Quark Mass, Cabibbo Angle and CKM Mixing Matrix

2021 ◽  
pp. 79-94
Author(s):  
Fumihiko Suekane
Keyword(s):  
Quark Mass ◽  
Cabibbo Angle ◽  
Mixing Matrix

scholarly journals CHASING CHOOZ

2005 ◽  
Vol 20 (06) ◽  
pp. 1234-1243 ◽  
Author(s):  
P. RAMOND
Keyword(s):  
Large Class ◽  
Quark Mass ◽  
Grand Unification ◽  
Cabibbo Angle ◽  
Down Quark ◽  
Mass Matrices ◽  
The Family ◽  
Mixing Matrix

We relate the MNS and CKM mixing matrices using ideas from grand unification. We catalog models in terms of the family symmetries of the down quark mass matrices, and emphasize the role of the Cabibbo angle in the lepton mixing matrix. We find a large class of models with an observable CHOOZ angle [Formula: see text].

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 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.

Simple quark mass matrices and mixing

1993 ◽  
Vol 71 (3-4) ◽  
pp. 172-174
Author(s):  
B. Margolis ◽  
S. Punch
Keyword(s):  
Quark Mass ◽  
Quark Masses ◽  
Down Quark ◽  
Mass Matrices ◽  
Geometric Progressions ◽  
Mixing Matrix ◽  
Two Parameters

We present mass matrices identical in form for both the up and down quark families, with the following remarkable properties. Both up and down quark masses, at a scale of 1 GeV, are well-approximated by geometric progressions. The five known quark masses and the Kobayashi–Maskawa (KM) mixing matrix agree with experiment. The KM matrix is expressed in terms of only two parameters. We give the KM matrix in the Wolfenstein form.

Cabibbo angle and quark mass spectrum

1976 ◽  
Vol 13 (3) ◽  
pp. 713-719 ◽  
Author(s):  
A. Zee
Keyword(s):  
Mass Spectrum ◽  
Quark Mass ◽  
Cabibbo Angle

scholarly journals Bottom-up discrete symmetries for Cabibbo mixing

2017 ◽  
Vol 32 (06n07) ◽  
pp. 1750047 ◽  
Author(s):  
Ivo de Medeiros Varzielas ◽  
Rasmus W. Rasmussen ◽  
Jim Talbert
Keyword(s):  
Finite Group ◽  
Finite Groups ◽  
Degrees Of Freedom ◽  
Cabibbo Angle ◽  
Bottom Up ◽  
Ckm Matrix ◽  
Special Model ◽  
Mixing Matrix ◽  
Symmetry Structure ◽  
Pmns Matrix

We perform a bottom-up search for discrete non-Abelian symmetries capable of quantizing the Cabibbo angle that parameterizes CKM mixing. Given a particular Abelian symmetry structure in the up and down sectors, we construct representations of the associated residual generators which explicitly depend on the degrees of freedom present in our effective mixing matrix. We then discretize those degrees of freedom and utilize the Groups, Algorithms, Programming (GAP) package to close the associated finite groups. This short study is performed in the context of recent results indicating that, without resorting to special model-dependent corrections, no small-order finite group can simultaneously predict all four parameters of the three-generation CKM matrix and that only groups of [Formula: see text] can predict the analogous parameters of the leptonic PMNS matrix, regardless of whether neutrinos are Dirac or Majorana particles. Therefore, a natural model of flavour might instead incorporate small(er) finite groups whose predictions for fermionic mixing are corrected via other mechanisms.

scholarly journals A comparative study between the modified Fritzsch and nearest neighbor interaction textures

2019 ◽  
Vol 34 (33) ◽  
pp. 1950224
Author(s):  
J. D. García-Aguilar ◽  
Juan Carlos Gómez-Izquierdo
Keyword(s):  
Comparative Study ◽  
Quark Mass ◽  
Nearest Neighbor ◽  
Mass Matrix ◽  
Point Of View ◽  
Flavor Symmetry ◽  
Neighbor Interaction ◽  
Mixing Matrix ◽  
Lepton Model ◽  
Good Agreement

From the mass textures’ point of view, we present a comparative study of the [Formula: see text] flavor symmetry in the left–right symmetry model (LRSM) and the baryon minus lepton model (BLM) taking into account their predictions on the CKM mixing matrix. To do this, we recover the already studied quark mass matrix, that comes from some published papers, and under certain strong assumptions, one can show that there are predictive scenarios in the LRSM and BLM where the modified Fritzsch and nearest neighbor interaction (NNI) textures drive, respectively, the quark mixings. As the main result, the CKM mixing matrix is in good agreement with the last experimental data in the flavored BLM model.

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 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.

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