2006/08/08 by Vincent Desjacques, Adi Nusser, R. K. Sheth +1
Engineering · Mathematics · Physics and Astronomy · #Astronomy #Astrophysics #CCD and CMOS Imaging Sensors #Galaxies: Formation, Evolution, Phenomena #Galaxy #Gamma-ray bursts and supernovae #Log-normal distribution #Mathematics #Physics #Power law #Probability density function #Probability distribution #Quasar #Redshift #Sky #Spectral density #Spectral line #Statistics #astro-ph
paper · pdf · doi:10.1111/j.1365-2966.2006.11134.x
published as Mon.Not.Roy.Astron.Soc.374:206-219,2007 · 16 pages. submitted to MNRAS
arxiv created 2006/08/08 · openalex publication_date 2006/11/21 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We present a measurement of the probability distribution function (PDF) of the transmitted flux in the Lyman α (Lyα) forest from a sample of 3492 quasars included in the Sloan Digital Sky Survey data release 3 (SDSS DR3). Our intention is to investigate the sensitivity of the Lyα flux PDF as measured from low-resolution and low signal-to-noise ratio data to a number of systematic errors such as uncertainties in the mean flux, continuum and noise estimate. The quasar continuum is described by the superposition of a power law and emission lines. We perform a power-law continuum fitting on a spectrum-by-spectrum basis, and obtain an average continuum slope of αν= 0.59 ± 0.36 in the redshift range 2.5 < z < 3.5. We take into account that the variation in the continuum indices increases the mean flux by 3 and 7 per cent at z= 3 and 2.4, respectively, as compared to the values inferred with a single (mean) continuum slope. We compare our measurements to the PDF obtained with mock lognormal spectra, whose statistical properties have been constrained to match the observed Lyα flux PDF and power spectrum of high-resolution data. Using our power-law continuum fitting and the SDSS pipeline noise estimate yields a poor agreement between the observed and mock PDFs. Allowing for a break in the continuum slope and, more importantly, for residual scatter in the continuum level substantially improves the agreement. A decrease of ∼10–15 per cent in the mean quasar continuum with a typical rms variance at the 20 per cent level can account for the data, provided that the noise excess correction is no larger than ≲10 per cent.