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Measurements of the UV background at 4.6 < z < 6.4 using the quasar proximity effect
Cosmology and Nongalactic Astrophysics · Submitted 26 Nov 2010
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim We find a decline in Gamma_bkg with redshift, from log(Gamma_bkg) = -12.15 $\pm$ 0.16 at z ~ 5 to log(Gamma_bkg) = -12.84 $\pm$ 0.18 at z ~ 6 (1 sigma errors).
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We present measurements of the ionising ultraviolet background (UVB) at z ~ 5-6 using the quasar proximity effect. The fifteen quasars in our sample cover the range 4.6 < z_q < 6.4, enabling the first proximity effect measurements of the UVB at z > 5. The metagalactic hydrogen ionisation rate, Gamma_bkg, was determined by modelling the combined ionisation field from the quasar and the UVB in the proximity zone on a pixel-by-pixel basis. The optical depths in the spectra were corrected for the expected effect of the quasar until the mean flux in the proximity region equalled that in the average Ly-alpha forest, and from this we make a measurement of Gamma_bkg. A number of systematic effects were tested using synthetic spectra. Noise in the flux was found to be the largest source of bias at z ~ 5, while uncertainties in the mean transmitted Ly-alpha flux are responsible for the largest bias at z ~ 6. The impacts of large-scale overdensities and Lyman limit systems on Gamma_bkg were also investigated, but found to be small at z > 5. We find a decline in Gamma_bkg with redshift, from log(Gamma_bkg) = -12.15 $\pm$ 0.16 at z ~ 5 to log(Gamma_bkg) = -12.84 $\pm$ 0.18 at z ~ 6 (1 sigma errors). Compared to UVB measurements at lower redshifts, our measurements suggest a drop of a factor of five in the HI photoionisation rate between z ~ 4 and z ~ 6. The decline of Gamma_bkg appears to be gradual, and we find no evidence for a sudden change in the UVB at any redshift that would indicate a rapid change in the attenuation length of ionising photons. Combined with recent measurements of the evolution of the mean free path of ionising photons, our results imply decline in the emissivity of ionising photons by roughly a factor of two from z ~ 5 to 6, albeit with significant uncertainty due to the measurement errors in both Gamma_bkg and the mean free path.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We present measurements of the ionising ultraviolet background (UVB) at z ~ 5-6 using the quasar proximity effect. | contribution 1.00 | 0.97 | 0.07 | asserted 1.00 |
| s1 | The fifteen quasars in our sample cover the range 4.6 < z_q < 6.4, enabling the first proximity effect measurements of the UVB at z > 5. | contribution 0.72 | 0.93 | 0.04 | asserted 1.00 |
| s2 | The metagalactic hydrogen ionisation rate, Gamma_bkg, was determined by modelling the combined ionisation field from the quasar and the UVB in the proximity zone on a pixel-by-pixel basis. | method 1.00 | 0.95 | 0.03 | asserted 1.00 |
| s3 | The optical depths in the spectra were corrected for the expected effect of the quasar until the mean flux in the proximity region equalled that in the average Ly-alpha forest, and from this we make a measurement of Gamma_bkg. | method 1.00 | 0.96 | 0.04 | asserted 1.00 |
| s4 | A number of systematic effects were tested using synthetic spectra. | method 0.98 | 0.91 | 0.01 | asserted 0.94 |
| s5 | Noise in the flux was found to be the largest source of bias at z ~ 5, while uncertainties in the mean transmitted Ly-alpha flux are responsible for the largest bias at z ~ 6. | limitation 0.58 | 0.95 | 0.03 | asserted 1.00 |
| s6 | The impacts of large-scale overdensities and Lyman limit systems on Gamma_bkg were also investigated, but found to be small at z > 5. | result 0.59 | 0.96 | 0.02 | asserted 1.00 |
| s7 | We find a decline in Gamma_bkg with redshift, from log(Gamma_bkg) = -12.15 $\pm$ 0.16 at z ~ 5 to log(Gamma_bkg) = -12.84 $\pm$ 0.18 at z ~ 6 (1 sigma errors). | result 1.00 | 0.98 | 0.70 | asserted 1.00 |
| s8 | Compared to UVB measurements at lower redshifts, our measurements suggest a drop of a factor of five in the HI photoionisation rate between z ~ 4 and z ~ 6. | result 0.51 | 0.79 | 0.22 | hedged possibility 1.00 |
| s9 | The decline of Gamma_bkg appears to be gradual, and we find no evidence for a sudden change in the UVB at any redshift that would indicate a rapid change in the attenuation length of ionising photons. | result 0.73 | 0.96 | 0.15 | asserted 0.99 |
| s10 | Combined with recent measurements of the evolution of the mean free path of ionising photons, our results imply decline in the emissivity of ionising photons by roughly a factor of two from z ~ 5 to 6, albeit with significant uncertainty due to the measurement errors in both Gamma_bkg and the mean free path. | interpretation 1.00 | 0.71 | 0.15 | hedged possibility 0.83 |
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The paper
Original abstract
