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We perform a new study of future sensitivities of galaxy redshift surveys tothe free-streaming effect caused by neutrino masses, adding the information oncosmological parameters from measurements of primary anisotropies of the cosmicmicrowave background (CMB). Our reference cosmological scenario has nineparameters and three different neutrino masses, with a hierarchy imposed byoscillation experiments. Within the present decade, the combination of theSloan Digital Sky Survey (SDSS) and CMB data from the PLANCK experiment willhave a 2-sigma detection threshold on the total neutrino mass close to 0.2 eV.This estimate is robust against the inclusion of extra free parameters in thereference cosmological model. On a longer term, the next generation ofexperiments may reach values of order sum m_nu = 0.1 eV at 2-sigma, or betterif a galaxy redshift survey significantly larger than SDSS is completed. Wealso discuss how the small changes on the free-streaming scales in the normaland inverted hierarchy schemes are translated into the expected errors fromfuture cosmological data.Comment: 14 pages, 7 figures. Added results with the KAOS proposal and 1  referenc

Probing neutrino masses with future galaxy redshift surveys