Table 2.
Model parameters and priors for our joint strong lensing and dynamical models.
Description | Parameters | Mock input values | Prior type | Prior range |
---|---|---|---|---|
Distances | ||||
Model time-delay distance [Mpc] | DΔt, int | 1823.42 | Flat | [1000, 3000] |
Model lens distance [Mpc] | Dd, int | 775.00 | Flat | [600, 1000] |
SPEMD | ||||
Flattening | q | Flat | [0.2, 1.0] | |
Einstein radius [arcsec] | θE | Flat | [0.01, 2.0] | |
Power law slope | γpl | Flat | [0.2, 0.8] | |
External shear strength | γext | Flat | [0.0, 0.2] | |
External shear position angle [°] | ϕext | Flat | [0.0, 360.0] | |
COMPOSITE | ||||
Stellar M/L | Υ⋆ | 2.09 | Flat | [0.5, 2.5] |
NFW flattening | q | 0.73 | Flat | [0.2, 1.0] |
NFW Einstein radius [arcsec] | θE | 0.20 | Flat | [0.01, 2.0] |
NFW scale radius [arcsec] | rs | 22.53 | Gaussian | μrs = 18.6, σrs = 2.6 |
External shear strength | γext | 0.08 | Flat | [0.0, 0.2] |
External shear position angle [°] | ϕext | 1.42 | Flat | [0.0, 360.0] |
PIEMD | ||||
Einstein radius [arcsec] | λint | 1.00 | Flat | [0.5,1.5] |
Dynamics | ||||
Anisotropy | βz(r) = const. | 0.15 | Flat | [−0.3, 0.3] |
Inclination [°] | ζ | 84.26 | Flat | [80.0, 90.0] |
Dynamics | ||||
Anisotropy | log10(βz(r)) = α + β × log10(r) | |||
Pivot | α | Flat | [−0.3, 0.3] | |
Slope | β | Flat | [−0.5, 0.5] | |
Inclination [°] | ζ | Flat | [80.0, 90.0] |
Notes. The model parameters include the cosmological distances, the SPEMD and the COMPOSITE mass distribution, the PIEMD profile (parameterising the mass sheet) and the dynamical variables, consisting of models with a constant (βz(r) = const.) and spatially varying (log10 (βz(r)) = log10 α + β × log10 (r)) anisotropy profile. The mock IFU dataset is based on the best-fitting COMPOSITE lensing-only model with a source resolution of 64 × 64 pixels and arbitrary values for the dynamical parameters. The mock cosmological distances are based on the best-fitting lensing-only model for DΔt, int and assuming H0 = 82.5 km s−1 Mpc−1, Ωm = 0.27, ΩΛ = 0.73, zd = 0.295 and zs = 0.654 for determining Dd, int. The stellar M/L is the constant multiplied to the observed light intensity distribution in the mock imaging data to obtain the dimensionless SMD, κ. For a real system with real observations, this value can then be converted to physical units such as M⊙ and L⊙.
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