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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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