IMPLICATIONS OF "4 TEXTURE ZEROS" MASS MATRICES BASED ON G × SU(3)fam

1996 ◽  
Vol 11 (27) ◽  
pp. 4805-4814
Author(s):  
P. S. GILL ◽  
MANMOHAN GUPTA
Keyword(s):  
Phenomenological Models ◽  
Present Model ◽  
Unified Theory ◽  
Grand Unified Theory ◽  
Matrix Elements ◽  
Unitarity Triangle ◽  
Specific Mass ◽  
Family Symmetry ◽  
Ckm Matrix ◽  
Mass Matrices

Texture specific mass matrices generated from the grand unified theory with global family symmetry, have been investigated in the context of latest data regarding [Formula: see text], |Vub|, |Vcb|, |Vtd|, |Vts| and other parameters depending on CKM matrix elements. Unlike several other phenomenological models, the present model not only accommodates the value of [Formula: see text] in the range 150–240 GeV, encompassing the CDF and D0 values, but is also able to reproduce |Vcb| = .038 ± .003 and |Vub/Vcb| = 0.08 ± 0.02, whereas |Vtd| is predicted in the range .005–.014. Further, the angles of the unitarity triangle, related to the CP-violating asymmetries, are in the ranges -1.0 ≤ sin 2α ≤ -.1, .6 ≤ sin 2α ≤ 1.0 and .48 ≤ sin 2β ≤ .56, in agreement with other recent calculations.

scholarly journals IMPLICATIONS OF PRECISION MEASUREMENTS ON TEXTURE SPECIFIC FERMION MASS MATRICES

2009 ◽  
Vol 24 (18n19) ◽  
pp. 3462-3468 ◽  
Author(s):  
MANMOHAN GUPTA ◽  
GULSHEEN AHUJA ◽  
ROHIT VERMA
Keyword(s):  
Precision Measurements ◽  
Fermion Mass ◽  
Neutrino Masses ◽  
Matrix Elements ◽  
Specific Mass ◽  
Inverted Hierarchy ◽  
Ckm Matrix ◽  
Zero Mass ◽  
Mass Matrices ◽  
Ckm Matrix Elements

Implications of texture specific mass matrices have been investigated for both quarks and neutrinos. Interestingly, for the case of quarks Fritzsch-like texture 4 zero mass matrices have been found to be compatible with the present precisely known sin 2β as well as other precise CKM matrix elements. In the case of leptonic mass matrices, for both Majorana and Dirac neutrinos we find that for texture 4, 5, 6 zero mass matrices the inverted hierarchy and degenerate scenarios of neutrino masses are ruled out by the present data.

scholarly journals Modular $S_3$-invariant flavor model in SU(5) grand unified theory

2020 ◽  
Vol 2020 (5) ◽  
Author(s):  
Tatsuo Kobayashi ◽  
Yusuke Shimizu ◽  
Kenta Takagi ◽  
Morimitsu Tanimoto ◽  
Takuya H. Tatsuishi
Keyword(s):  
Modular Forms ◽  
Vacuum Expectation ◽  
Vacuum Expectation Value ◽  
Double Beta Decay ◽  
Unified Theory ◽  
Grand Unified Theory ◽  
Mass Matrices ◽  
Charge Parity ◽  
Charged Leptons ◽  
Leptonic Charge

Abstract We present a flavor model with $S_3$ modular invariance in the framework of SU(5) grand unified theory (GUT). The $S_3$ modular forms of weights $2$ and $4$ give the quark and lepton mass matrices with a common complex parameter, the modulus $\tau$. The GUT relation of down-type quarks and charged leptons is imposed by the vacuum expectation value (VEV) of the adjoint 24-dimensional Higgs multiplet in addition to the VEVs of $5$ and $\bar 5$ Higgs multiplets of SU(5). The observed Cabibbo–Kobayashi–Maskawa and Pontecorvo–Maki–Nakagawa–Sakata mixing parameters as well as the mass eigenvalues are reproduced properly. We discuss the leptonic charge–parity phase and the effective mass of the neutrinoless double beta decay with the sum of neutrino masses.

scholarly journals FLAVOR MIXINGS AND TEXTURES OF THE FERMION MASS MATRICES

2012 ◽  
Vol 27 (31) ◽  
pp. 1230033 ◽  
Author(s):  
MANMOHAN GUPTA ◽  
GULSHEEN AHUJA
Keyword(s):  
Fermion Mass ◽  
Unitarity Triangle ◽  
Specific Mass ◽  
Weak Basis ◽  
New Developments ◽  
Comprehensive Review ◽  
Leptonic Sector ◽  
Mass Matrices ◽  
Relationship Of ◽  
The Relationship

A comprehensive review of several aspects of fermion mixing phenomenon and texture specific mass matrices have been presented. Regarding fermion mixings, implications of unitarity and certain new developments for the CKM paradigm have been discussed. In the leptonic sector, the question of possibility of CP violation has been discussed in detail from the unitarity triangle perspective. In the case of texture specific mass matrices, the issues of viability of Fritzsch-like as well as non-Fritzsch-like mass matrices have been detailed for both the quark and leptonic sectors. The relationship of textures, naturalness and weak basis rotations has also been looked into. The issue of the compatibility of texture specific mass matrices with the SO(10)-based GUT mass matrices has also been discussed.

