59,438 research outputs found
Almost maximally broken permutation symmetry for neutrino mass matrix
Assuming three light neutrinos are Majorana particles, we propose mass matrix
ansatz for the charged leptons and Majorana neutrinos with family symmetry
broken into and , respectively. Each matrix has three
parameters, which are fixed by measured charged lepton masses, differences of
squared neutrino masses relevant to the solar and the atmospheric neutrino
puzzles, and the masses of three light Majorana neutrinos as a candidate for
hot dark matter with . The resulting neutrino mixing
is compatible with the data for the current upper limit, , of neutrino-less double beta decay experiments, and the current data
for various types of neutrino oscillation experiments. One solution of our
model predicts that oscillation probability
is about with , which may not be
accessible at CHORUS and other ongoing experiments.Comment: 9 pages, RevTex, no figure
The Riemann mapping theorem from Riemann's viewpoint
This article presents a clear proof of the Riemann Mapping Theorem via
Riemann's method, uncompromised by any appeals to topological intuition.Comment: 14 pages, 2 figure
A simple modification of the maximal mixing scenario for three light neutrinos
We suggest a simple modification of the maximal mixing scenario (with
permutation symmetry) for three light neutrinos. Our neutrino mass matrix has
smaller permutation symmetry (), and
is consistent with all neutrino experiments except the Cl experiment.
The resulting mass eigenvalues for three neutrinos are for . Then these light neutrinos can account for
of the dark matter for . Our
model predicts the oscillation probability
in the range sensitive to the future experiments such as CHORUS and NOMAD.Comment: The title has been changed, to appear in Z. Phys.
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