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Fig. 8

image

SMF of COSMOS2015 galaxies, in four redshift bins between z = 2.5 and 5.5. In each panel, the 1 /Vmax determination is shown by green squares, while blue circles represent the SWML. Error bars of 1 /Vmax points include Poisson noise, sample variance, and the scatter due to SED fitting uncertainties (see definition of σΦ in the text). The yellow dot-dashed line represents the STY fitting function, which is a Schechter function at z< 4.5 and a power law in the bottom right panel. Empty squares are obtained from an empirical method where, instead of the Vmax correction, we apply to each galaxy the statistical weight fobs(z,ℳ) obtained from a deeper reference sample (see Sect. 4.2). At ℳ > ℳlim the empty squares are not visible since the fobs method coincides with 1 /Vmax. The 1 /Vmax determinations are fit by a double Schechter function (Eq. (4)) at , and a single Schechter (Eq. (3)) in the other bins (in all the cases, the fit is shown by a red solid line, while the red shaded area is its 1σ uncertainty). Another Schechter fit (red dashed line) to the 1 /Vmax points is made by assuming that the parameter log (ℳ/ ℳ) is equal to 10.6. By considering only the most secure zphot, we compute a lower limit for the SMF, below which we colour the plot area in grey. An arrow in the bottom part of each panel marks the observational limit in stellar mass (see Sect. 4.2).

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