Fritzsch-type quark matrices and Dirac neutrino in SU(5)

Details Fritzsch-type quark matrices and Dirac neutrino in SU(5) Fritzsch-type quark matrices and Dirac neutrino in SU(5)

Dec 1985

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1985phlb..164..333j&link_type=abstract

Physics Letters B, Volume 164, Issue 4-6, p. 333-336.

Physics

6

Scientific paper

Neutrino masses are discussed in an SU(5)×U(1)H model incorporating the Fritzsch-type structure for the quark mass matrices Mq. No right-handed SU(5) singlet neutrinos are introduced. This allows the SU(5)×U(1)H symmetry to constrain the possible neutrino mass matrix Mv. In particular, all the three neutrinos can become massive in the model in only one way corresponding to two of the neutrinos being degenerate. The third is a Majorana state with an a priori different mass. The mixing pattern of the neutrinos gets completely fixed if CP conservation and symmetric Mq are assumed. νμ <--> ντ oscillation data then force the third neutrino to be nearly degenerate with the first two, which together represent a Dirac particle. If the latter is identified with the experimentally reported 30 eV neutrino then contribution of all three neutrinos to the energy density of the universe roughly equals the critical density.

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