Matter enhanced three flavor oscillations and the solar neutrino problem

Fogli, Gian Luigi; Lisi, E.; Montanino, D.

doi:10.1103/PhysRevD.54.2048

Matter enhanced three flavor oscillations and the solar neutrino problem

Gian Luigi Fogli
(
- Bari U. and
- INFN, Bari
)
,
E. Lisi
(
- Princeton, Inst. Advanced Study and
- Bari U. and
- INFN, Bari
)
,
D. Montanino
(
- Bari U. and
- INFN, Bari
)

May, 1996

28 pages

Published in:

Phys.Rev.D 54 (1996) 2048-2062

e-Print:

hep-ph/9605273 [hep-ph]

DOI:

10.1103/PhysRevD.54.2048

Report number:

IASSNS-AST-96-21

View in:

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Abstract:

We present a systematic analysis of the three-flavor Mikheyev-Smirnov-Wolfenstein (MSW) oscillation solutions to the solar neutrino problem, in the hypothesis that the two independent neutrino square mass differences,

\delta m~2

and

m~2

, are well separated:

\delta m~2 \ll m~2

. At zeroth order in

\delta m~2/m~2

, the relevant variables for solar neutrinos are

\delta m~2

and two mixing angles,

\omega

and

\phi

. We introduce new graphical representations of the parameter space

(\delta m~2,\,\omega,\,\phi)

, that prove useful both to analyze the properties of the electron-neutrino survival probability and to present the results of the analysis of solar neutrino data. We make a detailed comparison between the theoretical predictions of the Bahcall--Pinsonneault standard solar model and the current experimental results on solar neutrino rates, and discuss thoroughly the MSW solutions found by spanning the whole three-flavor space

(\delta m~2,\,\omega,\,\phi)

. The allowed regions can be radically different from the usual ``small mixing'' and ``large mixing'' solutions, characteristic of the usual two-generation MSW approach. We also discuss the link between these results and the independent information on neutrino masses and mixings coming from accelerator and reactor oscillation searches.

26.65.+t
13.15.+g
14.60.Pq
neutrino: oscillation
resonance: oscillation
matter: effect
neutrino/e
neutrino/mu
neutrino/tau
neutrino: mass difference

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