The mean parameter values from an CFHTLenS 3D cosmic shear analysis (this paper) and we quote numbers from 1-bin 2D correlation function analysis (†Kilbinger et al. 2013, tables 2 and 3) and 6-bin tomographic correlation function analysis (‡Heymans et al 2013, tables 2 and 3). The upper rows show the lensing-only constraints on the empirical relation σ8(ΩM/0.27)α =constant, that parametrizes the amplitude and width of the (σ8, ΩM) contour; see Heymans et al. (2013) table 2 for further values of these under various assumptions in a ΛCDM cosmology. The lower rows compare the constraints in a flat wCDM cosmology, with lensing combined with WMAP7. For the 3D cosmic shear only constraints we quote asymmetric error bars. Note that Heymans et al. (2013) also marginalized over an IA parameter A, but included 1.5 times as many galaxies. The errors are symmetric 1-parameter 1σ values. *Have no allowance for baryonic feedback effects that are likely to impact constraints using k ≳ 1.5 h Mpc−1.
Parameter . | flat LCDM Lensing only . | Analysis and Method . | . |
---|---|---|---|
α | |$0.44^{+0.24}_{-0.36}$| | 3D cosmic shear power spectra | k ≤ 1.5 h Mpc−1, no early-type galaxies |
|$0.46^{+0.37}_{-0.36}$| | 3D cosmic shear power spectra* | k ≤ 5.0 h Mpc−1, no early-type galaxies | |
0.59 ± 0.02 | 1-bin correlation function† | k ≲ 30 h Mpc−1, all galaxies | |
0.46 ± 0.02 | 6-bin correlation function† | A marginalized, k ≲ 30 h Mpc−1, all galaxies | |
σ8(ΩM/0.27)α | |$1.16^{+0.27}_{-0.27}$| | 3D cosmic shear power spectra | k ≤ 1.5 h Mpc−1, no early-type galaxies |
|$0.69^{+0.22}_{-0.22}$| | 3D cosmic shear power spectra* | k ≤ 5.0 h Mpc−1, no early-type galaxies | |
0.79 ± 0.04 | 1-bin correlation function† | k ≲ 30 h Mpc−1, all galaxies | |
|$0.77^{+0.03}_{-0.04}$| | 6-bin correlation function‡ | A marginalized, k ≲ 30 h Mpc−1, all galaxies | |
flat wLCDM Lensing only | |||
α | |$0.46^{+0.23}_{-0.26}$| | 3D cosmic shear power spectra | k ≤ 1.5 h Mpc−1, no early-type galaxies |
|$0.39^{+0.50}_{-0.29}$| | 3D cosmic shear power spectra* | k ≤ 5.0 h Mpc−1, no early-type galaxies | |
0.59 ± 0.03 | 1-bin correlation function† | k ≲ 30 h Mpc−1, all galaxies | |
σ8(ΩM/0.27)α | |$1.14^{+0.26}_{-0.30}$| | 3D cosmic shear power spectra | k ≤ 1.5 h Mpc−1, no early-type galaxies |
|$0.72^{+0.30}_{-0.30}$| | 3D cosmic shear power spectra* | k ≤ 5.0 h Mpc−1, no early-type galaxies | |
0.79 ± 0.07 | 1-bin correlation function† | k ≲ 30 h Mpc−1, all galaxies | |
w | |$-1.40^{+1.30}_{-0.82}$| | 3D cosmic shear power spectra | k ≤ 1.5 h Mpc−1, no early-type galaxies |
|$-1.41^{+1.25}_{-0.80}$| | 3D cosmic shear power spectra* | k ≤ 5.0 h Mpc−1, no early-type galaxies | |
|$-1.17^{+0.80}_{-1.40}$| | 1-bin correlation function† | k ≲ 30 h Mpc−1, all galaxies | |
flat wCDM Lensing+WMAP7 | |||
