  We calculate the sensitivity of future cosmic microwave background probes and
large scale structure measurements from galaxy redshift surveys to the neutrino
mass. We find that, for minimal models with few parameters, a measurement of
the matter power spectrum over a large range of redshifts has more constraining
power than a single measurement at low redshifts. However, this improvement in
sensitivity does not extend to larger models. We also quantify how the
non-Gaussian nature of the posterior distribution function with respect to the
individual cosmological parameter influences such quantities as the sensitivity
and the detection threshold. For realistic assumptions about future large scale
structure data, the minimum detectable neutrino mass at 95 % C.L. is about 0.05
eV in the context of a minimal 8-parameter cosmological model. In a more
general model framework, however, the detection threshold can increase by as
much as a factor of three.

Astrophysics;High Energy Physics - Phenomenology