Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
1998-11-23
JHEP 9903:002,1999
Physics
High Energy Physics
High Energy Physics - Phenomenology
Latex file, 23 pages, 9 postscript figures. Typos fixed; new figures and references added; some discussions extended and refin
Scientific paper
10.1088/1126-6708/1999/03/002
The atmospheric neutrino data imply large mixing between the $\nu_\mu$ and $\nu_\tau$ states, $\theta_{23} = (45\pm 12)^\circ$, while the MSW solution to the solar neutrino problem needs very small mixing angle $\theta_{12} = (2\pm 1)^\circ$. In the quark sector the situation is rather opposite -- the 23 mixing is tiny, $\theta_{23}\simeq 2^\circ$, versus reasonable 12 mixing, $\theta_{12}\simeq 13^\circ$. We show that such complementary patterns of the quark and leptonic mixings could naturally emerge in the context of the SU(5) grand unification, assuming that the fermion mass matrices have the Fritzsch-like structures but their off-diagonal entries are not necessarily symmetric. Such a picture exhibits a `see-saw' like correspondence between the quark and leptonic mixing patterns so that the smaller the quark mixing angle is, the larger the corresponding leptonic mixing angle becomes. This fact simply follows from the fermion multiplet structure in SU(5). We also discuss a model with horizontal symmetry U(2) in which the discussed pattern of the mass matrices can arise rather naturally.
Berezhiani Zurab
Rossi Anna
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