Fermion mass matrices and mixing angles in theSU(8) theory of multigenerational grand unification

1987 ◽  
Vol 98 (1) ◽  
pp. 61-71
Author(s):  
Suk Koo Yun
Keyword(s):  
Grand Unification ◽  
Fermion Mass ◽  
Mixing Angles ◽  
Mass Matrices

scholarly journals A simple grand unification view of neutrino mixing and fermion mass matrices

1999 ◽  
Vol 451 (3-4) ◽  
pp. 388-396 ◽  
Author(s):  
Guido Altarelli ◽  
Ferruccio Feruglio
Keyword(s):  
Grand Unification ◽  
Fermion Mass ◽  
Neutrino Mixing ◽  
Mass Matrices

scholarly journals APPROXIMATE FLAVOR SYMMETRIES AT A GRAND UNIFICATION SCALE

1996 ◽  
Vol 11 (12) ◽  
pp. 965-971
Author(s):  
D. GÓMEZ DUMM
Keyword(s):  
Standard Model ◽  
Higgs Doublet ◽  
Grand Unification ◽  
Fermion Mass ◽  
Flavor Symmetries ◽  
Mass Matrices ◽  
The Standard Model ◽  
The Hierarchical Structure ◽  
Doublet Model ◽  
Two Higgs Doublet Model

We study the evolution of fermion mass matrices considering the hypothesis of approximate flavor symmetries (AFS) in the standard model and a two-Higgs-doublet model. We find that the hierarchical structure is not significantly altered by the running, hence the assumption of AFS is entirely compatible with a grand unification scenario.

scholarly journals The framed Standard Model (II) — A first test against experiment

2015 ◽  
Vol 30 (30) ◽  
pp. 1530060
Author(s):  
Hong-Mo Chan ◽  
Sheung Tsun Tsou
Keyword(s):  
Standard Model ◽  
Renormalization Group Equation ◽  
Fermion Mass ◽  
Group Equation ◽  
Unknown Parameters ◽  
Mass Matrices ◽  
The Standard Model ◽  
Experimental Values ◽  
The Masses ◽  
Independent Parameters

Apart from the qualitative features described in Paper I (Ref. 1), the renormalization group equation derived for the rotation of the fermion mass matrices are amenable to quantitative study. The equation depends on a coupling and a fudge factor and, on integration, on 3 integration constants. Its application to data analysis, however, requires the input from experiment of the heaviest generation masses [Formula: see text], [Formula: see text], [Formula: see text], [Formula: see text] all of which are known, except for [Formula: see text]. Together then with the theta-angle in the QCD action, there are in all 7 real unknown parameters. Determining these 7 parameters by fitting to the experimental values of the masses [Formula: see text], [Formula: see text], [Formula: see text], the CKM elements [Formula: see text], [Formula: see text], and the neutrino oscillation angle [Formula: see text], one can then calculate and compare with experiment the following 12 other quantities [Formula: see text], [Formula: see text], [Formula: see text], [Formula: see text], [Formula: see text], [Formula: see text], [Formula: see text], [Formula: see text], [Formula: see text], [Formula: see text], [Formula: see text], [Formula: see text], and the results all agree reasonably well with data, often to within the stringent experimental error now achieved. Counting the predictions not yet measured by experiment, this means that 17 independent parameters of the standard model are now replaced by 7 in the FSM.

Nonstandard fermion mass matrices and nucleon decay

1984 ◽  
Vol 30 (1) ◽  
pp. 118-122 ◽  
Author(s):  
David Reiss ◽  
Serge Rudaz
Keyword(s):  
Fermion Mass ◽  
Nucleon Decay ◽  
Mass Matrices

scholarly journals Hierarchical Mass Matrices in a Minimal SO(10) Grand Unification. I

1994 ◽  
Vol 92 (1) ◽  
pp. 143-151 ◽  
Author(s):  
M. Bando ◽  
K.-I. Izawa ◽  
T. Takahashi
Keyword(s):  
Grand Unification ◽  
Mass Matrices

scholarly journals θ13, μτ SYMMETRY BREAKING AND NEUTRINO YUKAWA TEXTURES

2013 ◽  
Vol 28 (24) ◽  
pp. 1350118 ◽  
Author(s):  
BISWAJIT ADHIKARY ◽  
AMBAR GHOSAL ◽  
PROBIR ROY
Keyword(s):  
Symmetry Breaking ◽  
Neutrino Mass ◽  
Charged Lepton ◽  
Heavy Neutrino ◽  
Type I ◽  
Mixing Angles ◽  
Order Analysis ◽  
A Value ◽  
Mass Matrices ◽  
Best Fit

Within the type-I seesaw and in the basis where charged lepton and heavy neutrino mass matrices are real and diagonal, μτ symmetric four and three zero neutrino Yukawa textures are perturbed by lowest order μτ symmetry breaking terms. These perturbations are taken to be the most general ones for those textures. For quite small values of those symmetry breaking parameters, permitting a lowest order analysis, current best-fit ranges of neutrino mass squared differences and mixing angles are shown to be accommodable, including a value of θ13 in the observed range, provided all the light neutrinos have an inverted mass ordering.

scholarly journals Hierarchical Mass Matrices in a Minimal SO(10) Grand Unification. II

1994 ◽  
Vol 92 (6) ◽  
pp. 1137-1147
Author(s):  
M. Bando ◽  
K.-I. Izawa ◽  
T. Takahashi
Keyword(s):  
Grand Unification ◽  
Mass Matrices

scholarly journals ON FERMION MASS HIERARCHY WITH EXTRA DIMENSIONS

2000 ◽  
Vol 15 (01) ◽  
pp. 29-39 ◽  
Author(s):  
KOICHI YOSHIOKA
Keyword(s):  
Extra Dimensions ◽  
Large Extra Dimensions ◽  
Atmospheric Neutrino ◽  
Fermion Mass ◽  
Neutrino Masses ◽  
Mass Hierarchy ◽  
Mixing Angles ◽  
Four Dimensions ◽  
Matter Fields ◽  
Neutrino Masses And Mixings

Recently, various phenomenological implications of the existence of extra space–time dimensions have been investigated. In this letter, we construct a model with realistic fermion mass hierarchy with (large) extra dimensions beyond the usual four dimensions. In this model, it is assumed that some matter fields live in the bulk and the others are confined to our four-dimensional wall. It can naturally reproduce the quark and lepton mass hierarchy and mixing angles without any symmetry arguments. We also discuss some possibilities of obtaining suitable neutrino masses and mixings for the solar and atmospheric neutrino problems.

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.

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