ΩM | 0.252 ± 0.079 | 3D cosmic shear power spectra | k ≤ 1.5 h Mpc−1, no early-type galaxies |
0.210 ± 0.069 | 3D cosmic shear power spectra* | k ≤ 5.0 h Mpc−1, no early-type galaxies | |
0.325 ± 0.082 | 1-bin correlation function† | k ≲ 30 h Mpc−1, all galaxies | |
0.256 ± 0.110 | 6-bin correlation function‡ | A marginalized, k ≲ 30 h Mpc−1, all galaxies | |
σ8 | 0.88 ± 0.23 | 3D cosmic shear power spectra | k ≤ 1.5 h Mpc−1, no early-type galaxies |
0.88 ± 0.22 | 3D cosmic shear power spectra* | k ≤ 5.0 h Mpc−1, no early-type galaxies | |
0.77 ± 0.11 | 1-bin correlation function† | k ≲ 30 h Mpc−1, all galaxies | |
0.81 ± 0.10 | 6-bin correlation function‡ | A marginalized, k ≲ 30 h Mpc−1, all galaxies | |
w | −1.16 ± 0.38 | 3D cosmic shear power spectra | k ≤ 1.5 h Mpc−1, no early-type galaxies |
−1.23 ± 0.34 | 3D cosmic shear power spectra* | k ≤ 5.0 h Mpc−1, no early-type galaxies | |
−0.86 ± 0.22 | 1-bin correlation function† | k ≲ 30 h Mpc−1, all galaxies | |
−1.05 ± 0.34 | 6-bin correlation function‡ | A marginalized, k ≲ 30 h Mpc−1, all galaxies | |
h | 0.78 ± 0.12 | 3D cosmic shear power spectra | k ≤ 1.5 h Mpc−1, no early-type galaxies |
0.83 ± 0.12 | 3D cosmic shear power spectra* | k ≤ 5.0 h Mpc−1, no early-type galaxies | |
0.66 ± 0.11 | 1-bin correlation function† | k ≲ 30 h Mpc−1, all galaxies | |
0.74 ± 0.14 | 6-bin correlation function‡ | A marginalized, k ≲ 30 h Mpc−1, all galaxies |
Parameter . | flat LCDM Lensing only . | Analysis and Method . | . |
---|---|---|---|
α | |$0.44^{+0.24}_{-0.36}$| | 3D cosmic shear power spectra | k ≤ 1.5 h Mpc−1, no early-type galaxies |
|$0.46^{+0.37}_{-0.36}$| | 3D cosmic shear power spectra* | k ≤ 5.0 h Mpc−1, no early-type galaxies | |
0.59 ± 0.02 | 1-bin correlation function† | k ≲ 30 h Mpc−1, all galaxies | |
0.46 ± 0.02 | 6-bin correlation function† | A marginalized, k ≲ 30 h Mpc−1, all galaxies | |
σ8(ΩM/0.27)α | |$1.16^{+0.27}_{-0.27}$| | 3D cosmic shear power spectra | k ≤ 1.5 h Mpc−1, no early-type galaxies |
|$0.69^{+0.22}_{-0.22}$| | 3D cosmic shear power spectra* | k ≤ 5.0 h Mpc−1, no early-type galaxies | |
0.79 ± 0.04 | 1-bin correlation function† | k ≲ 30 h Mpc−1, all galaxies | |
|$0.77^{+0.03}_{-0.04}$| | 6-bin correlation function‡ | A marginalized, k ≲ 30 h Mpc−1, all galaxies | |
flat wLCDM Lensing only | |||
α | |$0.46^{+0.23}_{-0.26}$| | 3D cosmic shear power spectra | k ≤ 1.5 h Mpc−1, no early-type galaxies |
|$0.39^{+0.50}_{-0.29}$| | 3D cosmic shear power spectra* | k ≤ 5.0 h Mpc−1, no early-type galaxies | |
0.59 ± 0.03 | 1-bin correlation function† | k ≲ 30 h Mpc−1, all galaxies | |
σ8(ΩM/0.27)α | |$1.14^{+0.26}_{-0.30}$| | 3D cosmic shear power spectra | k ≤ 1.5 h Mpc−1, no early-type galaxies |
|$0.72^{+0.30}_{-0.30}$| | 3D cosmic shear power spectra* | k ≤ 5.0 h Mpc−1, no early-type galaxies | |
