Table 1.

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 σ8M/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.

Parameterflat LCDM Lensing onlyAnalysis and Method
α|$0.44^{+0.24}_{-0.36}$|3D cosmic shear power spectrak ≤ 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 ± 0.021-bin correlation functionk ≲ 30 h Mpc−1, all galaxies
0.46 ± 0.026-bin correlation functionA marginalized, k ≲ 30 h Mpc−1, all galaxies
σ8M/0.27)α|$1.16^{+0.27}_{-0.27}$|3D cosmic shear power spectrak ≤ 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 ± 0.041-bin correlation functionk ≲ 30 h Mpc−1, all galaxies
|$0.77^{+0.03}_{-0.04}$|6-bin correlation functionA marginalized, k ≲ 30 h Mpc−1, all galaxies
flat wLCDM Lensing only
α|$0.46^{+0.23}_{-0.26}$|3D cosmic shear power spectrak ≤ 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 ± 0.031-bin correlation functionk ≲ 30 h Mpc−1, all galaxies
σ8M/0.27)α|$1.14^{+0.26}_{-0.30}$|3D cosmic shear power spectrak ≤ 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 ± 0.071-bin correlation functionk ≲ 30 h Mpc−1, all galaxies
w|$-1.40^{+1.30}_{-0.82}$|3D cosmic shear power spectrak ≤ 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 functionk ≲ 30 h Mpc−1, all galaxies
flat wCDM Lensing+WMAP7
ΩM0.252 ± 0.0793D cosmic shear power spectrak ≤ 1.5 h Mpc−1, no early-type galaxies
0.210 ± 0.0693D cosmic shear power spectra*k ≤ 5.0 h Mpc−1, no early-type galaxies
0.325 ± 0.0821-bin correlation functionk ≲ 30 h Mpc−1, all galaxies
0.256 ± 0.1106-bin correlation functionA marginalized, k ≲ 30 h Mpc−1, all galaxies
σ80.88 ± 0.233D cosmic shear power spectrak ≤ 1.5 h Mpc−1, no early-type galaxies
0.88 ± 0.223D cosmic shear power spectra*k ≤ 5.0 h Mpc−1, no early-type galaxies
0.77 ± 0.111-bin correlation functionk ≲ 30 h Mpc−1, all galaxies
0.81 ± 0.106-bin correlation functionA marginalized, k ≲ 30 h Mpc−1, all galaxies
w−1.16 ± 0.383D cosmic shear power spectrak ≤ 1.5 h Mpc−1, no early-type galaxies
−1.23 ± 0.343D cosmic shear power spectra*k ≤ 5.0 h Mpc−1, no early-type galaxies
−0.86 ± 0.221-bin correlation functionk ≲ 30 h Mpc−1, all galaxies
−1.05 ± 0.346-bin correlation functionA marginalized, k ≲ 30 h Mpc−1, all galaxies
h0.78 ± 0.123D cosmic shear power spectrak ≤ 1.5 h Mpc−1, no early-type galaxies
0.83 ± 0.123D cosmic shear power spectra*k ≤ 5.0 h Mpc−1, no early-type galaxies
0.66 ± 0.111-bin correlation functionk ≲ 30 h Mpc−1, all galaxies
0.74 ± 0.146-bin correlation functionA marginalized, k ≲ 30 h Mpc−1, all galaxies
Parameterflat LCDM Lensing onlyAnalysis and Method
α|$0.44^{+0.24}_{-0.36}$|3D cosmic shear power spectrak ≤ 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 ± 0.021-bin correlation functionk ≲ 30 h Mpc−1, all galaxies
0.46 ± 0.026-bin correlation functionA marginalized, k ≲ 30 h Mpc−1, all galaxies
σ8M/0.27)α|$1.16^{+0.27}_{-0.27}$|3D cosmic shear power spectrak ≤ 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 ± 0.041-bin correlation functionk ≲ 30 h Mpc−1, all galaxies
|$0.77^{+0.03}_{-0.04}$|6-bin correlation functionA marginalized, k ≲ 30 h Mpc−1, all galaxies
flat wLCDM Lensing only
α|$0.46^{+0.23}_{-0.26}$|3D cosmic shear power spectrak ≤ 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 ± 0.031-bin correlation functionk ≲ 30 h Mpc−1, all galaxies
