Maximum likelihood Schechter luminosity functions for LAEs in the mosaic field.
|z||Volume||Real objects†||Total†||log10φ∗||log10L∗||α||log ρLyα††||SFRD ††|
|104 Mpc-3||(Mpc-3)||(erg s-1)||(erg s-1 Mpc-3)||(M⊙ yr-1 Mpc-3)|
|2.92 ≤ z ≤ 3.99||3.10||193||328||–3.10||42.72||–2.03||40.154||0.014|
|4.00 ≤ z ≤ 4.99||2.57||144||346||–3.42||42.74||–2.36||40.203||0.015|
|5.00 ≤ z ≤ 6.64||3.64||50||176||–3.16||42.66||–2.86||40.939||0.083|
Notes. Marginal 68% confidence intervals on single parameters are taken from the extremes of the Δ S = 1 contours. The 68% confidence intervals on the luminosity density and SFRD however depend on the joint confidence interval the two free parameters L∗ and α (Δ S = 2.30 contour as in Fig. 8) – details in Sect. 5.3. We note that as our sample are almost entirely below L∗, the value of L∗ itself is only loosely constrained by our data, and hence we only find a single bound of the 68% confidence intervals for the Schechter parameters in two redshift bins. Thankfully this is not a problem for the luminosity density and SFRD, as the extreme values are reached in a perpendicular direction to the length of the ellipses.
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