0.79 ± 0.07 | 1-bin correlation function† | k ≲ 30 h Mpc−1, all galaxies | |
w | |$-1.40^{+1.30}_{-0.82}$| | 3D cosmic shear power spectra | k ≤ 1.5 h Mpc−1, no early-type galaxies |
|$-1.41^{+1.25}_{-0.80}$| | 3D cosmic shear power spectra* | k ≤ 5.0 h Mpc−1, no early-type galaxies | |
|$-1.17^{+0.80}_{-1.40}$| | 1-bin correlation function† | k ≲ 30 h Mpc−1, all galaxies | |
flat wCDM Lensing+WMAP7 | |||
ΩM | 0.252 ± 0.079 | 3D cosmic shear power spectra | k ≤ 1.5 h Mpc−1, no early-type galaxies |
0.210 ± 0.069 | 3D cosmic shear power spectra* | k ≤ 5.0 h Mpc−1, no early-type galaxies | |
0.325 ± 0.082 | 1-bin correlation function† | k ≲ 30 h Mpc−1, all galaxies | |
0.256 ± 0.110 | 6-bin correlation function‡ | A marginalized, k ≲ 30 h Mpc−1, all galaxies | |
σ8 | 0.88 ± 0.23 | 3D cosmic shear power spectra | k ≤ 1.5 h Mpc−1, no early-type galaxies |
0.88 ± 0.22 | 3D cosmic shear power spectra* | k ≤ 5.0 h Mpc−1, no early-type galaxies | |
0.77 ± 0.11 | 1-bin correlation function† | k ≲ 30 h Mpc−1, all galaxies | |
0.81 ± 0.10 | 6-bin correlation function‡ | A marginalized, k ≲ 30 h Mpc−1, all galaxies | |
w | −1.16 ± 0.38 | 3D cosmic shear power spectra | k ≤ 1.5 h Mpc−1, no early-type galaxies |
−1.23 ± 0.34 | 3D cosmic shear power spectra* | k ≤ 5.0 h Mpc−1, no early-type galaxies | |
−0.86 ± 0.22 | 1-bin correlation function† | k ≲ 30 h Mpc−1, all galaxies | |
−1.05 ± 0.34 | 6-bin correlation function‡ | A marginalized, k ≲ 30 h Mpc−1, all galaxies | |
h | 0.78 ± 0.12 | 3D cosmic shear power spectra | k ≤ 1.5 h Mpc−1, no early-type galaxies |
0.83 ± 0.12 | 3D cosmic shear power spectra* | k ≤ 5.0 h Mpc−1, no early-type galaxies | |
0.66 ± 0.11 | 1-bin correlation function† | k ≲ 30 h Mpc−1, all galaxies | |
0.74 ± 0.14 | 6-bin correlation function‡ | A marginalized, k ≲ 30 h Mpc−1, all galaxies |
The mean parameter values from an CFHTLenS 3D cosmic shear analysis (this paper) and we quote numbers from 1-bin 2D correlation function analysis (†Kilbinger et al. 2013, tables 2 and 3) and 6-bin tomographic correlation function analysis (‡Heymans et al 2013, tables 2 and 3). The upper rows show the lensing-only constraints on the empirical relation σ8(ΩM/0.27)α =constant, that parametrizes the amplitude and width of the (σ8, ΩM) contour; see Heymans et al. (2013) table 2 for further values of these under various assumptions in a ΛCDM cosmology. The lower rows compare the constraints in a flat wCDM cosmology, with lensing combined with WMAP7. For the 3D cosmic shear only constraints we quote asymmetric error bars. Note that Heymans et al. (2013) also marginalized over an IA parameter A, but included 1.5 times as many galaxies. The errors are symmetric 1-parameter 1σ values. *Have no allowance for baryonic feedback effects that are likely to impact constraints using k ≳ 1.5 h Mpc−1.
