scholarly journals FERMION MASSES AND MIXING IN FOUR AND MORE DIMENSIONS

2006 ◽  
Vol 21 (31) ◽  
pp. 6267-6301 ◽  
Author(s):  
N. CHAMOUN ◽  
S. KHALIL
Keyword(s):  
Extra Dimensions ◽  
Quark Mass ◽  
Mass Matrix ◽  
New Physics ◽  
Fermion Mass ◽  
Superstring Theory ◽  
Quark Masses ◽  
Fermion Masses ◽  
Mass Matrices ◽  
Flavor Mixing

We give an overview of recent progress in the study of fermion mass and flavor mixing phenomena. Mass matrix ansatze are considered within the Standard Model (SM) and SUSY GUT's where some predictive frameworks based on SU(5) and SO(10) are reviewed. We describe a variety of schemes to construct quark mass matrices in extra dimensions focusing on four major classes: models with the SM residing on 3-brane, models with universal extra dimensions, models with split fermions and models with warped extra dimensions. We outline how realistic patterns of quark mass matrices could be derived from orbifold models in heterotic superstring theory. Finally, we address the fermion mass problem in intersecting D-branes scenarios, and present models with D6-branes able to give a good quantitatively description of quark masses and mixing. The role of flavor/CP violation problem as a probe of new physics is emphasized.

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.

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.

SIMPLIFIED SYMMETRIC QUARK MASS MATRICES AND FLAVOR MIXING

1991 ◽  
Vol 06 (23) ◽  
pp. 2169-2172 ◽  
Author(s):  
PAUL H. FRAMPTON ◽  
YASUHIRO OKADA
Keyword(s):  
Quark Mass ◽  
Quark Masses ◽  
Mass Matrices ◽  
Flavor Mixing ◽  
New Formula ◽  
Top Mass

A new formula relating flavor mixing and quark masses is derived from an ansatz for mass matrices. In particular, given mu, mc and |Vcb| the formula relates the top mass mt to |Vub|.

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 PROTON DECAY, FERMION MASSES AND TEXTURE FROM EXTRA DIMENSIONS IN SUSY GUT's

2004 ◽  
Vol 19 (11) ◽  
pp. 1715-1736 ◽  
Author(s):  
MITSURU KAKIZAKI ◽  
MASAHIRO YAMAGUCHI
Keyword(s):  
Extra Dimension ◽  
Mass Matrix ◽  
Spatial Dimension ◽  
Proton Decay ◽  
Mass Scale ◽  
Wave Functions ◽  
Fermion Mass ◽  
Quark Masses ◽  
Fermion Masses ◽  
The Hierarchical Structure

In supersymmetry, there are gauge invariant dimension 5 proton decay operators which must be suppressed by a mass scale much larger than the Planck mass. It is natural to expect that this suppression should be explained by a mechanism that explains the hierarchical structure of the fermion mass matrices. We apply this argument to the case where wave functions of chiral multiplets are localized under a kink background along an extra spatial dimension and the Yukawa couplings as well as the coefficients of the proton decay operators are determined by the overlap of the relevant wave functions. A configuration is found in the context of SU(5) supersymmetric grand unified theory that yields realistic values of quark masses, mixing angles, CP phase and charged lepton masses and sufficiently small genuine dimension 5 proton decay operators. Inclusion of SU(5) breaking effects is essential in order to obtain non-vanishing CP phase as well as correct lepton masses. The resulting mass matrix has a texture structure in which texture zeros are a consequence of extremely small overlap of the wave functions. Our approach requires explicit breaking of supersymmetry in the extra dimension, which can be realized in (de)constructing extra dimension.

scholarly journals NNI-Form Quark Mass Matrix Expressed by the Observable Quantities

1997 ◽  
Vol 12 (35) ◽  
pp. 2655-2664 ◽  
Author(s):  
Yoshio Koide
Keyword(s):  
Texture Analysis ◽  
General Expression ◽  
Quark Mass ◽  
Mass Matrix ◽  
Ckm Matrix ◽  
Quark Masses ◽  
Mass Matrices ◽  
Matrix Formula ◽  
Phase Convention ◽  
Type Mass

