Acta Physica Polonica B

Vol. 36, No. 6, June 2005, page 2051


Lepton Generation-Weighting Factors and Neutrino Mass Formula

W. Krolikowski

A candidate for the simple empirical neutrino mass formula is found, predicting the mass proportion m1 : m2 : m3 = 0 : 4 : 24 and so, the mass ratio \Delta m232/\Delta m221 = 35 not inconsistent with its experimental estimate. It involves only one free parameter and three generation-weighting factors suggested by the successful mass formula found previously for charged leptons (the simplest neutrino mass formula would predict m1 : m2 : m3 = 1 : 4 : 24 and thus, \Delta m232/\Delta m221 \simeq 37). A more involved variation of this equation follows from a special seesaw neutrino model with specifically ``conspiring'' Dirac and Majorana neutrino mass matrices. In this variation m1 : m2 : m3 \simeq \varepsilon (\nu ) : 4 : 24, where O(\varepsilon (\nu )) = 10-2.

PACS numbers: 12.15.Ff, 14.60.Pq, 12.15.Hh



 
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