1,755 research outputs found
Generic Relations of Flavor Mixings between Leptons and Quarks in SU(5)
We have studied implications of the generic lopsided mass matrix of the
charged leptons by taking the SU(5) GUT relation in the nearest-neighbor
interaction (NNI) basis. We have found four interesting relations among the
lepton mixings and the quark ones, which are independent of details of the
model. These relations are discussed by using the experimental data. We have
also discussed the relation between U_{e2} and U_{e3} incuding the contribution
from the neutrino mass matrix. We have presented the probable value U_{e3}=0.05
\sim 0.16, which is independent of the solar neutrino solutions. The CP
violating quantity J_{CP} is also discussed.Comment: 16 pages, 2 figures, Some discussions are modified, but results are
not change
5-State Rotation-Symmetric Number-Conserving Cellular Automata are not Strongly Universal
We study two-dimensional rotation-symmetric number-conserving cellular
automata working on the von Neumann neighborhood (RNCA). It is known that such
automata with 4 states or less are trivial, so we investigate the possible
rules with 5 states. We give a full characterization of these automata and show
that they cannot be strongly Turing universal. However, we give example of
constructions that allow to embed some boolean circuit elements in a 5-states
RNCA
Phenomenology of Neutrino Mass Matrix
The search for possible mixing patterns of charged leptons and neutrinos is
important to get clues of the origin of nearly maximal mixings, since there are
some preferred bases of the lepton mass matrices given by underlying theories.
We systematically examine the mixing patterns which could lead to large lepton
mixing angles. We find out 37 mixing patterns are consistent with experimental
data if taking into account phase factors in the mixing matrices. Only 6
patterns of them can explain the observed data without any tuning of
parameters, while the others need particular choices for phase values.Comment: revised reference
Are lepton flavor mixings in the democratic mass matrix stable against quantum corrections?
We investigate whether the lepton flavor mixing angles in the so-called
democratic type of mass matrix are stable against quantum corrections or not in
the minimal supersymmetric standard model with dimension five operator which
induces neutrino mass matrix. By taking simple breaking patterns of or flavor symmetries and the scale where
democratic textures are induced as GeV, we find that the stability
of the lepton flavor mixing angles in the democratic type of mass matrix
against quantum corrections depends on the solar neutrino solutions. The
maximal flavor mixing of the vacuum oscillation solution is spoiled by the
quantum corrections in the experimental allowed region of . The
large angle MSW solution is spoiled by the quantum corrections in the region of
. The condition of is needed in order to
obtain the suitable mass squared difference of the small angle MSW solution.
These strong constraints must be regarded for the model building of the
democratic type of mass matrixComment: 12pages,LaTe
Corrections to Gravity due to a Sol Manifold Extra Dimensional Space
The corrections to the gravitational potential due to a Sol extra dimensional
compact manifold, denoted as , are studied. The total spacetime is of
the form . The range of the Sol corrections is investigated
and compared to the range of the corrections.Comment: 13 pages, 10 figures, published versio
What Does mu-tau Symmetry Imply about Neutrino Mixings?
The requirement of the mu-tau symmetry in the neutrino sector that yields the
maximal atmospheric neutrino mixing is shown to yield either sin(\theta_{13})=0
(referred to as C1)) or sin(\theta_{12})=0 (referred to as C2)), where
\theta_{12(13)} stands for the solar (reactor) neutrino mixing angle. We study
general properties possessed by approximately mu-tau symmetric textures. It is
argued that the tiny mu-tau symmetry breaking generally leads to
cos(2\theta_{23}) \simsin(\theta_{13}) for C1) and cos(2\theta_{23}) \sim
\Delta m^2_\odot/\Delta m^2_{atm}(\equiv R) for C2), which indicates that the
smallness of cos(2\theta_{23}) is a good measure of the mu-tau symmetry
breaking, where \Delta m^2_{atm} (\Delta m^2_\odot) stands for the square mass
differences of atmospheric (solar) neutrinos. We further find that the relation
R \sim sin^2(\theta_{13}) arises from contributions of O(sin^2(\theta_{13})) in
the estimation of the neutrino masses (m_{1,2,3}) for C1), and that possible
forms of textures are strongly restricted to realize sin^2(2\theta_{12})=O(1)
for C2). To satisfy R \sim sin^2(\theta_{13}) for C1), neutrinos exhibit the
inverted mass hierarchy, or the quasi degenerate mass pattern with | m_{1,2,3}|
\sim O(\sqrt{\Delta m^2_{atm}}), and, to realize sin^2(2\theta_{12})=O(1) for
C2), there should be an additional small parameter \eta whose size is
comparable to that of the mu-tau symmetry breaking parameter \epsilon, giving
tan(2\theta_{12}) \sim \epsilon/\eta with \eta \sim \epsilon to be compatible
with the observed large mixing.Comment: 10 pages, title slightly modified, comments added in the introdction,
typos corrected, references updated, version to appear in Physical Reviews
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