scholarly journals Fermion mass matrices, textures and beyond

2015 ◽  
Vol 30 (33) ◽  
pp. 1530024 ◽  
Author(s):  
Manmohan Gupta ◽  
Priyanka Fakay ◽  
Samandeep Sharma ◽  
Gulsheen Ahuja
Keyword(s):  
Fermion Mass ◽  
Weak Basis ◽  
Bottom Up ◽  
Mass Matrices ◽  
Finite Set

The issue of texture specific fermion mass matrices have been examined briefly from the “bottom-up” perspective. In case no conditions are imposed, the texture ansatze leads to a large number of viable possibilities. However, besides textures, if in case one incorporates the ideas of “natural mass matrices” and uses the facility of Weak Basis Transformations, then one is able to arrive at a minimal finite set of viable mass matrices in the case of quarks.

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 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 A bottom-up approach to fermion mass hierarchy: a case with vector-like fermions

2020 ◽  
Vol 2020 (4) ◽  
Author(s):  
Yoshiharu Kawamura
Keyword(s):  
Standard Model ◽  
Yukawa Coupling ◽  
High Energy ◽  
Fine Tuning ◽  
Fermion Mass ◽  
Extended Model ◽  
Mass Hierarchy ◽  
Bottom Up ◽  
Existence Proofs ◽  
The Standard Model

Abstract We propose a bottom-up approach in which a structure of high-energy physics is explored by accumulating existence proofs and/or no-go theorems in the standard model or its extension. As an illustration, we study fermion mass hierarchies based on an extension of the standard model with vector-like fermions. It is shown that the magnitude of elements of Yukawa coupling matrices can become $O(1)$ and a Yukawa coupling unification can be realized in a theory beyond the extended model, if vector-like fermions mix with three families. In this case, small Yukawa couplings in the standard model can be highly sensitive to a small variation of matrix elements, and it seems that the mass hierarchy occurs as a result of fine tuning.

scholarly journals Test of the Dimopoulos-Hall-Raby ansatz for fermion mass matrices

1992 ◽  
Vol 68 (23) ◽  
pp. 3394-3397 ◽  
Author(s):  
V. Barger ◽  
M. S. Berger ◽  
T. Han ◽  
M. Zralek
Keyword(s):  
Fermion Mass ◽  
Mass Matrices

scholarly journals LEPTON MIXING AND SEESAW MECHANISM

2006 ◽  
Vol 21 (13n14) ◽  
pp. 3015-3020 ◽  
Author(s):  
D. FALCONE
Keyword(s):  
Fermion Mass ◽  
Type I ◽  
Type Ii ◽  
Seesaw Mechanism ◽  
Mixing Angle ◽  
Mass Matrices ◽  
Typical Model

In the context of a typical model for fermion mass matrices, possibly based on the horizontal U (2) symmetry, we explore the effect of the type II seesaw mechanism on lepton mixings. We find that the combined contribution of type I and type II terms is able to explain the large but not maximal 1-2 mixing and the near maximal 2-3 mixing, while the 1-3 mixing angle is predicted to be small.

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