Table 1.
Redshift evolution of the MFP for all QSOs at 3.6 ≤ z ≤ 4.6 and I ≤ 20.0 (option 1).
| η | MFP(z = 4) | Magnitude bin M1450 |
|---|---|---|
| pMpc | ||
| All redshift bins | ||
| −4.6 ± 0.6 | 51.6 ± 1.6 | −28.5 ≤ M1450 ≤ −27.5 |
| −4.0 ± 0.5 | 43.9 ± 1.1 | −27.5 ≤ M1450 ≤ −26.5 |
| −3.3 ± 0.6 | 39.4 ± 1.2 | −26.5 ≤ M1450 ≤ −25.5 |
| Excluding 3.6−3.8 redshift bin | ||
| −5.3 ± 1.0 | 53.2 ± 2.4 | −28.5 ≤ M1450 ≤ −27.5 |
| −5.1 ± 0.3 | 45.7 ± 0.5 | −27.5 ≤ M1450 ≤ −26.5 |
| −4.7 ± 0.4 | 40.8 ± 0.6 | −26.5 ≤ M1450 ≤ −25.5 |
Notes. The first two columns are the best-fit slope and normalization at z = 4. The last column indicates the absolute magnitude bins. For comparison, the best-fit values by Worseck et al. (2014) are MFP(z = 4) = 37 ± 2 pMpc and η = −5.4 ± 0.4. We excluded the 3.6 < z < 3.8 redshift bin from the fit of the MFP(z) relation in the bottom part because it might be affected by a possibly underestimated free path. The underestimation would be due to the limited wavelength coverage of the SDSS spectra in the bluer wavelengths.
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