Distribution of the parameters β, f_T, f_g, and 1 − b as a function of T and colour-coded according to the assumed hydrostatic bias (black: b = 0; green: b = 0.2; red: b = 0.4). The dashed lines in the panel at the bottom right are recovered through the process described in Eq. (8). Points represent quantities derived for the following input values for (M₅₀₀, z): (8 × 10¹⁴ M_⊙, 0.05), (5 × 10¹⁴ M_⊙, 0.05), (2 × 10¹⁴ M_⊙, 0.05), (8 × 10¹⁴ M_⊙, 0.5), (5 × 10¹⁴ M_⊙, 0.5), with and without a bias b; a further case (2 × 10¹⁴ M_⊙, 1) with b = 0 is considered.