Survey of gravitationally-lensed objects in HSC imaging (SuGOHI) - III. Statistical strong lensing constraints on the stellar IMF of CMASS galaxies

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Volume 630 (October 2019)

A&A, 630 (2019) A71

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Table 6.

Inferred values of the hyper-parameters, with 68% credible intervals.

Parameter	Base model	“Arctan” model	“Gaussian” model	Description
μ_h, 0	12.76 ± 0.03	12.77 ± 0.03	12.76 ± 0.03	Mean log M_h at log
σ_h	0.32 ± 0.03	0.32 ± 0.03	0.32 ± 0.03	Scatter in log M_h around the mean
β_h	1.79 ± 0.10	1.78 ± 0.10	1.82 ± 0.11	Power-law dependence of halo mass on
μ_IMF	0.14 ± 0.05	−0.04 ± 0.11	−0.03 ± 0.12	Mean logα_IMF
σ_IMF	0.06 ± 0.05	0.10 ± 0.07	0.11 ± 0.07	Scatter in logα_IMF
μ_s	0.89 ± 0.51	0.58 ± 0.41	0.56 ± 0.39	Mean source redshift
σ_s	1.06 ± 0.29	0.96 ± 0.16	0.96 ± 0.18	Scatter in the source redshift
log m	…	1.55 ± 0.56	…	Lens detection efficiency parameter (“Arctan” model)
θ₀	…	0.95 ± 0.09	…	Lens detection efficiency parameter (“‘Arctan” model)
μ_θ	…	…	1.49 ± 0.14	Lens detection efficiency parameter (“Gaussian” model)
σ_θ	…	…	0.32 ± 0.10	Lens detection efficiency parameter (“Gaussian” model)

Notes. The first column refers to the inference obtained with the base model, introduced in Sect. 4. Values in the second and third column refer to the models with detection efficiency correction introduced in Sect. 5.

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