We present measurements of the ionising ultraviolet background (UVB) at z ~ 5-6 using the quasar proximity effect. The fifteen quasars in our sample cover the range 4.6 < z_q < 6.4, enabling the first proximity effect measurements of the UVB at z > 5. The metagalactic hydrogen ionisation rate, Gamma_bkg, was determined by modelling the combined ionisation field from the quasar and the UVB in the proximity zone on a pixel-by-pixel basis. The optical depths in the spectra were corrected for the expected effect of the quasar until the mean flux in the proximity region equalled that in the average Ly-alpha forest, and from this we make a measurement of Gamma_bkg. A number of systematic effects were tested using synthetic spectra. Noise in the flux was found to be the largest source of bias at z ~ 5, while uncertainties in the mean transmitted Ly-alpha flux are responsible for the largest bias at z ~ 6. The impacts of large-scale overdensities and Lyman limit systems on Gamma_bkg were also investigated, but found to be small at z > 5. We find a decline in Gamma_bkg with redshift, from log(Gamma_bkg) = -12.15 $\pm$ 0.16 at z ~ 5 to log(Gamma_bkg) = -12.84 $\pm$ 0.18 at z ~ 6 (1 sigma errors). Compared to UVB measurements at lower redshifts, our measurements suggest a drop of a factor of five in the HI photoionisation rate between z ~ 4 and z ~ 6. The decline of Gamma_bkg appears to be gradual, and we find no evidence for a sudden change in the UVB at any redshift that would indicate a rapid change in the attenuation length of ionising photons. Combined with recent measurements of the evolution of the mean free path of ionising photons, our results imply decline in the emissivity of ionising photons by roughly a factor of two from z ~ 5 to 6, albeit with significant uncertainty due to the measurement errors in both Gamma_bkg and the mean free path.
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References
How later papers used it
73 later papers cite it
2 later papers by other authors are listed below: 2 used its data or values. 1 more paper by the same authors is listed: 1 used its method or tool.
Uses its method or tool 1 of 3 papers with this label · 1 by the same authors
By the same authors
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Following [ref] , $R_eq$ is related to $Γ_bg$ and the ionizing luminosity of the QSO, $L_912$, by [equation] where $σ_0$ and $α_ν^ion$ are the ionization cross section at 912 Å and the power-law index of the QSO continuum at $λ<912$ Å in the frequency domain, respectively, and $ħ$ is the reduced Planck constant. $L_912$ can be further related to the absolute magnitude corresponding the the mean luminosity at rest-frame 1450 Å, $L_1450$, by $L_912=L_1450(ν_912/ν_1450)^-α_ν^UV$.
Probing Ultra-late Reionization: Direct Measurements of the Mean Free Path over $5<z<6$ (2023) (same authors) · Methods · 0.98
Uses its data or values 2 of 10 papers with this label
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Used this paper's Gamma_HI measurements at z > 5 in its UVB calculations.
Constraints on QSO emissivity using H I and He II Lyman alpha forest (2017) · 1.00 · paraphrased: the licence does not allow quoting
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Used the measurements this paper obtained from proximity zones of high-z QSOs at z = 5 and 6.1.
New synthesis models of consistent extragalactic background light over cosmic time (2018) · 1.00 · paraphrased: the licence does not allow quoting
How the literature uses it
6 arXiv papers cite this in 7 sentences
Papers citing it · 5 sentences without a confident label
Uses its data or values 1 paper
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The photoionization rate measurements are compiled from [ref] , [ref] , [ref] , [ref] , and [ref] .[For reproducibility, the adopted $Γ_-12$ values (in units of $10^-12$ s$^-1$, prioritizing the most recent studies) are: $z=4.8$: $0.58^+0.08_-0.20$; $z=4.9$: $0.501^+0.275_-0.232$; $z=5.0$: $0.557^+0.376_-0.218$; $z=5.1$: $0.508^+0.324_-0.192$; $z=5.2$: $0.502^+0.292_-0.193$; $z=5.3$: $0.404^+0.272_-0.147$; $z=5.4$: $0.372^+0.217_-0.126$; $z=5.5$: $0.344^+0.219_-0.130$; $z=5.6$: $0.319^+0.194_-0.120$; $z=5.7$: $0.224^+0.223_-0.112$; $z=5.8$: $0.178^+0.194_-0.078$; $z=5.9$: $0.151^+0.151_-0.079$; $z=6.0$: $0.145^+0.157_-0.087$.] Since this specifies $Γ_-12$, the emulator can then predict the MFP with redshift given a model for $Q(z)$.
An emulator for the ionizing photon mean free path in ultra-high resolution simulations: the implications of mean free path measurements for the reionization history · Mean Free Path Predictions for Patchy Reionization · 1.00
Cites it as background 1 paper
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Statistics of the scarce transmitted flux in the forest are being combined with insights from quasar proximity zones to learn about the very high-redshift IGM [ref] .
High-Redshift Metals. II. Probing Reionization Galaxies with Low-Ionization Absorption Lines at Redshift Six · Introduction · 0.92
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