scholarly journals QUARK MASS MATRIX WITH A STRUCTURE OF A RANK-ONE MATRIX PLUS A UNIT MATRIX

1995 ◽  
Vol 10 (04) ◽  
pp. 289-294 ◽  
Author(s):  
HIDEO FUSAOKA ◽  
YOSHIO KOIDE
Keyword(s):  
Matrix Model ◽  
Charged Lepton ◽  
Quark Mass ◽  
Mass Matrix ◽  
Matrix Elements ◽  
Unit Matrix ◽  
Down Quark ◽  
Mass Matrices ◽  
Mass Ratios ◽  
Rank One

A quark mass matrix model [Formula: see text] is proposed where [Formula: see text] and Oq is a unit matrix plus a rank-one matrix. Up- and down-quark mass matrices Mu and Md are described in terms of charged lepton masses and additional three parameters (one in Mu and two in Md). The model can predict reasonable quark mass ratios (not only mu/mc, mc/mt, md/ms and ms/mb, but also mu/md) and Kobayashi–Maskawa matrix elements.

scholarly journals Parameter-independent quark mass relation in the U(3) × U(3)′ model

2018 ◽  
Vol 33 (39) ◽  
pp. 1850230
Author(s):  
Yoshio Koide ◽  
Hiroyuki Nishiura
Keyword(s):  
Charged Lepton ◽  
Quark Mass ◽  
Mass Matrix ◽  
Mass Relation ◽  
Family Symmetry ◽  
Quark Masses ◽  
Down Quark ◽  
Mass Matrices ◽  
Additional Input ◽  
Matrix Formula

Recently, we have proposed a quark mass matrix model based on U(3) × U(3)[Formula: see text] family symmetry, in which up- and down-quark mass matrices [Formula: see text] and [Formula: see text] are described only by complex parameters [Formula: see text] and [Formula: see text], respectively. When we use charged lepton masses as additional input values, we can successfully obtain predictions for quark masses and Cabibbo–Kobayashi–Maskawa mixing. Since we have only one complex parameter [Formula: see text] for each mass matrix [Formula: see text], we can obtain a parameter-independent mass relation by using three equations for [Formula: see text], [Formula: see text] and [Formula: see text], where [Formula: see text] ([Formula: see text]). In this paper, we investigate the parameter-independent feature of the quark mass relation in the model.

scholarly journals Quark and lepton mass matrices described by charged lepton masses

2016 ◽  
Vol 31 (20) ◽  
pp. 1650125 ◽  
Author(s):  
Yoshio Koide ◽  
Hiroyuki Nishiura
Keyword(s):  
Matrix Model ◽  
Charged Lepton ◽  
Mass Matrix ◽  
Theoretical Aspect ◽  
Mass Matrices ◽  
Mass Ratios ◽  
Free Parameters ◽  
Remarkable Agreement

Recently, we proposed a unified mass matrix model for quarks and leptons, in which, mass ratios and mixings of the quarks and neutrinos are described by using only the observed charged lepton mass values as family-number-dependent parameters and only six family-number-independent free parameters. In spite of quite few parameters, the model gives remarkable agreement with observed data (i.e. Cabibbo–Kobayashi–Maskawa (CKM) mixing, Pontecorvo–Maki–Nakagawa–Sakata (PMNS) mixing and mass ratios). Taking this phenomenological success seriously, we give a formulation of the so-called Yukawaon model in detail from a theoretical aspect, especially for the construction of superpotentials and R charge assignments of fields. The model is considerably modified from the previous one, while the phenomenological success is kept unchanged.

RANK-ONE MASS MATRIX AND PHENOMENOLOGICAL CONSTRAINTS

1992 ◽  
Vol 07 (09) ◽  
pp. 757-762
Author(s):  
MANOJ K. SAMAL
Keyword(s):  
Top Quark ◽  
Quark Mass ◽  
Mass Matrix ◽  
Top Quark Mass ◽  
Mass Matrices ◽  
Rank One

We give the phenomenological constraints for a scheme which was recently proposed to investigate the approximately symmetric KM matrix in relation to the rank-one quark mass matrices. The allowed ranges for the parameters in this scheme are given. It is shown that out of the three interesting solutions of the symmetric KM matrix discussed in this scheme one is inconsistent with experiments, whereas another one requires a very heavy top quark mass (m t ≈255 GeV ) to be consistent.

