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We quantify the impact of massive neutrinos on the statistics of low densityregions in the intergalactic medium (IGM) as probed by the Lyman-alpha forestat redshifts z=2.2--4. Based on mock but realistic quasar (QSO) spectraextracted from hydrodynamic simulations with cold dark matter, baryons andneutrinos, we find that the probability distribution of weak Lyman-alphaabsorption features, as sampled by Lyman-alpha flux regions at hightransmissivity, is strongly affected by the presence of massive neutrinos. Weshow that systematic errors affecting the Lyman-alpha forest reduce but do noterase the neutrino signal. Using the Fisher matrix formalism, we conclude thatthe sum of the neutrino masses can be measured, using the method proposed inthis paper, with a precision smaller than 0.4 eV using a catalog of 200 highresolution (S/N~100) QSO spectra. This number reduces to 0.27 eV by making useof reasonable priors in the other parameters that also affect the statistics ofthe high transitivity regions of the Lyman-alpha forest. The constraintsobtained with this method can be combined with independent bounds from the CMB,large scale structures and measurements of the matter power spectrum from theLyman-alpha forest to produce tighter upper limits on the sum of the masses ofthe neutrinos.

Neutrino Signatures on the High Transmission Regions of the Lyman-alpha Forest