Table 4.
Total corrections to the HI photoionizing background.
| Redshift |
 |
NQSO | CORR1 | CORR2 |  |
|---|---|---|---|---|---|
| bin | |||||
| Option 1: all QSOs | |||||
| 3.6−3.8 | 0.978 | 1099 | 1.283 | 1.000 | 1.255 |
| 3.8−4.0 | 1.157 | 668 | 1.258 | 1.000 | 1.455 |
| 4.0−4.2 | 1.176 | 382 | 1.314 | 1.000 | 1.545 |
| 4.2−4.4 | 1.272 | 219 | 1.370 | 1.000 | 1.742 |
| 4.4−4.6 | 1.220 | 140 | 1.402 | 1.000 | 1.710 |
| Option 2: only QSOs with IFP > 10 pMpc | |||||
| 3.6−3.8 | 1.149 | 915 | 1.309 | 0.833 | 1.252 |
| 3.8−4.0 | 1.373 | 550 | 1.283 | 0.823 | 1.450 |
| 4.0−4.2 | 1.397 | 312 | 1.350 | 0.817 | 1.540 |
| 4.2−4.4 | 1.665 | 159 | 1.428 | 0.726 | 1.726 |
| 4.4−4.6 | 1.645 | 96 | 1.492 | 0.686 | 1.683 |
Notes. The redshift bins are indicated in the first column. MFPmean/MFPW14 is the ratio between our value MFPmean and MFPW14, which are taken from Table 3. NQSO is the number of sources in each redshift bin with an IFP above a given threshold. CORR1 is the correction term, which takes into account the correlation between escape fraction and IFP, as observed in Fig. 7, and it is computed as ⟨IFP * fesc⟩/(⟨IFP⟩*⟨fesc⟩). CORR2 is the fraction between the number of QSOs with IFP above a given threshold and the total number of QSOs in each redshift bin. 
is the product of MFPnew/MFPW14 with CORR1 and CORR2.
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