CAN FOUR-ZERO-TEXTURE MASS MATRIX MODEL REPRODUCE THE QUARK AND LEPTON MIXING ANGLES AND CP VIOLATING PHASES?

2007 ◽  
Vol 16 (05) ◽  
pp. 1395-1403
Author(s):  
KOICHI MATSUDA ◽  
TAKESHI FUKUYAMA ◽  
HIROYUKI NISHIURA
Keyword(s):  
Matrix Model ◽  
Mass Matrix ◽  
Common Zero ◽  
Lepton Sector ◽  
Mixing Angles ◽  
Quark Mixing ◽  
Mass Matrices ◽  
Mixing Matrix

We study the universal quark and lepton mass matrices in the framework of SO (10) GUT. Namely, all the mass matrices have common zero texture in our model. Furthermore, we set a strict restriction from SO (10) GUT on the mass matrices. We find that good fittings to the CKM quark mixing matrix are obtained and this model naturally derives the bi-large mixings in the lepton sector.

GENERAL STUDY OF QUARK MASS MATRICES WITH FULL OFF-DIAGONAL MIXING

1992 ◽  
Vol 07 (25) ◽  
pp. 6357-6370 ◽  
Author(s):  
ROBERT E. SHROCK
Keyword(s):  
Quark Mass ◽  
Mass Matrix ◽  
General Study ◽  
Mixing Angles ◽  
Quark Masses ◽  
Rotation Matrices ◽  
Quark Mixing ◽  
Down Quark ◽  
Mass Matrices ◽  
Mixing Matrix

We study an ansatz for the quark mass matrix in which all of the nondiagonal entries are nonzero, but which still allows the quark mixing angles to be calculated in terms of ratios of quark masses and certain phases. Analytic calculations of the orthogonal rotation matrices in the up and down quark sectors and the resultant observed quark mixing matrix are presented. Comparison with experimental data is given.

scholarly journals QUARK MIXING FROM MASS MATRIX MODEL WITH FLAVOR 2 ↔ 3 SYMMETRY

2008 ◽  
Vol 23 (27n28) ◽  
pp. 4557-4568 ◽  
Author(s):  
HIROYUKI NISHIURA ◽  
KOICHI MATSUDA ◽  
TAKESHI FUKUYAMA
Keyword(s):  
Experimental Data ◽  
Matrix Model ◽  
Present Model ◽  
Mass Matrix ◽  
Invariant Structure ◽  
Quark Mixing ◽  
Mixing Matrix ◽  
Free Parameters

We consider a universal mass matrix model which has a seesaw-invariant structure with the most general texture based on flavor 2 ↔ 3 symmetry common to all quarks and leptons. The CKM quark mixing matrix of the model is analyzed. It is shown that the model is consistent with all the experimental data of quark mixings by tuning free parameters of the model. We also show that the values of parameters of the present model consistent with the experimental data are not far from the ones of the mass matrix model with a vanishing (1, 1) element.

scholarly journals UNIVERSALITY OF QUARK–LEPTON MASS MATRIX

2013 ◽  
Vol 28 (08) ◽  
pp. 1350017 ◽  
Author(s):  
TAKESHI FUKUYAMA ◽  
HIROYUKI NISHIURA
Keyword(s):  
Charged Lepton ◽  
Mass Matrix ◽  
Unitary Matrix ◽  
Mixing Angle ◽  
Phase Parameter ◽  
Quark Mixing ◽  
Mass Matrices ◽  
Mixing Matrix ◽  
Best Fit

The recently observed lepton mixing angle θ13 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 V CKM = U MNS (δ′)†PU MNS (δ) for quark mixing matrix V CKM and lepton mixing matrix U MNS (δ) in the phenomenological level. Here P is a diagonal phase mass matrix. δ′ is a slightly different phase parameter from the Dirac CP-violating phase δ = 1.1π (best fit) in the MNS lepton mixing matrix.

scholarly journals QUARK MASS MATRICES IN THE A4 MODEL

2002 ◽  
Vol 17 (10) ◽  
pp. 627-630 ◽  
Author(s):  
ERNEST MA
Keyword(s):  
Gauge Symmetry ◽  
Quark Mass ◽  
Spontaneous Breaking ◽  
Charged Current ◽  
Lepton Sector ◽  
Mixing Angles ◽  
Quark Masses ◽  
Mass Matrices ◽  
The Standard Model ◽  
Mixing Matrix

If the standard model of quark interactions is supplemented by a discrete A4 symmetry (which may be relevant for the lepton sector), the spontaneous breaking of the electroweak gauge symmetry allows arbitrary quark masses, but all mixing angles are predicted to be zero. A pattern of the explicit breaking of A4 is proposed, which results in a realistic charged-current mixing matrix.