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 NEUTRINO MIXING IN A DEMOCRATIC SEESAW MASS MATRIX MODEL

1996 ◽  
Vol 11 (36) ◽  
pp. 2849-2859 ◽  
Author(s):  
YOSHIO KOIDE
Keyword(s):  
Matrix Model ◽  
Charged Lepton ◽  
Mass Matrix ◽  
Atmospheric Neutrino ◽  
Neutrino Masses ◽  
Neutrino Mixing ◽  
Unit Matrix ◽  
Up Quark ◽  
Type Mass ◽  
Neutrino Masses And Mixings

On the basis of a seesaw-type mass matrix model for quarks and leptons, [Formula: see text] where mL∝mR are universal for f=u, d, v and e (up-quark, downquark, neutrino and charged lepton sectors respectively), and MF has a form [(unit matrix)+(democratic-type matrix)], neutrino masses and mixings are investigated. We try to understand a large vµ−vτ mixing, i.e. sin2 2θ23~1, with mv1 ≪ mv2~mv3, which has been suggested by the atmospheric neutrino data.

scholarly journals EVOLUTION OF THE QUARK MASS MATRIX

2002 ◽  
Vol 17 (23) ◽  
pp. 1525-1532
Author(s):  
MARITZA DE COSS ◽  
RODRIGO HUERTA
Keyword(s):  
Numerical Analysis ◽  
Quark Mass ◽  
Mass Matrix ◽  
Matrix Elements ◽  
Weak Basis ◽  
Mixing Angles ◽  
Quark Masses ◽  
Down Quark ◽  
Up Quark ◽  
Experimental Errors

Starting from a weak basis in which the up (or down) quark matrix is diagonal, we obtain an exact set of equations for the quark mass matrix elements in terms of known observables. We make a numerical analysis of the down (up) quark mass matrix. Using the data available for the quark masses and mixing angles at different energy scales, we found a numerical expression for these matrices. We also examine the most general case when the complex phases are introduced in the mass matrix. We find the numerical value for these phases as a function of δ, the CP-violating phase. The entire evolution of the mass matrix is found propagating the experimental errors to the final results.

A SIMPLE ANSATZ RELATING ALL MIXING ANGLES TO QUARK MASS RATIOS

1991 ◽  
Vol 06 (24) ◽  
pp. 2243-2247 ◽  
Author(s):  
DANIEL NG ◽  
Y. JACK NG
Keyword(s):  
Cp Violation ◽  
Quark Mass ◽  
Matrix Elements ◽  
Mixing Angles ◽  
Mass Matrices ◽  
Mass Ratios

A simple ansatz for quark mass matrices which yields the Kac–Moody (KM) matrix elements, [Formula: see text], Vcb = ms/mb, and [Formula: see text], is investigated, resulting in two empirical identities, md/ms = ms/mb and mu/mc = mc/mt. Using Vub = 0.004 ± 0.002, we obtain mt = (290 ± 140) GeV . We find that this prediction is consistent with other processes, such as [Formula: see text] mixing. The invariant quantity, J, of CP violation is of the order 3 × 10−5 in agreement with experiments.

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 String-Inspired Ansatz for Quark Masses and Mixing

1997 ◽  
Vol 12 (08) ◽  
pp. 561-571 ◽  
Author(s):  
Tatsuo Kobayashi ◽  
Zhi-Zhong Xing
Keyword(s):  
Quark Mass ◽  
Fine Tuning ◽  
Superstring Theory ◽  
Quark Masses ◽  
Gauge Symmetries ◽  
Down Quark ◽  
Mass Matrices ◽  
Renormalization Group Equations ◽  
Flavor Mixing ◽  
Good Agreement

We propose a simple but realistic pattern of quark mass matrices at the string scale, which can be derived from orbifold models of superstring theory with no use of gauge symmetries. This pattern is left–right symmetric and preserves the structural parallelism between up and down quark sectors. Its phenomenological consequences on flavor mixing and CP-violation are confronted with current experiments at the weak scale by using the renormalization group equations in the framework of minimal supersymmetric standard model. We find that good agreement is achievable without fine-tuning.

scholarly journals AN ANALYTICAL TREATMENT OF THE NEUTRINO MASSES AND MIXINGS

2013 ◽  
Vol 28 (39) ◽  
pp. 1350184
Author(s):  
RENATA JORA ◽  
JOSEPH SCHECHTER ◽  
M. NAEEM SHAHID
Keyword(s):  
Cp Violation ◽  
Charged Lepton ◽  
Mass Matrix ◽  
Neutrino Masses ◽  
Analytical Treatment ◽  
Unit Matrix ◽  
Mixing Matrix ◽  
Analytical Formulas ◽  
Neutrino Masses And Mixings

We obtain analytical formulas which connect the neutrino masses and the leptonic mixing matrix with the entries in the mass matrix for the approximation in which the charged lepton mixing matrix is the unit matrix. We also extract the CP violation phase and determine the conditions in which this is present.

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