Astrometric cleaning procedure using Gaia parallaxes. Left: dereddened BDBS CMD for all the ϖ-foreground stars in Baade’s window, defined as the sources with (ϖ−ϖ_ZP) > 0.2 mas and σ_ϖ/(ϖ−ϖ_ZP) < 0.2. Middle: BDBS CMD for the ϖ-background sources. Right: distribution of proper motions in Galactic longitude (top) and latitude (bottom) for ϖ-foreground (blue) and ϖ-background (red) stars. The vertical dashed line corresponds to the cut in μ_ℓ* employed by Clarkson et al. (2008) to select bulge members.