Neutrino mass and Extreme Value Distributions in $β$-decay

Abstract

We propose a new application of the Extreme Value Theory for distributions with compact support. The novelty of our proposal is the use of these tools to estimate the neutrino mass from the energy spectrum of electrons in $β$-decay. In this way the dependence of the result on the mass of the neutrino is considerably enhanced increasing the sensitivity of the experiment.

6 pages, 3 figures; published version