Neutrino mass limits from the Fritzsch mass matrix

Assuming that neutrinos are Dirac particles and have a mass matrix of the Fritzsch form, we constrain the masses of the second and third neutrinos using the following experimental data: the recently improved upper bounds on ${\nu }_{\mu }$ and ${\nu }_{\tau }$ masses, the results of Lubimov et al., and neutrino-oscillation data. The masses of the second and third neutrinos are found to lie in a small region of the & plane.