scholarly journals Minimal ten-parameter hermitian texture zeroes mass matrices and the CKM matrix

1998 ◽  
Author(s):  
M. Baillargeon ◽  
F. Boudjema ◽  
C. Hamzaoui ◽  
J. Lindig
Keyword(s):  
Ckm Matrix ◽  
Mass Matrices

scholarly journals A NEW APPROACH TO THE PARAMETRIZATION OF THE CABIBBO–KOBAYASHI–MASKAWA MATRIX

2001 ◽  
Vol 16 (09) ◽  
pp. 1645-1652 ◽  
Author(s):  
V. GUPTA
Keyword(s):  
Cp Violation ◽  
Linear Combination ◽  
Quark Mass ◽  
New Approach ◽  
Ckm Matrix ◽  
Unit Matrix ◽  
Mass Matrices ◽  
The Matrix ◽  
Special Case

The CKM-matrix V is written as a linear combination of the unit matrix I and a matrix U which causes intergenerational-mixing. It is shown that such a V results from a class of quark-mass matrices. The matrix U has to be Hermitian and unitary and therefore can depend at most on four real parameters. The available data on the CKM-matrix including CP-violation can be reproduced by [Formula: see text]. This is also true for the special case when U depends on only 2 real parameters. Also, for such a V the invariant phase Φ≡ϕ12+ϕ23-ϕ13, satisfies a criterion suggested for "maximal" CP-violation.

scholarly journals Quark mass matrices, textures and CKM precision measurements

2017 ◽  
Vol 32 (25) ◽  
pp. 1750151 ◽  
Author(s):  
Rohit Verma
Keyword(s):  
Quark Mass ◽  
Mass Matrix ◽  
Precision Measurements ◽  
Physical Parameters ◽  
Model Framework ◽  
Ckm Matrix ◽  
Mixing Angles ◽  
Mixing Parameters ◽  
Mass Matrices ◽  
Model Independent

In the light of several recent analyses pointing toward texture 4-zero Fritzsch-like quark mass matrices as the only viable structures for quark mass matrices, this work adopts a model independent approach to reconstruct an alternate and simplified structure of texture specific quark mass matrices in a generalized “[Formula: see text]-diagonal” basis within the Standard Model framework using the unitarity of CKM matrix and the observed hierarchies in quark mass spectra and mixing angles. It is observed that the measured [Formula: see text] values of the three physical parameters namely [Formula: see text], [Formula: see text] and [Formula: see text] naturally lead to the vanishing of (11) element in the down type quark mass matrix and that the single measurable CP violating phase [Formula: see text] in the CKM matrix is sufficient enough in [Formula: see text] to explain the observed mixing pattern in a suitable basis. The leading order as well as exact analytic phenomenological solutions are addressed for the modest pattern of quark mass matrices derived from CKM matrix and precision measurements of mixing parameters.

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 Flavor mixing of quarks and a new texture

2021 ◽  
Vol 36 (13) ◽  
pp. 2150097
Author(s):  
Harald Fritzsch
Keyword(s):  
Matrix Element ◽  
Ckm Matrix ◽  
Mixing Angle ◽  
Mixing Angles ◽  
Quark Masses ◽  
The Third ◽  
Phase Parameter ◽  
Mass Matrices ◽  
Flavor Mixing

The flavor mixing of the quarks is described by the CKM matrix, which is parametrized by three mixing angles and one phase parameter. We discuss a new texture for the two mass matrices of the six quarks. The three flavor mixing angles can be calculated — they are functions of the ratios of the quark masses. The third mixing angle is given by the CKM matrix element [Formula: see text]. We find: [Formula: see text]. The calculated mixing angles agree with the mixing angles, measured in many experiments.

Implications of Pure Phase Mass Matrices

1997 ◽  
Vol 12 (24) ◽  
pp. 1737-1744 ◽  
Author(s):  
Paul M. Fishbane ◽  
P. Q. Hung
Keyword(s):  
Discrete Symmetries ◽  
Higgs Field ◽  
Fermion Mass ◽  
Phase Form ◽  
Ckm Matrix ◽  
Simple Set ◽  
Fermion Masses ◽  
Mass Matrices ◽  
Pure Phase ◽  
The Hierarchical Structure

We find an example of Higgs field interactions that can produce fermion mass matrices in the highly textured symmetric pure phase form, a form consistent with phenomenology. The potential we study implies a simple set of discrete symmetries in the structure of the Lagrangian, symmetries closely connected to the hierarchical structure of fermion masses and the CKM matrix.

scholarly journals FRITZSCH-LIKE QUARK MASS MATRICES WITH DECOUPLED u QUARK

1994 ◽  
Vol 09 (26) ◽  
pp. 2461-2467 ◽  
Author(s):  
P.S. GILL ◽  
MANMOHAN GUPTA
Keyword(s):  
Cp Violation ◽  
Quark Mass ◽  
Matrix Elements ◽  
Ckm Matrix ◽  
Mass Matrices ◽  
Ckm Matrix Elements ◽  
Invariant Parameter

Fritzsch-like Hermitian quark mass matrices with decoupled u quark as well as nonzero 22-elements, both in ‘U’ and ‘D’ sectors, have been considered to reconcile the data regarding [Formula: see text] and CKM matrix elements. Exploiting the idea of maximality of CP-violation, we find two interesting relations between CKM matrix elements, viz. |Vtd|≅ |Vus||Vcb|, |Vub|≅ ½(ms/ mb)|Vus|. Apart from obtaining 0.05≤|Vub/Vcb|≤0.12 and [Formula: see text], we find CP-violating rephasing invariant parameter |J|≅(3–5)×10−5. The predicted |Vtd| value implies almost maximal mixing in [Formula: see text] system.

scholarly journals Approximate Sum Rules of CKM Matrix Elements from Quasi-Democratic Mass Matrices

1998 ◽  
Vol 99 (2) ◽  
pp. 281-291 ◽  
Author(s):  
I. S. Sogami ◽  
K. Nishida ◽  
H. Tanaka ◽  
T. Shinohara
Keyword(s):  
Sum Rules ◽  
Matrix Elements ◽  
Ckm Matrix ◽  
Mass Matrices ◽  
Ckm Matrix Elements
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