σ8M/0.27)α|$1.14^{+0.26}_{-0.30}$|3D cosmic shear power spectrak ≤ 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 ± 0.071-bin correlation functionk ≲ 30 h Mpc−1, all galaxies
w|$-1.40^{+1.30}_{-0.82}$|3D cosmic shear power spectrak ≤ 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 functionk ≲ 30 h Mpc−1, all galaxies
flat wCDM Lensing+WMAP7
ΩM0.252 ± 0.0793D cosmic shear power spectrak ≤ 1.5 h Mpc−1, no early-type galaxies
0.210 ± 0.0693D cosmic shear power spectra*k ≤ 5.0 h Mpc−1, no early-type galaxies
0.325 ± 0.0821-bin correlation functionk ≲ 30 h Mpc−1, all galaxies
0.256 ± 0.1106-bin correlation functionA marginalized, k ≲ 30 h Mpc−1, all galaxies
σ80.88 ± 0.233D cosmic shear power spectrak ≤ 1.5 h Mpc−1, no early-type galaxies
0.88 ± 0.223D cosmic shear power spectra*k ≤ 5.0 h Mpc−1, no early-type galaxies
0.77 ± 0.111-bin correlation functionk ≲ 30 h Mpc−1, all galaxies
0.81 ± 0.106-bin correlation functionA marginalized, k ≲ 30 h Mpc−1, all galaxies
w−1.16 ± 0.383D cosmic shear power spectrak ≤ 1.5 h Mpc−1, no early-type galaxies
−1.23 ± 0.343D cosmic shear power spectra*k ≤ 5.0 h Mpc−1, no early-type galaxies
−0.86 ± 0.221-bin correlation functionk ≲ 30 h Mpc−1, all galaxies
−1.05 ± 0.346-bin correlation functionA marginalized, k ≲ 30 h Mpc−1, all galaxies
h0.78 ± 0.123D cosmic shear power spectrak ≤ 1.5 h Mpc−1, no early-type galaxies
0.83 ± 0.123D cosmic shear power spectra*k ≤ 5.0 h Mpc−1, no early-type galaxies
0.66 ± 0.111-bin correlation functionk ≲ 30 h Mpc−1, all galaxies
0.74 ± 0.146-bin correlation functionA marginalized, k ≲ 30 h Mpc−1, all galaxies
Table 1.

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 σ8M/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.

Parameterflat LCDM Lensing onlyAnalysis and Method
α|$0.44^{+0.24}_{-0.36}$|3D cosmic shear power spectrak ≤ 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 ± 0.021-bin correlation functionk ≲ 30 h Mpc−1, all galaxies
0.46 ± 0.026-bin correlation functionA marginalized, k ≲ 30 h Mpc−1, all galaxies
σ8M/0.27)α|$1.16^{+0.27}_{-0.27}$|3D cosmic shear power spectrak ≤ 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 ± 0.041-bin correlation functionk ≲ 30 h Mpc−1, all galaxies
|$0.77^{+0.03}_{-0.04}$|6-bin correlation functionA marginalized, k ≲ 30 h Mpc−1, all galaxies
flat wLCDM Lensing only
α|$0.46^{+0.23}_{-0.26}$|3D cosmic shear power spectrak ≤ 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 ± 0.031-bin correlation functionk ≲ 30 h Mpc−1, all galaxies
σ8M/0.27)α|$1.14^{+0.26}_{-0.30}$|3D cosmic shear power spectrak ≤ 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 ± 0.071-bin correlation functionk ≲ 30 h Mpc−1, all galaxies
w|$-1.40^{+1.30}_{-0.82}$|3D cosmic shear power spectrak ≤ 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 functionk ≲ 30 h Mpc−1, all galaxies
flat wCDM Lensing+WMAP7
ΩM0.252 ± 0.0793D cosmic shear power spectrak ≤ 1.5 h Mpc−1, no early-type galaxies
0.210 ± 0.0693D cosmic shear power spectra*k ≤ 5.0 h Mpc−1, no early-type galaxies
0.325 ± 0.0821-bin correlation functionk ≲ 30 h Mpc−1, all galaxies
0.256 ± 0.1106-bin correlation functionA marginalized, k ≲ 30 h Mpc−1, all galaxies
σ80.88 ± 0.233D cosmic shear power spectrak ≤ 1.5 h Mpc−1, no early-type galaxies
