Constraining the texture mass matrices

2016 ◽  
Vol 31 (18) ◽  
pp. 1630024 ◽  
Author(s):  
Gulsheen Ahuja
Keyword(s):  
Lepton Sector ◽  
Specific Mass ◽  
Weak Basis ◽  
Fermion Masses ◽  
Mass Matrices

The present work attempts to provide an overview of texture specific mass matrices, which, along with Weak Basis (WB) transformations, emerge as a viable framework for explaining the fermion masses and mixing data in the quark as well as lepton sector.

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 Clues towards unified textures

2014 ◽  
Vol 29 (21) ◽  
pp. 1444005 ◽  
Author(s):  
Samandeep Sharma ◽  
Priyanka Fakay ◽  
Gulsheen Ahuja ◽  
Manmohan Gupta
Keyword(s):  
Specific Mass ◽  
Weak Basis ◽  
Zero Mass ◽  
Mass Matrices ◽  
General Mass

The issue of texture specific mass matrices has been discussed by incorporating Weak Basis transformations and the concept of "naturalness." Interestingly, we find that starting from the most general mass matrices, one can arrive at texture four zero mass matrices which can fit both quark as well as lepton mixing data and are similar to the original Fritzsch ansatze.

NEUTRINO OSCILLATION AND LEPTON MASS MATRIX

1994 ◽  
Vol 09 (01) ◽  
pp. 41-50 ◽  
Author(s):  
KEN-ITI MATUMOTO ◽  
DAIJIRO SUEMATSU
Keyword(s):  
Solar Neutrino ◽  
Phase Structure ◽  
Quark Mass ◽  
Mass Matrix ◽  
Lepton Sector ◽  
Solar Neutrino Problem ◽  
Quark Sector ◽  
Mass Matrices ◽  
Suppression Mechanism ◽  
The Right

We apply the empirical quark mass matrices to the lepton sector and study the solar neutrino problem and the atmospheric vμ deficit problem simultaneously. We show that their consistent explanation is possible on the basis of these matrices. The lepton sector mass matrices need the phase structure which is different from the ones of the quark sector. However, even if the phase structure of the mass matrices is identical in both sectors, an interesting suppression mechanism of sin 2 2θ12 which is related to the solar neutrino problem can be induced from the right-handed neutrino Majorana mass matrix. We discuss such a possibility through the concrete examples.

scholarly journals IMPLICATIONS OF MEASURED PROPERTIES OF THE MIXING MATRIX ON MASS MATRICES

2007 ◽  
Vol 22 (32) ◽  
pp. 2463-2470 ◽  
Author(s):  
S. CHATURVEDI ◽  
V. GUPTA ◽  
G. SÁNCHEZ-COLÓN
Keyword(s):  
Main Diagonal ◽  
Specific Mass ◽  
Quark Sector ◽  
Mass Matrices ◽  
Mixing Matrix ◽  
The Asymmetry

It is shown how the two experimentally measurable properties of the mixing matrix V, the asymmetry Δ(V) = |V12|2 - |V21|2 of V with respect to the main diagonal and the Jarlskog invariant [Formula: see text], can be exploited to obtain constraints on possible structures of mass matrices in the quark sector. Specific mass matrices are examined in detail as an illustration.

Texture zero mass matrices and flavor mixing of quarks and leptons

2015 ◽  
Vol 30 (28) ◽  
pp. 1550138 ◽  
Author(s):  
Harald Fritzsch
Keyword(s):  
Experimental Data ◽  
Neutrino Masses ◽  
Mixing Angle ◽  
Mixing Angles ◽  
Zero Mass ◽  
Fermion Masses ◽  
Mass Matrices ◽  
Flavor Mixing ◽  
Texture Zero ◽  
The Masses

We discuss mass matrices with four texture zeros for the quarks and leptons. The three mixing angles for the quarks and leptons are functions of the fermion masses. The results agree with the experimental data. The ratio of the masses of the first two neutrinos is given by the solar mixing angle. The neutrino masses are calculated: [Formula: see text], [Formula: see text] and [Formula: see text].

scholarly journals A NEW ANSATZ FOR QUARK AND LEPTON MASS MATRICES

1992 ◽  
Vol 07 (26) ◽  
pp. 2429-2435 ◽  
Author(s):  
GIAN F. GIUDICE
Keyword(s):  
Vacuum Expectation ◽  
Cabibbo Angle ◽  
Expectation Values ◽  
Higgs Vacuum ◽  
Grand Unified Theories ◽  
Fermion Masses ◽  
Mass Matrices ◽  
Unified Theories ◽  
Free Parameters ◽  
Good Agreement

A new ansatz for quark and lepton mass matrices is proposed in the context of supersymmetric grand unified theories. The 13 parameters describing fermion masses and mixings are determined in terms of only 6 free parameters, allowing 7 testable predictions. The values of Vus, Vcb, Vub, mu, md, ms and mb are then predicted as a function of the 3 charged lepton masses, mc, mt and tan β, the ratio of Higgs vacuum expectation values. In particular the Cabibbo angle and ms/md are determined in terms of only lepton masses. All predictions are in very good agreement with experiments.

scholarly journals Texture specific mass matrices with Dirac neutrinos and their implications

2009 ◽  
Vol 79 (9) ◽  
Author(s):  
Gulsheen Ahuja ◽  
Manmohan Gupta ◽  
Monika Randhawa ◽  
Rohit Verma
Keyword(s):  
Specific Mass ◽  
Mass Matrices
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