scholarly journals BOUNDS ON QUARK MASS MATRICES ELEMENTS DUE TO MEASURED PROPERTIES OF THE MIXING MATRIX AND PRESENT VALUES OF THE QUARK MASSES

2008 ◽  
Vol 23 (11) ◽  
pp. 1729-1746 ◽  
Author(s):  
S. CHATURVEDI ◽  
V. GUPTA ◽  
G. SÁNCHEZ-COLÓN
Keyword(s):  
Energy Scale ◽  
Matrix Elements ◽  
Specific Mass ◽  
Quark Masses ◽  
Quark Sector ◽  
Mass Matrices ◽  
Simple Generalization ◽  
Mixing Matrix ◽  
Extra Parameter

We obtain constraints on possible structures of mass matrices in the quark sector by using as experimental restrictions the determined values of the quark masses at the MZ energy scale, the magnitudes of the quark mixing matrix elements V ud , V us , V cd and V cs , and the Jarlskog invariant J(V). Different cases of specific mass matrices are examined in detail. The quality of the fits for the Fritzsch- and Stech-type mass matrices is about the same with χ2/ d.o.f. = 4.23/3 = 1.41 and χ2/ d.o.f. = 9.10/4 = 2.28, respectively. The fit for a simple generalization (one extra parameter) of the Fritzsch type matrices, in the physical basis, is much better with χ2/ d.o.f. = 1.89/4 = 0.47. For comparison we also include the results using the quark masses at the 2 GeV energy scale. The fits obtained at this energy scale are similar to that at MZ energy scale, implying that our results are unaffected by the evolution of the quark masses from 2 to 91 GeV.

General structure of democratic mass matrix of lepton sector in E6 model

2018 ◽  
Vol 96 (7) ◽  
pp. 834-836
Author(s):  
A.K. Çiftçi ◽  
R. Çiftçi
Keyword(s):  
Mass Matrix ◽  
General Structure ◽  
Mass Difference ◽  
Theory Model ◽  
Unified Theory ◽  
Grand Unified Theory ◽  
Matrix Elements ◽  
Lepton Sector ◽  
Natural Approach ◽  
The Standard Model

An extension of the Standard Model (SM) fermion sector, which is inspired by the E6 grand unified theory model, may be a good candidate to explain a number of unanswered questions in SM. Existence of the E6 leptons may explain great mass difference of charged and neutral leptons. Also, democracy on mass matrix elements is a natural approach in SM. In this study, we have given general structure of democratic mass matrix of lepton sector in E6 model.

scholarly journals IMPLICATIONS OF THE UNITARITY TRIANGLE "uc" FOR J, δ AND |VCKM| ELEMENTS

2000 ◽  
Vol 15 (40) ◽  
pp. 2363-2372 ◽  
Author(s):  
MONIKA RANDHAWA ◽  
V. BHATNAGAR ◽  
P. S. GILL ◽  
M. GUPTA
Keyword(s):  
Matrix Elements ◽  
Unitarity Triangle ◽  
Ckm Matrix ◽  
Ckm Matrix Elements ◽  
Invariant Parameter

The Jarlskog rephasing invariant parameter |J| is evaluated using one of the six unitarity triangles involving well-known CKM matrix elements |Vud|, |Vus|, |Vub/Vcb|, |Vcd|, |Vcs|, and |Vcb|. With PDG2000 values of |Vud| etc. as input, we obtain |J|= (2.71±1.12)×10-5, which in the PDG representation of CKM matrix leads to the range 21° to 159° for the CP violating phase δ. The CKM matrix elements evaluated using this range of δ are in agreement with the PDG CKM matrix. The implications of refinements in the input on |J|, δ and CKM matrix elements have also been studied.

scholarly journals GLOBAL FITS TO THE CABIBBO–KOBAYASHI–MASKAWA MATRIX: UNITARITY CONDITION METHOD VERSUS STANDARD UNITARITY TRIANGLES APPROACH

2005 ◽  
Vol 20 (23) ◽  
pp. 1709-1721 ◽  
Author(s):  
PETRE DITA
Keyword(s):  
Monte Carlo ◽  
Monte Carlo Simulations ◽  
Fine Tuning ◽  
Unitarity Condition ◽  
Matrix Elements ◽  
Unitarity Triangle ◽  
Simple Criterion ◽  
Ckm Matrix ◽  
Condition Method ◽  
Global Fit

The aim of the paper is to make a comparison between the unitarity condition method and the standard version of the unitarity triangle approach by using as parameters four independent moduli |Uij|. This choice is motivated by the measurability property and leads to a simple criterion for the separation of unistochastic matrices from the double stochastic ones, whose fulfillment is the key point of any global fit for the CKM entries. In our formulation both the methods are exact, do not depend on any assumption as the smallness of some parameter and both can be used to global fits in the quark and fermion sectors. Monte Carlo simulations show that the separation criterion puts very strong conditions requiring a fine tuning of all the CKM matrix elements.

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