Unified treatment of solar and atmospheric neutrino oscillations - INSPIRE

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Unified treatment of solar and atmospheric neutrino oscillations

K.S. Babu
(
- Delaware U., Bartol Inst.
)
,
Q. Shafi
(
- Delaware U.
)

Apr, 1992

18 pages

Published in:

Phys.Lett.B 294 (1992) 235-242

Published: 1992

e-Print:

hep-ph/9209214 [hep-ph]

DOI:

10.1016/0370-2693(92)90688-Z

Report number:

BA-92-27

View in:

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Abstract:

We present an ansatz for the quark and lepton mass matrices, derivable from SO(10) type GUTs, which accommodates a heavy

(> 92 GeV)

top quark and permits large mixings in the

\nu_\mu \leftrightarrow \nu_\tau

sector (as suggested by the recent Kamiokande and IMB data on the atmospheric neutrinos). The well known asymptotic relations

m_b = m_\tau

,

m_s = \frac{1}{3} m_\mu

and

m_dm_s = m_e m_\mu

all hold to a good approximation. Depending on

\nu_\mu \leftrightarrow \nu_\tau

mixing which can even be maximal, the mixing angle relevant for solar neutrino oscillation lies in the range

7.8 \times 10~{-3} \stackrel{_<}{_\sim} \sin~2 2\theta_{e\mu} \stackrel{_<}{_\sim} 2.1 \times 10~{-2}

. For the

~{71}

Ga experiment the event rate, normalized against the standard solar model prediction of 132 SNU, is estimated to be between 80 and 20 SNU.

neutrino: solar
neutrino: oscillation
fermion: mass
mass: fermion
mixing angle
supersymmetry
numerical calculations: interpretation of experiments

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