International audienceWe present constraints on the parameters of the ΛCDM cosmologicalmodel in the presence of massive neutrinos, using the one-dimensionalLyα forest power spectrum obtained with the Baryon OscillationSpectroscopic Survey (BOSS) of the Sloan Digital Sky Survey (SDSS) byPalanque-Delabrouille et al. (2013), complemented by additional cosmologicalprobes. The interpretation of the measured Lyα spectrum is done using asecond-order Taylor expansion of the simulated power spectrum. BOSS Lyα data alone provide better bounds than previous Lyα results,but are still poorly constraining, especially for the sum of neutrino masses∑mν, for which we obtain an upper bound of 1.1~eV (95\% CL), includingsystematics for both data and simulations. Lyα constraints onΛCDM parameters and neutrino masses are compatible with CMB bounds fromthe Planck collaboration. Interestingly, the combination of Lyα with CMBdata reduces the uncertainties significantly, due to very different directionsof degeneracy in parameter space, leading to the strongest cosmological boundto date on the total neutrino mass, ∑mν<0.15~eV at 95\% CL (with abest-fit in zero). Adding recent BAO results further tightens this constraintto ∑mν<0.14~eV at 95\% CL. This bound is nearly independent of thestatistical approach used, and of the different combinations of CMB and BAOdata sets considered in this paper in addition to Lyα. Given themeasured values of the two squared mass differences Δm2, this resulttends to favor the normal hierarchy scenario against the inverted hierarchyscenario for the masses of the active neutrino species
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