Lyman-alpha Forests cool Warm Dark Matter

Abstract

The free-streaming of keV-scale particles impacts structure growth on scales that are probed by the Lyman-alpha forest of distant quasars. Using an unprecedentedly large sample of medium-resolution QSO spectra from the ninth data release of SDSS, along with a state-of-the-art set of hydrodynamical simulations to model the Lyman-alpha forest in the non-linear regime, we issue one of the tightest bounds to date, from Ly-$\alpha$ data alone, on pure dark matter particles : $m_X>4.09\mathrm{keV}$ (95% CL) for early decoupled thermal relics such as a hypothetical gravitino, and correspondingly $m_s>24.4\mathrm{keV}$ (95% CL) for a non-resonantly produced right-handed neutrino. This limit depends on the value on $n_s$, and Planck measures a higher value of $n_s$ than SDSS-III/BOSS. Our bounds thus change slightly when Ly-$\alpha$ data are combined with CMB data from Planck 2016. The limits shift to $m_X>2.96\mathrm{keV}$ (95% CL) and $m_s>16.0\mathrm{keV}$ (95% CL). Thanks to SDSS-III data featuring smaller uncertainties and covering a larger redshift range than SDSS-I data, our bounds confirm the most stringent results established by previous works and are further at odds with a purely non-resonantly produced sterile neutrino as dark matter.

25 pages, 8 figures. Accepted in JCAP. Contents presented at the 2015 SDSS-IV collaboration meeting in Madrid, Spain; 2016 eBOSS collaboration meeting at the EPFL (Lausanne), CH; and the 28th Rencontres de Blois (2016)

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