scholarly journals Weak basis transformations and texture zeros in the leptonic sector

2009 ◽  
Vol 670 (4-5) ◽  
pp. 340-349 ◽  
Author(s):  
G.C. Branco ◽  
D. Emmanuel-Costa ◽  
R. González Felipe ◽  
H. Serôdio
Keyword(s):  
Weak Basis ◽  
Leptonic 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.

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.

Majorana neutrinos and CP violation in the leptonic sector

1986 ◽  
Vol 180 (3) ◽  
pp. 264-268 ◽  
Author(s):  
G.C. Branco ◽  
L. Lavoura ◽  
M.N. Rebelo
Keyword(s):  
Cp Violation ◽  
Leptonic Sector ◽  
Majorana Neutrinos

scholarly journals Some consequences in weak processes of three-generation mixing in the leptonic sector

1994 ◽  
Vol 50 (1) ◽  
pp. 513-522 ◽  
Author(s):  
O. L. G. Peres ◽  
V. Pleitez ◽  
R. Zukanovich Funchal
Keyword(s):  
Leptonic Sector

The Weak Basis Theorem Fails in Non-Locally Convex F-Spaces

1977 ◽  
Vol 29 (5) ◽  
pp. 1069-1071 ◽  
Author(s):  
L. Drewnowski
Keyword(s):  
Weak Basis ◽  
Basis Theorem ◽  
Locally Convex

W. J. Stiles showed in [10, Corollary 4.5] that Banach's weak basis theorem fails in the spaces lp, 0 < p < 1. Then, J. H. Shapiro [9] indicated certain general classes of non-locally convex F-spaces with the same property, and asked whether the weak basis theorem fails in every non-locally convex F-space with a weak basis. Our purpose is to answer this question in the affirmative. In [3] we observed that, essentially, the only case that remained open is that of an F-space with irregular basis (en), i.e. such that snen →0 for any scalar sequence (sn).

scholarly journals A minimal Beta Beam with high-Q ions to address CP violation in the leptonic sector

2011 ◽  
Vol 71 (6) ◽  
Author(s):  
P. Coloma ◽  
A. Donini ◽  
P. Migliozzi ◽  
L. Scotto Lavina ◽  
F. Terranova
Keyword(s):  
Cp Violation ◽  
High Q ◽  
Leptonic Sector ◽  
Beta Beam

Mackey duals and almost shrinking bases

1973 ◽  
Vol 74 (1) ◽  
pp. 73-81 ◽  
Author(s):  
N. J. Kalton
Keyword(s):  
Banach Space ◽  
Weak Topology ◽  
Norm Topology ◽  
Weak Basis ◽  
Mackey Topology ◽  
Dual Sequence

Suppose (en) is a basis of a Banach space E, and that (e′n) is the dual sequence in E′. Then if (e′n) is a basis of E′ in the norm topology (i.e. (en) is shrinking) it follows that E′ is norm separable: it is easy to give examples of spaces E for which this is not so. Therefore there are plenty of spaces which cannot have a shrinking basis. This leads one to consider whether it might not be reasonable to replace the norm topology on E′ by one which is always separable (provided E is separable). Of course, the weak*-topology σ(E′, E) is one possibility (Köthe (17), p. 259); then it is trivial that (e′n) is a weak*-basis of E′. However, if the weak*-topology is separable, then so is the Mackey topology τ(E′, E) on E′, and so we may ask whether (e′n) is a basis of (E′,τ(E′, E)).

scholarly journals Determination of mass hierarchy with νμ → ντ appearance and the effect of nonstandard interactions

2017 ◽  
Vol 32 (11) ◽  
pp. 1750060 ◽  
Author(s):  
Ahmed Rashed ◽  
Alakabha Datta
Keyword(s):  
Asymmetry Parameter ◽  
Transition Probabilities ◽  
New Physics ◽  
Mass Hierarchy ◽  
Normal Hierarchy ◽  
Inverted Hierarchy ◽  
Leptonic Sector ◽  
The Asymmetry ◽  
The Difference

Crucial developments in neutrino physics would be the determination of the mass hierarchy (MH) and measurement of the CP phase in the leptonic sector. The patterns of the transition probabilities [Formula: see text] and [Formula: see text] are sensitive to these oscillation parameters. An asymmetry parameter can be defined as the difference of these two probabilities normalized to their sum. The profile of the asymmetry parameter gives a clear signal of the mass ordering as it is found to be positive for inverted hierarchy and negative for normal hierarchy. The asymmetry parameter is also sensitive to the CP phase. We consider the effects of nonstandard neutrino interactions (NSI) on the determination of the mass hierarchy. Since we assume the largest new physics effects involve the [Formula: see text] sector only, we ignore NSI in production and study the NSI effects in detection as well as along propagation. We find that the NSI effects can significantly modify the prediction of the asymmetry parameter though the MH can still be resolved.

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