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Table 4.

Best-fit values with the corresponding 1σ error bars for the cosmological and nuisance parameters of the third case: SNIa, BAO, and CMB data.

Case Model h1 h2 h3 h4 h5 h6 H0 rd Ωm 102ωb α β M ΔM zCMB zdrag ϵ δ χ2/d.o.f P(χ2, ν)
ΛCDM 69.15 ± 0.93 146.3 ± 1.4 0.293 ± 0.011 2.265 ± 0.025 0.1412 ± 0.0066 3.102 ± 0.080 24.110 ± 0.018 −0.070 ± 0.023 1090.00 ± 0.23 698.10/751 0.916
SNIa+BAO free rd+CMB Splines 1.050 ± 0.021 1.133 ± 0.020 1.387 ± 0.035 1.601 ± 0.082 2.13 ± 0.16 3.44 ± 0.10 68.5 ± 1.7 146.8 ± 2.7 0.299 ± 0.016 2.263 ± 0.029 0.1410 ± 0.0066 3.098 ± 0.079 24.120 ± 0.031 −0.070 ± 0.023 1090.00 ± 0.22 696.21/745 0.899
CS (4 knots) (1.10) (1.25) (1.57) (1.80) 2.28 ± 0.15 3.788 ± 0.095 62.6 ± 1.1 146.3 ± 2.4 0.358 ± 0.014 2.264 ± 0.029 0.1382 ± 0.0066 3.073 ± 0.080 24.230 ± 0.017 −0.077 ± 0.023 1090.00 ± 0.23 739.13/749 0.594

ΛCDM 69.13 ± 0.97 146.4 ± 1.5 0.294 ± 0.012 2.264 ± 0.025 0.1413 ± 0.0066 3.103 ± 0.081 24.110 ± 0.056 −0.070 ± 0.023 1090.00 ± 0.23 0.005 ± 0.074 0.20 ± 0.91 698.09/749 0.908
SNIa+ev+BAO free rd+CMB Splines 1.048 ± 0.021 1.151 ± 0.023 1.414 ± 0.039 1.70 ± 0.10 2.17 ± 0.16 3.48 ± 0.10 67.2 ± 1.7 147.7 ± 2.6 0.311 ± 0.017 2.263 ± 0.029 0.1413 ± 0.0066 3.101 ± 0.081 24.110 ± 0.031 −0.070 ± 0.023 1090.00 ± 0.23 0.103 ± 0.065 2.0 ± 1.5 693.81/743 0.901
CS (4 knots) (1.10) (1.25) (1.57) (1.80) 2.35 ± 0.17 3.777 ± 0.093 62.2 ± 1.1 147.1 ± 2.5 0.362 ± 0.015 2.263 ± 0.029 0.1416 ± 0.0066 3.104 ± 0.081 24.050 ± 0.090 −0.070 ± 0.023 1090.00 ± 0.23 0.322 ± 0.075 0.41 ± 0.24 698.30/747 0.898

ΛCDM 68.77 ± 0.73 147.20 ± 0.63 0.2977 ± 0.0090 2.256 ± 0.022 0.1412 ± 0.0066 3.101 ± 0.080 24.110 ± 0.018 −0.070 ± 0.023 1090.00 ± 0.23 698.52/752 0.919
SNIa+BAO prior rd+CMB Splines 1.050 ± 0.021 1.133 ± 0.020 1.387 ± 0.034 1.603 ± 0.079 2.153 ± 0.098 3.44 ± 0.10 68.3 ± 1.2 147.40 ± 0.68 0.302 ± 0.012 2.262 ± 0.028 0.1410 ± 0.0066 3.098 ± 0.081 24.120 ± 0.030 −0.070 ± 0.023 1090.00 ± 0.23 696.25/746 0.903
CS (4 knots) (1.10) (1.25) (1.57) (1.80) 2.344 ± 0.089 3.786 ± 0.095 62.20 ± 0.54 147.30 ± 0.67 0.3632 ± 0.0086 2.261 ± 0.028 0.1382 ± 0.0066 3.073 ± 0.080 24.230 ± 0.017 −0.077 ± 0.023 1090.00 ± 0.23 739.31/750 0.603

