319 research outputs found
Renormalizable minimal SO(10) GUT in 4D and 5D
This report is a review of the present status of GUT, especially
renormalizable minimal SO(10) GUT, and its future prospect.
It consists of two parts. In part I, I review how the minimal renormalizable
supersymmetric SO(10) GUT, an SO(10) framework with only one and one
Higgs multiplets in the Yukawa sector, is attractive because of
its high predictivity. Indeed it not only gave a consistent predictions on
neutrino oscillation data but also did reasonable and interesting values for
Leptogenesis, LFV, muon g-2, neutrinoless double beta decay etc. However, this
model suffers from problems, apart from the small deviations from the observed
values, related to running of gauge couplings and proton decay. The gauge
coupling unification may be spoiled due to the presence of intermediate scales
much lighter than the grand unification (GUT) scale. In addition, the gauge
couplings blow up around the GUT scale because of the presence of Higgs
multiplets of large representations. In order to remedy these pathologies, in
part II, we extend GUT into 5D. We propose two approaches: one is to consider
the warped extra dimension, using the bulk Higgs profile to explain the
intermediate energy scales. Another is to use the orbifold GUT. Both approaches
are complementary to each other.Comment: A talk in the workshop on GUT held at Ritsumeikan Univ. on Dec.17-19
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Renormalization Group Equation of Quark-Lepton Mass Matrices in the SO(10) Model with Two Higgs Scalars
The renormalization group equations (RGEs) of the mass matrices of quarks and
leptons in a SO(10) model with two Higgs scalars in the Yukawa coupling are
studied. This model is the minimal model of SUSY and non-SUSY SO(10) GUT which
can reproduce all the experimental data. Non-SUSY SO(10) GUT model has the
intermediate energy phase, Pati-Salam phase, and passes through the symmetry
breaking pattern, . Though minimal, it has, after the Pati-Salam
phase, four Higgs doublets in Yukawa interactions. We consider the RGE's of the
Yukawa coupling constants of quarks and charged leptons and of the coupling
constants of the dimension five operators of neutrinos corresponding to the
above symmetry breaking pattern. The scalar quartic interactions are also
incorporated.Comment: 16 pages, 1 figure; A discussion of scalar self couplings
contributions to the RGE of neutrino mass matrix and some references added, a
figure replace
Universality of Quark-Lepton Mass Matrix
The recently observed lepton mixing angle of the MNS mixing
matrix is well incorporated in a universal mixing hypothesis between quark and
lepton sectors. This hypothesis asserts that, in the charged lepton diagonal
base, all other mass matrices for up- and down-type quarks and light neutrinos
are diagonalized by the same unitary matrix except for the phase elements. It
is expressed as for
quark mixing matrix and lepton mixing matrix in the
phenomenological level. Here is a diagonal phase mass matrix.
is a slightly different phase parameter from the Dirac CP
violating phase (best fit) in the MNS lepton mixing matrix.Comment: 6 pages, 2 figures, accepted by MPL
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