Comparison of the allowed range for the mass, m_a, of ultra-light DM from our analysis with other constraints in literature coming from analysis at different scales. In blue, we report the constraints from cosmological observation (cosmic microwave background and large-scale structures) from Hlozek et al. (2015), Hložek et al. (2018). In green, we report the constraints from analysis in dwarf spheroidal galaxies (dSph; Chen et al. 2017). Purple boxes report constraints from the analysis of the Lyman-α forest from Rogers & Peiris (2021). In orange, we report the allowed range for m_a resulting from the analysis of SMBH superradiance in Davoudiasl & Denton (2019). In aqua, we give the constraints from ultra-faint dwarf galaxies (UFD) taken from Safarzadeh & Spergel (2020). Finally, the lilac box reports the results of the analysis on subhalos from Schutz (2020). The vertical shaded strip corresponds to the intersection of the allowed intervals for m_a from most of the astrophysical and cosmological probes, with the exception of the ones coming from dSph.