Texture zero mass matrices and CP violation

2017 ◽  
Vol 32 (16) ◽  
pp. 1742005 ◽  
Author(s):  
Gulsheen Ahuja ◽  
Samandeep Sharma
Keyword(s):  
Cp Violation ◽  
Viable Option ◽  
Weak Basis ◽  
Zero Mass ◽  
Leptonic Sector ◽  
Mass Matrices ◽  
The Standard Model ◽  
Texture Zero ◽  
General Mass ◽  
Invariant Parameter

Within the Standard Model, using the facility of making Weak Basis transformations, attempt has been made to examine the most general mass matrices within the texture zero approach. For the case of quarks, interestingly, one finds a particular set of texture four zero quark mass matrices emerging out to be a unique viable option for the description of quark mixing data as well as for accommodation of CP violation. Similarly, general lepton mass matrices, essentially considered as texture zero mass matrices, yield interesting bounds on the CP violating Jarlskog’s rephasing invariant parameter in the leptonic sector.

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.

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 Implications of the Muon g-2 result on the flavour structure of the lepton mass matrix

2021 ◽  
Vol 81 (10) ◽  
Author(s):  
Lorenzo Calibbi ◽  
M. L. López-Ibáñez ◽  
Aurora Melis ◽  
Oscar Vives
Keyword(s):  
Mass Matrix ◽  
New Physics ◽  
Flavor Symmetry ◽  
Moment Matrix ◽  
Leptonic Sector ◽  
Mass Matrices ◽  
The Standard Model ◽  
Model Predictions ◽  
Low Energies ◽  
Lepton Flavour

AbstractThe confirmation of the discrepancy with the Standard Model predictions in the anomalous magnetic moment by the Muon g-2 experiment at Fermilab points to a low scale of new physics. Flavour symmetries broken at low energies can account for this discrepancy but these models are much more restricted, as they would also generate off-diagonal entries in the dipole moment matrix. Therefore, if we assume that the observed discrepancy in the muon $$g-2$$ g - 2 is explained by the contributions of a low-energy flavor symmetry, lepton flavour violating processes can constrain the structure of the lepton mass matrices and therefore the flavour symmetries themselves predicting these structures. We apply these ideas to several discrete flavour symmetries popular in the leptonic sector, such as $$\Delta (27)$$ Δ ( 27 ) , $$A_4$$ A 4 , and $$A_5 < imes \mathrm{CP}$$ A 5 ⋉ CP .

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 NEUTRINO MASSES, COSMOLOGICAL BOUND AND FOUR ZERO YUKAWA TEXTURES

2011 ◽  
Vol 26 (32) ◽  
pp. 2427-2435 ◽  
Author(s):  
BISWAJIT ADHIKARY ◽  
AMBAR GHOSAL ◽  
PROBIR ROY
Keyword(s):  
Cp Violation ◽  
Light Neutrino ◽  
Neutrino Masses ◽  
Type I ◽  
High Scale ◽  
Parameter Region ◽  
Weak Basis ◽  
Majorana Mass ◽  
Mass Matrices ◽  
Normal Mass

Four zero neutrino Yukawa textures in a specified weak basis, combined with μτ symmetry and type-I seesaw, yield a highly constrained and predictive scheme. Two alternately viable 3×3 light neutrino Majorana mass matrices mνA/mνB result with inverted/normal mass ordering. Neutrino masses, Majorana in character and predicted within definite ranges with laboratory and cosmological inputs, will have their sum probed cosmologically. The rate for 0νββ decay, though generally below the reach of planned experiments, could approach it in some parameter region. Departure from μτ symmetry due to RG evolution from a high scale and consequent CP violation, with a Jarlskog invariant whose magnitude could almost reach 6×10-3, are explored.

scholarly journals LEPTON MIXING AND THE NEUTRINO MIXING ANGLE θ13

2012 ◽  
Vol 27 (14) ◽  
pp. 1250079 ◽  
Author(s):  
HARALD FRITZSCH
Keyword(s):  
Radiative Correction ◽  
Neutrino Oscillations ◽  
Daya Bay ◽  
Neutrino Mixing ◽  
Mixing Angle ◽  
Zero Mass ◽  
Mass Matrices ◽  
Texture Zero

We discuss the neutrino oscillations, using texture zero mass matrices for the leptons, including radiative correction. The neutrino mixing angle θ13 is calculated and agrees with the result of the new Daya Bay experiment.

Texture zero mass matrices and nature of neutrinos

2018 ◽  
Vol 33 (31) ◽  
pp. 1844032
Author(s):  
Gulsheen Ahuja ◽  
Manmohan Gupta
Keyword(s):  
Comparative Study ◽  
Neutrino Mass ◽  
Parameter Space ◽  
Neutrino Masses ◽  
Normal Hierarchy ◽  
Mixing Angles ◽  
Zero Mass ◽  
Mass Matrices ◽  
Texture Zero

For Majorana as well as Dirac neutrinos, attempt has been made to carry out a comparative study of the predictions of Fritzsch-like texture 6, 5 and 4 zero leptonic mass matrices. In particular, considering normal hierarchy of neutrino masses, we have examined how the parameter space available to the mixing angles with respect to the lightest neutrino mass changes for the two types of neutrinos.

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