TEXTURE DYNAMICS FOR NEUTRINOS

Authors
Citation
W. Krolikowski, TEXTURE DYNAMICS FOR NEUTRINOS, ACT PHY P B, 29(3), 1998, pp. 629-650
Citations number
9
Categorie Soggetti
Physics
Journal title
ACTA PHYSICA POLONICA B
ISSN journal
05874254 → ACNP
Volume
29
Issue
3
Year of publication
1998
Pages
629 - 650
Database
ISI
SICI code
0587-4254(1998)29:3<629:TDFN>2.0.ZU;2-W
Abstract
An ansatz for mass matrix was recently proposed for charged leptons, p redicting (in its diagonal approximation) m(tau) similar or equal to 1 776.80 MeV from the experimental values of m(e) and m(mu), in agreemen t with m(tau)(exp) = 1777.00(-0.27)(+0.30) MeV. Now it is applied to n eutrinos. If the amplitude of neutrino oscillations nu(mu) --> nu(tau) is similar to 1/2 and \m(nu tau)(2) - m(nu mu)(2)\ similar to (0.0003 to 0.01) eV(2), as seems to follow from atmospheric-neutrino experime nts, this ansatz predicts m(nu e) much less than m(nu mu) similar to ( 0.2 to 1) x 10(-2) eV and m(nu tau) similar to (0.2 to 1) x 10(-1) eV, and also the amplitude of neutrino oscillations nu(e) --> v(mu) simil ar to 2(-2)(+4) x 10(-4) (in the vacuum). Such a very small amplitude for nu(e) --> nu(mu) is implied by the value of m(tau)(exp) -1776.80 M eV used to determine the deviation of the diagonalizing matrix (U) ove r cap((e)) from (1) over cap in the legton Cabibbo-Kobayashi-Maskawa m atrix (V) over cap = (U) over cap((nu)) dagger (U) over cap((e)). Here , (U) over cap((nu)) by itself gives practically no oscillations nu(e) --> nu(mu), while it provides the large oscillations nu(mu) --> nu(ta u).