A strong redshift dependence of the broad absorption line quasar fraction
James T. Allen, Paul C. Hewett, Natasha Maddox, Gordon T. Richards and, Vasily Belokurov

TL;DR
This study uses advanced spectral analysis to determine that the intrinsic fraction of broad absorption line quasars significantly decreases with redshift, challenging simple orientation-based models.
Contribution
It introduces a non-negative matrix factorisation method for spectral reconstruction and provides the first detailed measurement of redshift dependence of BALQSO fraction accounting for selection effects.
Findings
Intrinsic CIV BALQSO fraction is about 41% after corrections.
The BALQSO fraction decreases by a factor of 3.5 from z~4.0 to z~2.0.
Redshift dependence suggests orientation alone cannot explain BAL features.
Abstract
We describe the application of non-negative matrix factorisation to generate compact reconstructions of quasar spectra from the Sloan Digital Sky Survey (SDSS), with particular reference to broad absorption line quasars (BALQSOs). BAL properties are measured for SiIV lambda1400, CIV lambda1550, AlIII lambda1860 and MgII lambda2800, resulting in a catalogue of 3547 BALQSOs. Two corrections, based on extensive testing of synthetic BALQSO spectra, are applied in order to estimate the intrinsic fraction of CIV BALQSOs. First, the probability of an observed BALQSO spectrum being identified as such by our algorithm is calculated as a function of redshift, signal-to-noise ratio and BAL properties. Second, the different completenesses of the SDSS target selection algorithm for BALQSOs and non-BAL quasars are quantified. Accounting for these selection effects the intrinsic CIV BALQSO fraction is…
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