Statistical deconvolution of beta spectra: Implications for neutrino mass detection

We performed a Monte-Carlo simulation study of β− spectrum of 35S. A statistical deconvolution of the spectrum was then developed to address a priori detectability of heavy neutrino (such as the much-discussed 17 keV) in calorimetric β− measurements. We described the influence of detector energy resolution and other response parameters on the distortions in the β− spectrum and possible neutrino mass detection. A design of a Xe gas-scintillation proportional detector for precision β− spectroscopy is described.