Parameter . | flat LCDM Lensing only . | Analysis and Method . | . |
---|---|---|---|
α | |$0.44^{+0.24}_{-0.36}$| | 3D cosmic shear power spectra | k ≤ 1.5 h Mpc−1, no early-type galaxies |
|$0.46^{+0.37}_{-0.36}$| | 3D cosmic shear power spectra* | k ≤ 5.0 h Mpc−1, no early-type galaxies | |
0.59 ± 0.02 | 1-bin correlation function† | k ≲ 30 h Mpc−1, all galaxies | |
0.46 ± 0.02 | 6-bin correlation function† | A marginalized, k ≲ 30 h Mpc−1, all galaxies | |
σ8(ΩM/0.27)α | |$1.16^{+0.27}_{-0.27}$| | 3D cosmic shear power spectra | k ≤ 1.5 h Mpc−1, no early-type galaxies |
|$0.69^{+0.22}_{-0.22}$| | 3D cosmic shear power spectra* | k ≤ 5.0 h Mpc−1, no early-type galaxies | |
0.79 ± 0.04 | 1-bin correlation function† | k ≲ 30 h Mpc−1, all galaxies | |
|$0.77^{+0.03}_{-0.04}$| | 6-bin correlation function‡ | A marginalized, k ≲ 30 h Mpc−1, all galaxies | |
flat wLCDM Lensing only | |||
α | |$0.46^{+0.23}_{-0.26}$| | 3D cosmic shear power spectra | k ≤ 1.5 h Mpc−1, no early-type galaxies |
|$0.39^{+0.50}_{-0.29}$| | 3D cosmic shear power spectra* | k ≤ 5.0 h Mpc−1, no early-type galaxies | |
0.59 ± 0.03 | 1-bin correlation function† | k ≲ 30 h Mpc−1, all galaxies | |
σ8(ΩM/0.27)α | |$1.14^{+0.26}_{-0.30}$| | 3D cosmic shear power spectra | k ≤ 1.5 h Mpc−1, no early-type galaxies |
|$0.72^{+0.30}_{-0.30}$| | 3D cosmic shear power spectra* | k ≤ 5.0 h Mpc−1, no early-type galaxies | |
0.79 ± 0.07 | 1-bin correlation function† | k ≲ 30 h Mpc−1, all galaxies | |
w | |$-1.40^{+1.30}_{-0.82}$| | 3D cosmic shear power spectra | k ≤ 1.5 h Mpc−1, no early-type galaxies |
|$-1.41^{+1.25}_{-0.80}$| | 3D cosmic shear power spectra* | k ≤ 5.0 h Mpc−1, no early-type galaxies | |
|$-1.17^{+0.80}_{-1.40}$| | 1-bin correlation function† | k ≲ 30 h Mpc−1, all galaxies | |
flat wCDM Lensing+WMAP7 | |||
ΩM | 0.252 ± 0.079 | 3D cosmic shear power spectra | k ≤ 1.5 h Mpc−1, no early-type galaxies |
0.210 ± 0.069 | 3D cosmic shear power spectra* | k ≤ 5.0 h Mpc−1, no early-type galaxies | |
0.325 ± 0.082 | 1-bin correlation function† | k ≲ 30 h Mpc−1, all galaxies | |
0.256 ± 0.110 | 6-bin correlation function‡ | A marginalized, k ≲ 30 h Mpc−1, all galaxies | |
σ8 | 0.88 ± 0.23 | 3D cosmic shear power spectra | k ≤ 1.5 h Mpc−1, no early-type galaxies |
0.88 ± 0.22 | 3D cosmic shear power spectra* | k ≤ 5.0 h Mpc−1, no early-type galaxies | |
0.77 ± 0.11 | 1-bin correlation function† | k ≲ 30 h Mpc−1, all galaxies | |
0.81 ± 0.10 | 6-bin correlation function‡ | A marginalized, k ≲ 30 h Mpc−1, all galaxies | |
w | −1.16 ± 0.38 | 3D cosmic shear power spectra | k ≤ 1.5 h Mpc−1, no early-type galaxies |
−1.23 ± 0.34 | 3D cosmic shear power spectra* | k ≤ 5.0 h Mpc−1, no early-type galaxies | |
−0.86 ± 0.22 | 1-bin correlation function† | k ≲ 30 h Mpc−1, all galaxies | |
−1.05 ± 0.34 | 6-bin correlation function‡ | A marginalized, k ≲ 30 h Mpc−1, all galaxies | |
h | 0.78 ± 0.12 | 3D cosmic shear power spectra | k ≤ 1.5 h Mpc−1, no early-type galaxies |
0.83 ± 0.12 | 3D cosmic shear power spectra* | k ≤ 5.0 h Mpc−1, no early-type galaxies | |
0.66 ± 0.11 | 1-bin correlation function† | k ≲ 30 h Mpc−1, all galaxies | |
0.74 ± 0.14 | 6-bin correlation function‡ | A marginalized, k ≲ 30 h Mpc−1, all galaxies |
