Fractional deviation of the measured velocity spectra from our best-fitting models. Different rows mark different redshifts as specified on the left of the panels. The first and third columns show the fit of P_δθ using Eq. (6), and the fit of P_θθ using Eq. (7). The second and fourth columns show results corresponding to Eqs. (10) and (11). The black dashed line marks the 0, while the light/dark gray bands represent the 5%/3% deviations from the measurements. Finally, the red shaded color shows the results for various neutrino masses (darker when increasing the neutrino mass) using the fitted shape parameters while the blue shaded lines show the results when using the fitted dependance of the shape parameters with respect to σ_8, m (see Eq. (12)).