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 .