Takeshi Fukuyama

Neutrino oscillation data versus minimal supersymmetric SO(10) model

WereconsidertheminimalsupersymmetricSO(10)model,whereonlyone 10 and one 126 Higgs multiplets have Yukawa couplings with matter multiplets. The model is generalized to include CP-violating phases, and examined how well its predictions can meet the current neutrino oscillation data. Using the electroweak scale data about six quark masses, three angles andone CP-phasein theCabibbo-Kobayashi-Maskawa matrix and three charged-lepton masses and given tanfl (the ratio of vacuum expectation values ofapairofHiggsdoublets),weobtainthePontecorvo-Maki-Nakagawa-Sakata matrixand the ratio, ¢m 2=¢m 2, as functions of only one free parameter in the model. In our analysis, one-loop renormalization group equations for the gauge couplings, the Yukawa couplingsandtheefiectivedimension-flveoperatorareusedtoconnectthedatabetweenthe electroweak scaleandthegranduniflcationscale. Fixingthefreeparameterappropriately, weflnd,forexample,sin 2 2µ12 »0:72, sin 2 2µ23 »0:90,sin 2 2µ13 »0:16and¢m 2 =¢m 2 » 0:19 withtanfl=45, whichare inagreement withthe currentneutrinooscillation data.

General formulation for proton decay rate in minimal supersymmetric SO(10) GUT

Abstract.We give an explicit formula for the proton decay rate in the minimal renormalizable supersymmetric (SUSY) SO(10) model. In this model, the Higgs fields consist of the 10 and

SO(10) group theory for the unified model building

\mathbf{\overline{126}}

N soliton solutions to the Bogoyavlenskii-Schiff equation and a quest for the soliton solution in (3 1) dimensions

SO(10) representations in the Yukawa interactions with matter and of the 10,

Can the SO(10) model with two Higgs doublets reproduce the observed fermion masses

\mathbf{\overline{126}}

Lepton Flavor Violating Processes and Muon g-2 in Minimal Supersymmetric SO(10) Model

, 126, and 210 representations in the Higgs potential. We present all the mass matrices for the Higgs fields contained in this minimal SUSY SO(10) model. Finally, we discuss the threshold effects of these Higgs fields on the gauge coupling unification.

Lepton and quark mass matrices

The complete tables of Clebsch–Gordan (CG) coefficients for a wide class of SO(10) SUSY grand unified theories (GUTs) are given. Explicit expressions of states of all corresponding multiplets under standard model gauge group G321=SU(3)C×SU(2)L×U(1)Y, necessary for evaluation of the CG coefficients are presented. The SUSY SO(10) GUT model considered here includes most of the Higgs irreducible representations usually used in the literature, 10, 45, 54, 120, 126, 126¯, and 210. Mass matrices of all G321 multiplets are found for the most general superpotential. These results are indispensable for the precision calculations of the gauge couplings unification and proton decay, etc.

Searching for New Physics beyond the Standard Model in Electric Dipole Moment

We study the integrable systems in higher dimensions which can be written by the trilinear form instead of by the Hirotas bilinear form. We explicitly discuss the Bogoyavlenskii-Schiff equation in (2 + 1) dimensions. Its analytical proof of multisoliton solution and a new feature are given. Being guided by the strong symmetry, we also propose a new equation in (3 + 1) dimensions.

Gauge theory of two-dimensional gravity

It is usually considered that the SO(10) model with one 10 and one 126 Higgs scalars cannot reproduce the observed quark and charged lepton masses. Against this conventional conjecture, we find solutions of the parameters which can give the observed fermion mass spectra. The SO(10) model with one 10 and one 120 Higgs scalars is also discussed.

Universal texture of quark and lepton mass matrices and a discrete symmetry Z 3

In the recently proposed minimal supersymmetric SO(10) model, the neutrino Dirac Yukawa coupling matrix, together with all the other fermion mass matrices, is completely determined once free parameters in the model are appropriately fixed so as to accommodate the recent neutrino oscillation data. Using these unambiguous neutrino Dirac Yukawa couplings, we calculate the lepton flavor violating (LFV) processes and the muon