Left panel: average Planck y map stacked against 790 superclusters in a coordinate system where the superclusters are located at the center and the sizes are normalized to one. For centeres of superclusters, “luminosity peak” is used. The square region, −2.5 <  Δ_l/θ_sc <  +2.5 and −2.5 <  Δ_b/θ_sc <  +2.5, comprises 31 × 31 pixels. The black circle represents a boundary of superclusters assuming circular shapes. Right panel: corresponding radial y profile (black) is compared with the y profile using “luminosity center” (blue). The 1σ uncertainties are estimated by a bootstrap resampling (see Sect. 3.4).