0.88 ± 0.223D cosmic shear power spectra*k ≤ 5.0 h Mpc−1, no early-type galaxies
0.77 ± 0.111-bin correlation functionk ≲ 30 h Mpc−1, all galaxies
0.81 ± 0.106-bin correlation functionA marginalized, k ≲ 30 h Mpc−1, all galaxies
w−1.16 ± 0.383D cosmic shear power spectrak ≤ 1.5 h Mpc−1, no early-type galaxies
−1.23 ± 0.343D cosmic shear power spectra*k ≤ 5.0 h Mpc−1, no early-type galaxies
−0.86 ± 0.221-bin correlation functionk ≲ 30 h Mpc−1, all galaxies
−1.05 ± 0.346-bin correlation functionA marginalized, k ≲ 30 h Mpc−1, all galaxies
h0.78 ± 0.123D cosmic shear power spectrak ≤ 1.5 h Mpc−1, no early-type galaxies
0.83 ± 0.123D cosmic shear power spectra*k ≤ 5.0 h Mpc−1, no early-type galaxies
0.66 ± 0.111-bin correlation functionk ≲ 30 h Mpc−1, all galaxies
0.74 ± 0.146-bin correlation functionA marginalized, k ≲ 30 h Mpc−1, all galaxies
Parameterflat LCDM Lensing onlyAnalysis and Method
α|$0.44^{+0.24}_{-0.36}$|3D cosmic shear power spectrak ≤ 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 ± 0.021-bin correlation functionk ≲ 30 h Mpc−1, all galaxies
0.46 ± 0.026-bin correlation functionA marginalized, k ≲ 30 h Mpc−1, all galaxies
σ8M/0.27)α|$1.16^{+0.27}_{-0.27}$|3D cosmic shear power spectrak ≤ 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 ± 0.041-bin correlation functionk ≲ 30 h Mpc−1, all galaxies
|$0.77^{+0.03}_{-0.04}$|6-bin correlation functionA marginalized, k ≲ 30 h Mpc−1, all galaxies
flat wLCDM Lensing only
α|$0.46^{+0.23}_{-0.26}$|3D cosmic shear power spectrak ≤ 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 ± 0.031-bin correlation functionk ≲ 30 h Mpc−1, all galaxies
σ8M/0.27)α|$1.14^{+0.26}_{-0.30}$|3D cosmic shear power spectrak ≤ 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 ± 0.071-bin correlation functionk ≲ 30 h Mpc−1, all galaxies
w|$-1.40^{+1.30}_{-0.82}$|3D cosmic shear power spectrak ≤ 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 functionk ≲ 30 h Mpc−1, all galaxies
flat wCDM Lensing+WMAP7
ΩM0.252 ± 0.0793D cosmic shear power spectrak ≤ 1.5 h Mpc−1, no early-type galaxies
0.210 ± 0.0693D cosmic shear power spectra*k ≤ 5.0 h Mpc−1, no early-type galaxies
0.325 ± 0.0821-bin correlation functionk ≲ 30 h Mpc−1, all galaxies
0.256 ± 0.1106-bin correlation functionA marginalized, k ≲ 30 h Mpc−1, all galaxies
σ80.88 ± 0.233D cosmic shear power spectrak ≤ 1.5 h Mpc−1, no early-type galaxies
0.88 ± 0.223D cosmic shear power spectra*k ≤ 5.0 h Mpc−1, no early-type galaxies
0.77 ± 0.111-bin correlation functionk ≲ 30 h Mpc−1, all galaxies
0.81 ± 0.106-bin correlation functionA marginalized, k ≲ 30 h Mpc−1, all galaxies
w−1.16 ± 0.383D cosmic shear power spectrak ≤ 1.5 h Mpc−1, no early-type galaxies
−1.23 ± 0.343D cosmic shear power spectra*k ≤ 5.0 h Mpc−1, no early-type galaxies
−0.86 ± 0.221-bin correlation functionk ≲ 30 h Mpc−1, all galaxies
−1.05 ± 0.346-bin correlation functionA marginalized, k ≲ 30 h Mpc−1, all galaxies
h0.78 ± 0.123D cosmic shear power spectrak ≤ 1.5 h Mpc−1, no early-type galaxies
0.83 ± 0.123D cosmic shear power spectra*k ≤ 5.0 h Mpc−1, no early-type galaxies
0.66 ± 0.111-bin correlation functionk ≲ 30 h Mpc−1, all galaxies
0.74 ± 0.146-bin correlation functionA marginalized, k ≲ 30 h Mpc−1, all galaxies
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