Observed and estimated properties for our study sample of RR Lyrae stars (light blue dots) and the candidates for high-velocity RR Lyrae stars (HV-RRL, with individual markers color-coded on the basis of the P_unb). Top-left panel: depicts the color-magnitude diagram based on the Gaia passbands, the bottom left panel: spatial distribution in Galactic coordinates of our found HV-RRL candidates. The Galactic rest-frame velocity, v_GC, with respect to the Galactocentric distance, R_GC, is depicted in the bottom right panel. For each point fulfilling the condition in Eq. (2), we plotted also its 1σ covariance in the form of an error ellipse using the same color-coding as for the data point. Bottom left panel: the Galactic plane is denoted by the solid black line and the red dashed line outlines the Sagittarius stream. Individual blue lines in the bottom right panel represent escape velocity curves calculated using a different gravitational potential for the MW with the solid line representing the MWPotential2014, the dashed line denoting the MWPotential2014^M, and the dotted line marking the MWPotential2014^H.