Bimaximal neutrino mixings from lopsided mass matrices - INSPIRE

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Bimaximal neutrino mixings from lopsided mass matrices

K.S. Babu
(
- Oklahoma State U.
)
,
S.M. Barr
(
- Delaware U., Bartol Inst.
)

Nov, 2001

11 pages

Published in:

Phys.Lett.B 525 (2002) 289-296

e-Print:

hep-ph/0111215 [hep-ph]

DOI:

10.1016/S0370-2693(01)01455-1

Report number:

OSU-HEP-01-09,
BA-01-49

View in:

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Abstract:

Current solar and atmospheric neutrino oscillation data seem to favor a bimaximal pattern for neutrino mixings where the matrix elements U_{e2} and U_{\mu 3} are of order one, while U_{e3} is much smaller. We show that such a pattern can be obtained quite easily in theories with ``lopsided'' mass matrices for the charged leptons and the down type quarks. A relation connecting the solar and atmospheric neutrino mixing angles is derived, \tan^2\theta_{atm} \simeq 1+ \tan^2\theta_{sol}, which predicts \sin^2 2\theta_{atm} \simeq 0.97 corresponding to the best fit LMA solution for solar neutrinos. Predictive schemes in SO(10) realizing these ideas are presented. A new class of SO(10) models with lopsided mass matrices is found which makes use of an adjoint VEV along the I_{3R} direction, rather than the traditional B-L direction.

neutrino: mixing angle
neutrino: solar
neutrino: cosmic radiation
lepton: mass
quark: mass
grand unified theory: SO(10)
neutrino: mass difference
potential: Higgs
numerical calculations: interpretation of experiments

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