MUSE Deep-Fields: The Lya Luminosity Function in the Hubble Deep Field South at 2.91 < z < 6.64
Alyssa B. Drake, Bruno Guiderdoni, Jeremy Blaizot, Lutz Wisotzki,, Edmund Christian Herenz, Thibault Garel, Johan Richard, Roland Bacon, David, Bina, Sebastiano Cantalupo, Thierry Contini, Mark den Brock, Takuya, Hashimoto, Raffaella Anna Marino, Roser Pello, Joop Schaye

TL;DR
This study estimates the Lyα luminosity function in the Hubble Deep Field South at redshifts 2.91 to 6.64 using MUSE spectroscopy, revealing higher number densities than previous reports and emphasizing the importance of accurate flux measurements.
Contribution
First to estimate the Lyα luminosity function in this redshift range with blind MUSE spectroscopy, accounting for extended emission and flux underestimation, providing a benchmark for future deep-field studies.
Findings
Luminosity function is 2-3 times higher than previous estimates.
No strong evolution observed in the luminosity function across the studied redshift range.
Accurate flux estimation significantly impacts the derived luminosity function.
Abstract
We present the first estimate of the Ly{\alpha} luminosity function using blind spectroscopy from the Multi Unit Spectroscopic Explorer, MUSE, in the Hubble Deep Field South. Using automatic source-detection software, we assemble a homogeneously-detected sample of 59 Ly{\alpha} emitters covering a flux range of -18.0 < log10 (F) < -16.3 (erg s^-1 cm^-2), corresponding to luminosities of 41.4 < log10 (L) < 42.8 (erg s^-1). As recent studies have shown, Ly{\alpha} fluxes can be underestimated by a factor of two or more via traditional methods, and so we undertake a careful assessment of each object's Ly{\alpha} flux using a curve-of-growth analysis to account for extended emission. We describe our self-consistent method for determining the completeness of the sample, and present an estimate of the global Ly{\alpha} luminosity function between redshifts 2.91 < z < 6.64 using the 1/Vmax…
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