It is pointed out that the phase convention of the CKM matrix V affects texture analysis of the quark mass matrices (Mu,Md) when we try to describe (Mu,Md) by the observable quantities (quark masses and CKM matrix parameters) only. This is demonstrated for a case of non-Hermitian Fritzsch-type mass matrix [Formula: see text], which is a general expression of quark mass matrix (Mu,Md) and is described by 12 parameters. We find that we can always choose a phase convention of V which yields [Formula: see text], so that the remaining ten parameters in [Formula: see text], can be completely expressed by the ten observable quantities.

scholarly journals STATISTICAL COMPARISON OF QUARK MASS MATRICES IN THE PHYSICAL BASIS

2012 ◽  
Vol 27 (06) ◽  
pp. 1250026
Author(s):  
S. CHATURVEDI ◽  
V. GUPTA ◽  
G. SÁNCHEZ-COLÓN ◽  
S. RAJPOOT
Keyword(s):  
Quark Mass ◽  
Energy Scale ◽  
Physical Basis ◽  
Statistical Comparison ◽  
Quark Masses ◽  
Mass Matrices ◽  
Different Types ◽  
Flavor Mixing ◽  
Mixing Matrix ◽  
The Stability

Using the four best measured moduli of the flavor mixing matrix (|V ud |, |V us |, |V cd |, |V cs |), the Jarlskog invariant J(V), and the quark masses at MZ energy scale as experimental constraints, a statistical comparison of three different types of quark mass matrices in the physical basis is performed. The mass matrices in question are the Chaturvedi–Gupta–Sánchez-Colón (CGS), the Fritzsch and the Gupta–Rajpoot types. With nine parameters the best fits are obtained using a Gupta–Rajpoot-type matrix while with seven parameters the best fits are obtained using the CGS-type matrix. The stability of our analysis with respect to evolution of the quark masses is also presented.

scholarly journals QUARK MASS MATRICES IN SUPERSTRING MODELS

1998 ◽  
Vol 13 (13) ◽  
pp. 2201-2215 ◽  
Author(s):  
TATSUO KOBAYASHI ◽  
ZHI-ZHONG XING
Keyword(s):  
Experimental Data ◽  
Quark Mass ◽  
The Other ◽  
Superstring Theory ◽  
Gauge Symmetries ◽  
Down Quark ◽  
Mass Matrices ◽  
Flavor Mixing ◽  
Current Experimental Data ◽  
Good Agreement

Four simple but realistic patterns of quark mass matrices are derived from orbifold models of superstring theory in the absence of gauge symmetries. Two of them correspond to the Ramond–Roberts–Ross types, which have five texture zeros in up and down quark sectors. The other two, with four texture zeros, preserve the structural parallelism between up and down sectors. The phenomenological consequences of these mass matrices on flavor mixing and CP violation are analyzed at the weak scale. With the same input values of quark mass ratios, we find that only one or two of the four patterns can be in good agreement with current experimental data.

scholarly journals POSSIBLE TEXTURES OF THE FERMION MASS MATRICES

2011 ◽  
Vol 26 (18) ◽  
pp. 2973-2995 ◽  
Author(s):  
MANMOHAN GUPTA ◽  
GULSHEEN AHUJA
Keyword(s):  
Quark Mass ◽  
Fermion Mass ◽  
Neutrino Masses ◽  
Fermion Masses ◽  
Mass Matrices

Texture specific fermion mass matrices have played an important role in understanding several features of fermion masses and mixings. In the present work, we have given an overview of all possible cases of Fritzsch-like as well as non-Fritzsch-like texture 6 and 5 zero fermion mass matrices. Further, for the case of texture 4 zero Fritzsch-like quark mass matrices, the issue of the hierarchy of the elements of the mass matrices and the role of their phases have been discussed. Furthermore, the case of texture 4 zero Fritzsch-like lepton mass matrices has also been discussed with an emphasis on the hierarchy of neutrino masses for both Majorana and Dirac neutrinos.

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.

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