KiDS-1000: Weak lensing and intrinsic alignment around luminous red galaxies

Open Access

Table 1.

Priors adopted in the fit and the corresponding fiducial values.

Parameter	Prior	Fiducial
f_conc	[0.1, 1]	$0 . 98_{- 0.054}^{+ 0.017}$ $0.98_{-0.054}^{+0.017}$ (0.999)
log(L₀/[h⁻² L_⊙])	[7, 13]	$9 . 95_{- 0.577}^{+ 0.331}$ $9.95_{-0.577}^{+0.331}$ (10.357)
4log(M₁/[h⁻¹ M_⊙])	[9.0, 14.0]	$11 . 66_{- 0.434}^{+ 0.341}$ $11.66_{-0.434}^{+0.341}$ (12.070)
γ₁	𝒩(3.18, 2)	$4 . 22_{- 1.863}^{+ 1.888}$ $4.22_{-1.863}^{+1.888}$ (3.146)
γ₂	[0, 2]	$0 . 42_{- 0.140}^{+ 0.174}$ $0.42_{-0.140}^{+0.174}$ (0.266)
σ_c	[0.1, 0.3]	$0 . 13_{- 0.022}^{+ 0.060}$ $0.13_{-0.022}^{+0.060}$ (0.115)
α_s	𝒩(−1.1, 0.9)	$- 1 . 73_{- 0.404}^{+ 0.524}$ $-1.73_{-0.404}^{+0.524}$ (−1.478)
b₀	𝒩(0, 1.5)	$- 1 . 36_{- 0.456}^{+ 0.491}$ $-1.36_{-0.456}^{+0.491}$ (−1.607)
b₁	𝒩(1.5, 2.0)	$0 . 86_{- 0.359}^{+ 0.287}$ $0.86_{-0.359}^{+0.287}$ (1.056)

Notes. Fiducial values are here reported as the median of the marginal posteriors, while the best fit values are reported in brackets. The error bars correspond to the 16th and 84th percentiles. 𝒩(μ, σ) indicates a normal distribution with mean μ and standard deviation σ. Parameter f_conc is the normalisation of the concentration-halo mass relation, L₀ the normalisation of L_c(M) relation, M₁ the characteristic scale where L_c(M) changes the slope from γ₁ to γ₂. Furthermore σ_c is the scatter between luminosity and halo mass, while α_s, b₁, and b₂ govern the slope and the normalisation of the Schechter function, respectively.

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