Parameter . | flat LCDM Lensing only . | Analysis and Method . | . |
---|---|---|---|
α | |$0.44^{+0.24}_{-0.36}$| | 3D cosmic shear power spectra | k ≤ 1.5 h Mpc−1, no early-type galaxies |
|$0.46^{+0.37}_{-0.36}$| | 3D cosmic shear power spectra* | k ≤ 5.0 h Mpc−1, no early-type galaxies | |
0.59 ± 0.02 | 1-bin correlation function† | k ≲ 30 h Mpc−1, all galaxies | |
0.46 ± 0.02 | 6-bin correlation function† | A marginalized, k ≲ 30 h Mpc−1, all galaxies | |
σ8(ΩM/0.27)α | |$1.16^{+0.27}_{-0.27}$| | 3D cosmic shear power spectra | k ≤ 1.5 h Mpc−1, no early-type galaxies |
|$0.69^{+0.22}_{-0.22}$| | 3D cosmic shear power spectra* | k ≤ 5.0 h Mpc−1, no early-type galaxies | |
0.79 ± 0.04 | 1-bin correlation function† | k ≲ 30 h Mpc−1, all galaxies | |
|$0.77^{+0.03}_{-0.04}$| | 6-bin correlation function‡ | A marginalized, k ≲ 30 h Mpc−1, all galaxies | |
flat wLCDM Lensing only | |||
α | |$0.46^{+0.23}_{-0.26}$| | 3D cosmic shear power spectra | k ≤ 1.5 h Mpc−1, no early-type galaxies |
|$0.39^{+0.50}_{-0.29}$| | 3D cosmic shear power spectra* | k ≤ 5.0 h Mpc−1, no early-type galaxies | |
0.59 ± 0.03 | 1-bin correlation function† | k ≲ 30 h Mpc−1, all galaxies | |
σ8(ΩM/0.27)α | |$1.14^{+0.26}_{-0.30}$| | 3D cosmic shear power spectra | k ≤ 1.5 h Mpc−1, no early-type galaxies |
|$0.72^{+0.30}_{-0.30}$| | 3D cosmic shear power spectra* | k ≤ 5.0 h Mpc−1, no early-type galaxies | |
0.79 ± 0.07 | 1-bin correlation function† | k ≲ 30 h Mpc−1, all galaxies | |
w | |$-1.40^{+1.30}_{-0.82}$| | 3D cosmic shear power spectra | k ≤ 1.5 h Mpc−1, no early-type galaxies |
|$-1.41^{+1.25}_{-0.80}$| | 3D cosmic shear power spectra* | k ≤ 5.0 h Mpc−1, no early-type galaxies | |
|$-1.17^{+0.80}_{-1.40}$| | 1-bin correlation function† | k ≲ 30 h Mpc−1, all galaxies | |
flat wCDM Lensing+WMAP7 | |||
ΩM | 0.252 ± 0.079 | 3D cosmic shear power spectra | k ≤ 1.5 h Mpc−1, no early-type galaxies |
0.210 ± 0.069 | 3D cosmic shear power spectra* | k ≤ 5.0 h Mpc−1, no early-type galaxies | |
0.325 ± 0.082 | 1-bin correlation function† | k ≲ 30 h Mpc−1, all galaxies | |
0.256 ± 0.110 | 6-bin correlation function‡ | A marginalized, k ≲ 30 h Mpc−1, all galaxies | |
σ8 | 0.88 ± 0.23 | 3D cosmic shear power spectra | k ≤ 1.5 h Mpc−1, no early-type galaxies |
0.88 ± 0.22 | 3D cosmic shear power spectra* | k ≤ 5.0 h Mpc−1, no early-type galaxies | |
0.77 ± 0.11 | 1-bin correlation function† | k ≲ 30 h Mpc−1, all galaxies | |
0.81 ± 0.10 | 6-bin correlation function‡ | A marginalized, k ≲ 30 h Mpc−1, all galaxies | |
w | −1.16 ± 0.38 | 3D cosmic shear power spectra | k ≤ 1.5 h Mpc−1, no early-type galaxies |
−1.23 ± 0.34 | 3D cosmic shear power spectra* | k ≤ 5.0 h Mpc−1, no early-type galaxies | |
−0.86 ± 0.22 | 1-bin correlation function† | k ≲ 30 h Mpc−1, all galaxies | |
−1.05 ± 0.34 | 6-bin correlation function‡ | A marginalized, k ≲ 30 h Mpc−1, all galaxies | |
h | 0.78 ± 0.12 | 3D cosmic shear power spectra | k ≤ 1.5 h Mpc−1, no early-type galaxies |
0.83 ± 0.12 | 3D cosmic shear power spectra* | k ≤ 5.0 h Mpc−1, no early-type galaxies | |
0.66 ± 0.11 | 1-bin correlation function† | k ≲ 30 h Mpc−1, all galaxies | |
0.74 ± 0.14 | 6-bin correlation function‡ | A marginalized, k ≲ 30 h Mpc−1, all galaxies |
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