Table 3.
Best-fit values with the corresponding 1σ error bars for the cosmological and nuisance parameters of the second case: SNIa and BAO data.
| Case | Model | h1 | h2 | h3 | h4 | h5 | h6 | H0rd | H0 | rd | Ωm | α | β | M | ΔM | ϵ | δ | χ2/d.o.f | P(χ2, ν) |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| ΛCDM | − | − | − | − | − | − | 10130 ± 128 | − | − | 0.291 ± 0.017 | 0.1413 ± 0.0066 | 3.102 ± 0.080 | 24.110 ± 0.019 | −0.070 ± 0.023 | − | − | 698.06/750 | 0.912 | |
| SNIa+BAO free H0rd | Splines | 1.050 ± 0.013 | 1.133 ± 0.015 | 1.386 ± 0.024 | 1.600 ± 0.078 | 2.15 ± 0.14 | 3.418 ± 0.087 | 10060 ± 83 | − | − | − | 0.1410 ± 0.0066 | 3.099 ± 0.078 | 24.120 ± 0.018 | −0.070 ± 0.022 | − | − | 695.65/745 | 0.902 |
| CS (4 knots) | (1.10) | (1.25) | (1.57) | (1.80) | 2.32 ± 0.15 | 3.761 ± 0.098 | 9160 ± 71 | − | − | − | 0.1382 ± 0.0066 | 3.073 ± 0.080 | 24.230 ± 0.017 | −0.077 ± 0.023 | − | − | 738.73/749 | 0.598 | |
| ΛCDM | − | − | − | − | − | − | 10130 ± 139 | − | − | 0.291 ± 0.019 | 0.1413 ± 0.0066 | 3.103 ± 0.080 | 24.110 ± 0.058 | −0.070 ± 0.023 | 0.000 ± 0.080 | 0.20 ± 0.19 | 698.06/748 | 0.904 | |
| SNIa+ev+BAO free H0rd | Splines | 1.122 ± 0.051 | 1.247 ± 0.078 | 1.517 ± 0.093 | 1.79 ± 0.15 | 2.34 ± 0.20 | 3.71 ± 0.22 | 9263 ± 500 | − | − | − | 0.1414 ± 0.0066 | 3.100 ± 0.081 | 23.93 ± 0.12 | −0.070 ± 0.023 | 0.41 ± 0.26 | 0.20 ± 0.17 | 693.21/743 | 0.904 |
| CS (4 knots) | (1.10) | (1.25) | (1.57) | (1.80) | 2.37 ± 0.15 | 3.753 ± 0.092 | 9156 ± 62 | − | − | − | 0.1416 ± 0.0066 | 3.104 ± 0.079 | 24.050 ± 0.093 | −0.070 ± 0.023 | 0.322 ± 0.076 | 0.41 ± 0.24 | 697.80/747 | 0.901 | |
| ΛCDM | − | − | − | − | − | − | − | 68.75 ± 0.93 | 147.40 ± 0.70 | 0.291 ± 0.017 | 0.1413 ± 0.0066 | 3.103 ± 0.080 | 24.110 ± 0.019 | −0.070 ± 0.023 | − | − | 698.06/750 | 0.912 | |
| SNIa+BAO prior rd | Splines | 1.050 ± 0.021 | 1.133 ± 0.021 | 1.387 ± 0.036 | 1.600 ± 0.080 | 2.15 ± 0.14 | 3.42 ± 0.10 | − | 68.2 ± 1.3 | 147.40 ± 0.70 | − | 0.1410 ± 0.0066 | 3.098 ± 0.081 | 24.120 ± 0.031 | −0.070 ± 0.023 | − | − | 695.65/745 | 0.902 |
| CS (4 knots) | (1.10) | (1.25) | (1.57) | (1.80) | 2.32 ± 0.15 | 3.761 ± 0.098 | − | 62.15 ± 0.56 | 147.40 ± 0.70 | − | 0.1382 ± 0.0066 | 3.073 ± 0.080 | 24.230 ± 0.017 | −0.077 ± 0.023 | − | − | 738.73/749 | 0.598 | |
| ΛCDM | − | − | − | − | − | − | − | 68.57 ± 0.99 | 147.40 ± 0.70 | 0.295 ± 0.019 | 0.1414 ± 0.0066 | 3.105 ± 0.081 | 24.110 ± 0.020 | −0.070 ± 0.023 | 0.028 ± 0.052 | 2.0 ± 1.7 | 697.78/748 | 0.905 | |
| SNIa+ev+BAO prior rd | Splines | 1.048 ± 0.021 | 1.151 ± 0.023 | 1.413 ± 0.039 | 1.70 ± 0.10 | 2.19 ± 0.15 | 3.46 ± 0.11 | − | 67.4 ± 1.3 | 147.40 ± 0.70 | − | 0.1413 ± 0.0066 | 3.101 ± 0.081 | 24.110 ± 0.031 | −0.070 ± 0.023 | 0.103 ± 0.066 | 2.0 ± 1.5 | 693.25/743 | 0.904 |
| CS (4 knots) | (1.10) | (1.25) | (1.57) | (1.80) | 2.37 ± 0.15 | 3.752 ± 0.097 | − | 62.12 ± 0.56 | 147.40 ± 0.70 | − | 0.1416 ± 0.0066 | 3.104 ± 0.081 | 24.050 ± 0.094 | −0.070 ± 0.023 | 0.322 ± 0.078 | 0.41 ± 0.24 | 697.80/747 | 0.901 | |
Notes. The values in parentheses show the fixed knots. The values of ΛCDM are added as a reference. The reduced χ2 and the probability P(χ2, ν) are also provided for the different models. H0 is expressed in km s−1 Mpc−1, rd in Mpc, and their product H0rd in km s−1.
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