Table 1
Maximum likelihood Schechter luminosity functions for LAEs in the mosaic field.
| z | Volume | Real objects† | Total† | log10φ∗ | log10L∗ | α | log ρLyᆆ | 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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