Neutrino masses from lepton and quark mass relations and neutrino oscillations

Abstract

Determining the absolute masses of neutrinos is of fundamental importance in particle physics, nuclear physics, and astrophysics. We conjecture that intrinsic mass relations exist between leptons and quarks. Using these relations and neutrino oscillation data, we show that the inverted neutrino mass hierarchy is strongly disfavored and estimate the absolute neutrino masses to be m_{1}=0.21^{+1.70}_{-0.21} \times 10^{-4} {eV}, m_{2}=(8.7 \pm 0.1) \times 10^{-3} {eV}, and m_{3}=(4.9 \pm 0.1) \times 10^{-2} {eV}.