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We find a realization of the $Z_2$-symmetry in the neutrino mass matrix which expresses a rotation of the $\mu-\tau$ symmetry and is able to impose a generic smallest mixing angle, in contrast to a zero-value predicted by the usual…

High Energy Physics - Phenomenology · Physics 2017-07-12 E. I. Lashin , N. Chamoun , C. Hamzaoui , S. Nasri

Inspired by the neutrino oscillations data, we consider the exact $\mu-\tau$ symmetry, implemented at the level of the neutrino mass matrix, as a good initial framework around which to study and describe neutrino phenomenology. Working in…

High Energy Physics - Phenomenology · Physics 2021-07-14 N. Chamoun , C. Hamzaoui , S. Lashin , S. Nasri , M. Toharia

In the first part of the present work the $\mu-\tau $ symmetry of the neutrino mass matrix is perturbed at its minimal level in order to produce deviation from Tri-bimaximal mixing (TBM), which includes nonzero value of reactor angle…

High Energy Physics - Phenomenology · Physics 2012-07-02 Subhankar Roy , N. Nimai Singh

We analyze the leptonic sector in the left-right symmetric model dressed with a $(Z_{2})^{3}$ discrete symmetry which realizes, after weak spontaneous breaking, a small broken $\mu\lra\tau$ symmetry that is suggested to explain observable…

High Energy Physics - Phenomenology · Physics 2014-11-20 Juan Carlos Gómez-Izquierdo , Abdel Pérez-Lorenzana

The $\mu \leftrightarrow \tau$ symmetry has been ruled out by its predictions on the reactor and atmospheric angles, nevertheless, a breaking of this symmetry might provide correct values. For that reason, we build a non-renormalizable…

Motivated by the latest neutrino oscillation data which is consistent with maximal atmospheric mixing and maximal leptonic CP violation, we review various results in $\mu\tau$ symmetry, then include several new observations and…

High Energy Physics - Phenomenology · Physics 2018-09-12 Stephen F. King , Celso C. Nishi

We propose that leptonic CP violation arises from a breaking of the mu-tau exchange symmetry in the neutrino mass matrix which in turn is indicated by the near maximal atmospheric neutrino mixing and the near zero \theta_{13}. We find that…

High Energy Physics - Phenomenology · Physics 2008-11-26 R. N. Mohapatra , W. Rodejohann

As neutrino experiments are starting to probe the detailed structure of the neutrino mass matrix, we present sumrules relating its matrix elements for a class of models with approximate $L_e-L_{\mu}-L_{\tau}$ symmetry and the observables in…

High Energy Physics - Phenomenology · Physics 2015-06-25 H. S. Goh , R. N. Mohapatra , S. -P. Ng

Viability of the \mu-\tau interchange symmetry imposed as an approximate symmetry (1) on the neutrino mass matrix {\cal M}_{\nu f} in the flavour basis (2) simultaneously on the charged lepton mass matrix M_l and the neutrino mass matrix…

High Energy Physics - Phenomenology · Physics 2013-09-13 Shivani Gupta , Anjan S. Joshipura , Ketan M. Patel

Possible maximal mixing seen in the oscillations of the atmospheric neutrinos has led to postulate of a $\mu$-$\tau$ symmetry which interchanges $\nu_\mu$ and $\nu_\tau$. We argue that such symmetry need not be special to neutrinos but can…

High Energy Physics - Phenomenology · Physics 2008-11-26 Anjan S. Joshipura

We focus on the use of a mu-tau interchange symmetry to explain features of lepton mixing, especially maximal atmospheric neutrino mixing. We review two models which achieve this goal and are based on the seesaw mechanism and on the soft…

High Energy Physics - Phenomenology · Physics 2015-06-05 W. Grimus , L. Lavoura

In the simplest version of a $\mathbf{Q}_{6}$ flavored supersymmetric model, we analyze the leptonic masses and mixings in the framework of a soft breaking of the $\mu \leftrightarrow \tau$ symmetry. This breaking is controlled by the…

High Energy Physics - Phenomenology · Physics 2017-10-18 Juan Carlos Gómez-Izquierdo , F. Gonzalez-Canales , M. Mondragón

I attempt to quantify how far from maximal one should expect the atmospheric mixing angle to be given a neutrino mass-matrix that leads, at zeroth order, to a nu_3 mass-eigenstate that is 0% nu_e, 50% nu_mu, and 50% nu_tau. This is done by…

High Energy Physics - Phenomenology · Physics 2009-11-10 Andre de Gouvea

Neutrino oscillations data indicates that neutrino mixings are consistent with an apparent $\nu_\mu - \nu_\tau$ exchange symmetry in neutrino mass matrix. We observe that in the mininimally extended standard model with the see-saw…

High Energy Physics - Phenomenology · Physics 2008-11-26 Juan Carlos Gómez-Izquierdo , Abdel Pérez-Lorenzana

We discuss a class of models of neutrino masses and mixings with inverse hierarchy based on a broken U(1)_F flavour symmetry with charge L_e-L_\mu-L_\tau for lepton doublets and arbitrary right-handed charges. The symmetry breaking sector…

High Energy Physics - Phenomenology · Physics 2010-02-03 Guido Altarelli , Roberto Franceschini

We make a theoretical attempt to compare the predictions from normal and inverted hierarchical models, within the framework of $\mu-\tau$ symmetry. We consider three major theoretical issues in a self consistent ways, viz., predictions on…

High Energy Physics - Phenomenology · Physics 2008-07-15 N. Nimai Singh , H. Zeen Devi , Mahadev Patgiri

We study the consequences of the $Z_2$-symmetry behind the $\mu$--$\tau$ universality in neutrino mass matrix. We then implement this symmetry in the type-I seesaw mechanism and show how it can accommodate all sorts of lepton mass…

High Energy Physics - Phenomenology · Physics 2015-07-01 E. I. Lashin , N. Chamoun , C. Hamzaoui , S. Nasri

The generalized $\mu$-$\tau$ interchange symmetry in the leptonic mixing matrix $U$ corresponds to the relations: $|U_{\mu i}|=|U_{\tau i}|$ with $i=1,2,3$. It predicts maximal atmospheric mixing and maximal Dirac CP violation given…

High Energy Physics - Phenomenology · Physics 2015-08-10 Anjan S. Joshipura , Ketan M. Patel

We diagonalize Majorana neutrino mass matrix with the help of PMNS matrix and obtain analytical relations between the mass matrix elements and mixing parameters, viz., three mixing angles- $\theta_{12}, \theta_{23}, \theta_{13}$ and Dirac…

High Energy Physics - Phenomenology · Physics 2019-05-21 Chandan Duarah

A parametrisation of the degenerate neutrino mass matrix obeying $\mu -\tau$ symmetry, is introduced for detailed numerical analysis. As a continuation of our earlier work on normal and inverted hierarchical models, the present…

High Energy Physics - Phenomenology · Physics 2009-11-10 N. Nimai Singh , H. Zeen Devi , Abhijit Borah , S. Somorendro Singh
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