | 0.1202 ± 0.0012 | 1.04090 ± 0.00030 | 67.28 ± 0.56 | 0.9625 ± 0.0048 | 3.049 ± 0.015 |
Neff …… | 0.02224 ± 0.00022 | 0.1179 ± 0.0028 | 1.04116 ± 0.00043 | 66.3 ± 1.4 | 0.9589 ± 0.0084 | 3.036 ± 0.017 |
Neff, dns/dlnk …… | 0.02216 ± 0.00022 | 0.1157 ± 0.0032 | 1.04144 ± 0.00048 | 65.2 ± 1.6 | 0.950 ± 0.011 | 3.034 ± 0.017 |
Σmν …… | 0.02236 ± 0.00015 | 0.1201 ± 0.0013 | 1.04088 ± 0.00032 |
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0.9647 ± 0.0043 | 3.046 ± 0.015 |
Σmν, Neff …… | 0.02221 ± 0.00022 |
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1.04116 ± 0.00044 |
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0.9582 ± 0.0086 | 3.037 ± 0.017 |
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α−1 …… | 0.02238 ± 0.00015 | 0.1201 ± 0.0015 | 1.04087 ± 0.00043 | 67.30 ± 0.67 | 0.9645 ± 0.0061 | 3.045 ± 0.014 |
w0 …… | 0.02243 ± 0.00015 | 0.1193 ± 0.0012 | 1.04099 ± 0.00031 | … | 0.9666 ± 0.0041 | 3.038 ± 0.014 |
ΩK …… | 0.02249 ± 0.00016 | 0.1185 ± 0.0015 | 1.04107 ± 0.00032 |
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0.9688 ± 0.0047 |
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YP …… | 0.02230 ± 0.00020 | 0.1201 ± 0.0012 | 1.04067 ± 0.00055 | 67.19 ± 0.63 | 0.9621 ± 0.0070 | 3.042 ± 0.016 |
YP, Neff …… | 0.02224 ± 0.00022 |
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1.0415 ± 0.0012 |
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0.9589 ± 0.0085 | 3.036 ± 0.018 |
AL …… | 0.02251 ± 0.00017 | 0.1182 ± 0.0015 | 1.04110 ± 0.00032 | 68.16 ± 0.70 | 0.9696 ± 0.0048 |
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Notes. The constraint on τ is also stable but not shown for brevity; however, we include H0 (in km s−1 Mpc−1) as a derived parameter (which is very poorly constrained from Planck alone in the ΛCDM+w0 extension). Here α−1 is a matter isocurvature amplitude parameter, following PCP15. All limits are 68% in this table. The results assume standard BBN except when varying YP independently (which requires non-standard BBN). Varying AL is not a physical model (see Sect. 6.2)
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