ΛCDM 68.74 ± 0.69 147.20 ± 0.59 0.2981 ± 0.0086 2.256 ± 0.021 0.1413 ± 0.0066 3.102 ± 0.081 24.110 ± 0.029 −0.070 ± 0.023 1090.00 ± 0.23 0.006 ± 0.049 0.5 ± 1.0 698.51/750 0.911
SNIa+ev+BAO prior rd+CMB Splines 1.048 ± 0.029 1.151 ± 0.024 1.413 ± 0.041 1.693 ± 0.098 2.16 ± 0.10 3.48 ± 0.11 67.4 ± 1.4 147.40 ± 0.68 0.309 ± 0.014 2.264 ± 0.028 0.1413 ± 0.0066 3.100 ± 0.081 24.110 ± 0.038 −0.070 ± 0.023 1090.00 ± 0.23 0.101 ± 0.064 2.0 ± 1.5 693.83/744 0.906
CS (4 knots) (1.10) (1.25) (1.57) (1.80) 2.362 ± 0.091 3.777 ± 0.093 62.13 ± 0.55 147.40 ± 0.68 0.3638 ± 0.0086 2.263 ± 0.028 0.1416 ± 0.0066 3.104 ± 0.081 24.05 ± 0.10 −0.070 ± 0.023 1090.00 ± 0.23 0.321 ± 0.083 0.41 ± 0.25 698.31/748 0.903

ΛCDM 68.62 ± 0.60 0.2997 ± 0.0072 2.255 ± 0.022 0.1411 ± 0.0066 3.100 ± 0.080 24.110 ± 0.018 −0.070 ± 0.023 1090.00 ± 0.23 1060.00 ± 0.29 698.62/752 0.918
SNIa+BAO compute rd+CMB Splines 1.050 ± 0.020 1.133 ± 0.020 1.386 ± 0.034 1.604 ± 0.079 2.158 ± 0.098 3.44 ± 0.10 68.2 ± 1.2 0.302 ± 0.011 2.262 ± 0.028 0.1410 ± 0.0066 3.098 ± 0.081 24.120 ± 0.030 −0.070 ± 0.023 1090.00 ± 0.23 1060.00 ± 0.29 696.27/746 0.903
CS (4 knots) (1.10) (1.25) (1.57) (1.80) 2.350 ± 0.089 3.786 ± 0.095 62.15 ± 0.50 0.3642 ± 0.0066 2.260 ± 0.028 0.1382 ± 0.0066 3.073 ± 0.080 24.230 ± 0.017 −0.077 ± 0.023 1090.00 ± 0.23 1060.00 ± 0.29 739.35/750 0.602

ΛCDM 68.60 ± 0.61 0.3000 ± 0.0074 2.255 ± 0.022 0.1413 ± 0.0066 3.102 ± 0.081 24.100 ± 0.056 −0.070 ± 0.023 1090.00 ± 0.23 1060.00 ± 0.29 0.017 ± 0.073 0.2 ± 1.8 698.56/750 0.910
SNIa+ev+BAO compute rd+CMB Splines 1.048 ± 0.027 1.151 ± 0.024 1.413 ± 0.041 1.694 ± 0.097 2.163 ± 0.099 3.48 ± 0.11 67.3 ± 1.4 0.310 ± 0.013 2.264 ± 0.028 0.1413 ± 0.0066 3.100 ± 0.081 24.110 ± 0.036 −0.070 ± 0.023 1090.00 ± 0.23 1060.00 ± 0.29 0.102 ± 0.064 2.0 ± 1.5 693.82/744 0.906
CS (4 knots) (1.10) (1.25) (1.57) (1.80) 2.369 ± 0.091 3.776 ± 0.094 62.08 ± 0.51 0.3645 ± 0.0066 2.262 ± 0.028 0.1416 ± 0.0066 3.104 ± 0.081 24.050 ± 0.092 −0.070 ± 0.023 1090.00 ± 0.23 1060.00 ± 0.29 0.322 ± 0.076 0.41 ± 0.24 698.32/748 0.903

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, and rd in Mpc.

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