Redshift distribution of our sample. (Top) Redshift ranges covered for the Si II* λ1265, 1309, and 1533 lines. Dark blue and yellow indicate mxdf and udf-10, respectively. The gaps between the dark blue bars are the AO gap (see Sect. 2.1). (Middle) M_UV and z_sys distribution of our sample with MUSE IDs. The color bar at the right indicates the integration time. The stacked subsample is enclosed by gray squares. The M_UV corresponding to m_UV = 26.0 (magnitude cut for the stacking sample) at each redshift is shown by the black dashed line. The individually detected Si II* halos are indicated by red crosses (see Sect. 3.2 ). (Bottom) 1σ SB limits for Si II* λ1533 in mxdf (dark blue) and udf-10 (yellow), which are converted from the median surface brightness limits on the sensitivity table in Bacon et al. (2023) using the narrow band widths for Si II* λ1533 for given redshifts (see Sect. 3.1). The Si II* halos tend to have bright M_UV.