scholarly journals UNIVERSAL MASS MATRIX AND LEPTONIC θ13 ANGLE

2011 ◽  
Vol 26 (09) ◽  
pp. 661-667 ◽  
Author(s):  
HIROYUKI NISHIURA ◽  
TAKESHI FUKUYAMA
Keyword(s):  
Mass Matrix ◽  
High Energy ◽  
Energy Scale ◽  
Unitary Matrix ◽  
Mixing Angle ◽  
Mixing Angles ◽  
Lepton Universality ◽  
Mass Matrices ◽  
Mixing Matrix ◽  
High Energy Scale

We propose a universal mixing hypothesis between quark and lepton sectors at high energy scale (probably GUT scale) where quark–lepton universality holds. Namely in the charged lepton diagonal base, all the other mass matrices for up and down quarks and neutrinos are diagonalized by the same unitary matrix except for the phase elements. Thanks to this hypothesis, the observed values of the Cabibbo–Kobayashi–Maskawa (CKM) quark mixing matrix and the mixing angles θ12 and θ23 in the Maki–Nakagawa–Sakata (MNS) lepton mixing matrix can predict the unknown magnitudes of the mixing angle θ13 and of the CP violating Dirac phase δ in the MNS matrix. Their allowed regions are rather narrow, 0.036 < sin θ13 < 0.048 and 6° < δ < 12°.

NEUTRINO OSCILLATION AND LEPTON MASS MATRIX

1994 ◽  
Vol 09 (01) ◽  
pp. 41-50 ◽  
Author(s):  
KEN-ITI MATUMOTO ◽  
DAIJIRO SUEMATSU
Keyword(s):  
Solar Neutrino ◽  
Phase Structure ◽  
Quark Mass ◽  
Mass Matrix ◽  
Lepton Sector ◽  
Solar Neutrino Problem ◽  
Quark Sector ◽  
Mass Matrices ◽  
Suppression Mechanism ◽  
The Right

We apply the empirical quark mass matrices to the lepton sector and study the solar neutrino problem and the atmospheric vμ deficit problem simultaneously. We show that their consistent explanation is possible on the basis of these matrices. The lepton sector mass matrices need the phase structure which is different from the ones of the quark sector. However, even if the phase structure of the mass matrices is identical in both sectors, an interesting suppression mechanism of sin 2 2θ12 which is related to the solar neutrino problem can be induced from the right-handed neutrino Majorana mass matrix. We discuss such a possibility through the concrete examples.

scholarly journals A discrete anatomy of the neutrino mass matrix

2014 ◽  
Vol 29 (33) ◽  
pp. 1450179
Author(s):  
G. K. Leontaris ◽  
N. D. Vlachos
Keyword(s):  
Finite Group ◽  
Neutrino Mass ◽  
Mass Matrix ◽  
Current Data ◽  
Neutrino Mass Matrix ◽  
Linear Combinations ◽  
Mixing Angle ◽  
Mass Matrices ◽  
Mixing Matrix ◽  
Charged Leptons

We investigate the possibility of expressing the charged leptons and neutrino mass matrices as linear combinations of elements of a single finite group. Constraints imposed on the resulting mixing matrix by current data restrict the group types, but allow a nonzero value for the θ13 mixing angle.

scholarly journals TWO PREDICTIVE SUPERSYMMETRIC S3×Z2 MODELS FOR THE QUARK MASS MATRICES

2005 ◽  
Vol 20 (16) ◽  
pp. 1217-1225 ◽  
Author(s):  
LUÍS LAVOURA ◽  
ERNEST MA
Keyword(s):  
Quark Mass ◽  
Quark Mixing ◽  
Mass Matrices ◽  
Mixing Matrix ◽  
Simple Models

We propose two simple models for the quark mass matrices which may be implemented through an S3×Z2 symmetry in a supersymmetric context. Each model has eight parameters and, therefore, makes two independent predictions for the quark mixing matrix. The first model predicts [Formula: see text] and [Formula: see text]. The second model, in which the forms of the up-type-quark and down-type-quark mass matrices are interchanged relative to the first one, predicts |Vub/Vcb|~0.11 and |Vtd/Vts|~0.33. Both models have sin 2β~0.5.

scholarly journals QUARK AND LEPTON MASS MATRICES WITH A4 FAMILY SYMMETRY

2007 ◽  
Vol 16 (05) ◽  
pp. 1383-1393 ◽  
Author(s):  
HIDEYUKI SAWANAKA
Keyword(s):  
Experimental Data ◽  
Neutrino Mixing ◽  
Family Symmetry ◽  
Mixing Angles ◽  
Quark Masses ◽  
Quark Sector ◽  
Mass Matrices ◽  
Mixing Matrix ◽  
Current Experimental Data

Realistic quark masses and mixing angles are obtained applying the successful A4 family symmetry for leptons, motivated by the quark-lepton assignments of SU (5). The A4 symmetry is suitable to give tri-bimaximal neutrino mixing matrix which is consistent with current experimental data. We study new scenario for the quark sector with the A4 symmetry.

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