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Fig. 3.

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Marginalized distribution of the miscentring model described by Eqs. (2) and (3). σ0 has a positive correlation with redshift ( σ 0 , z = 0 . 038 0.006 + 0.006 $ \sigma_{0,z} = 0.038_{-0.006}^{+0.006} $) and a negative correlation with mass ( σ 0 , M = 0 . 019 0.002 + 0.002 $ \sigma_{0,M} = -0.019_{-0.002}^{+0.002} $). σ1 has a negative correlation with mass (σ1, M= 0 . 26 0.035 + 0.033 $ -0.26_{-0.035}^{+0.033} $). If we use the optical centre instead of the BCG to measure the offset distribution, the σ1 positive redshift correlation ( σ 0 , z = 0 . 014 0.008 + 0.008 $ \sigma_{0,z} = 0.014_{-0.008}^{+0.008} $) and σ0 negative mass correlation (σ1, M= 0 . 01 0.003 + 0.003 $ -0.01_{-0.003}^{+0.003} $) stands, though both are much weaker.

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