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We further study the "complementary" Ansatz, Tr$(M_\nu)$=0, for a prediagonal light Majorana type neutrino mass matrix. Previously, this was studied for the CP conserving case and the case where the two Majorana type CP violating phases…

High Energy Physics - Phenomenology · Physics 2009-11-10 Samina S. Masood , Salah Nasri , Joseph Schechter

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

We propose a neutrino model based on a $\Delta(54)$ flavor symmetry suitable for explaining the current neutrino oscillation data. Neutrino masses arise from the type II seesaw mechanism where the $\Delta(54)$ field assignments has led to a…

High Energy Physics - Phenomenology · Physics 2024-10-21 M. A. Loualidi

An attempt is made to explore the possibility for deviations of solar mixing angle ($\theta_{12}$) from tri-bimaximal mixings, without sacrificing the predictions of maximal atmospheric mixing angle ($\theta_{23}=\pi/4$) and zero reactor…

High Energy Physics - Phenomenology · Physics 2008-11-26 N. Nimai Singh , Monisa Rajkhowa , Abhijit Borah

We study the non-Hermitian extension of the Lagrangian of the Standard Model extended by singlet right-handed heavy neutrinos. The Yukawa coupling matrices comprise of hermitian and non-hermitian components and the neutrino mass eigenvalues…

High Energy Physics - Phenomenology · Physics 2023-02-07 Sasmita Mishra

The determination of CP violating phases in the Majorana neutrino mixing matrix using phenomenological constraints from neutrino oscillations, neutrinoless double beta decay, ($\mu^-, e^+$) conversion and few other processes is discussed.…

High Energy Physics - Phenomenology · Physics 2007-05-23 M. K. Samal

Assuming the Majorana nature of massive neutrinos, we generalize the Friedberg-Lee neutrino mass model to include CP violation in the neutrino mass matrix $M^{}_\nu$. We show that a favorable neutrino mixing pattern (with $\theta^{}_{12}…

High Energy Physics - Phenomenology · Physics 2014-11-18 Zhi-zhong Xing , He Zhang , Shun Zhou

From the new existing data with not vanishing theta13 mixing angle we determine the possible shape of the Majorana neutrino mass matrix. We assume that CP symmetry is broken and all Dirac and Majorana phases are taken into account. Two…

High Energy Physics - Phenomenology · Physics 2012-04-18 Bartosz Dziewit , Sebastian Zajac , Marek Zralek

We argue that the tri-bimaximal neutrino mixing pattern $V_0$ or its generalized form $V'_0$, which includes two arbitrary Majorana phases of CP violation, may result from an underlying flavor symmetry at a superhigh energy scale close to…

High Energy Physics - Phenomenology · Physics 2009-11-11 Shu Luo , Zhi-zhong Xing

Assuming mixing of three massive Majorana neutrinos, we study the implications of the neutrino oscillation solutions of the solar and atmospheric neutrino problems and of the results of the CHOOZ experiment for the predictions of the…

High Energy Physics - Phenomenology · Physics 2014-11-17 S. M. Bilenky , S. Pascoli , S. T. Petcov

We present the generic formulas to calculate the ratios of neutrino masses and the Majorana phases of CP violation from the neutrino mass matrix with two independent vanishing entries in the flavor basis where the charged lepton mass matrix…

High Energy Physics - Phenomenology · Physics 2009-11-07 Zhi-zhong Xing

The Tri-Bi-Maximal pattern has been long investigated as the symmetric scenario that lies behind the neutrino mixing matrix. It predicts a null reactor angle and hence forbids $CP$ violation in the lepton sector, which is in contrast to the…

High Energy Physics - Phenomenology · Physics 2021-03-17 Diana C. Rivera-Agudelo , S. L. Tostado

Assuming Majorana nature of neutrinos, we re-investigate, in the light of the recent measurement of the reactor mixing angle, the allowed ranges for the absolute values of the elements of the neutrino mass matrix in the basis where the…

High Energy Physics - Phenomenology · Physics 2015-06-11 Walter Grimus , Patrick Otto Ludl

Taking into account the latest neutrino oscillation data, we study texture zeros of the lepton mass matrices. Assuming the Dirac neutrino mass matrix M_D, the charged-lepton mass matrix M_l and the mass matrix of heavy right-handed Majorana…

High Energy Physics - Phenomenology · Physics 2013-02-01 Harald Fritzsch , Shun Zhou

We determine the possible values of the effective Majorana neutrino mass $|< m > |= |\sum_j U_{ej}^2 m_j|$ in the different phenomenologically viable three and four-neutrino scenarios. The quantities $U_{\alpha j}$ ($\alpha =…

High Energy Physics - Phenomenology · Physics 2008-11-26 S. M. Bilenky , C. Giunti , W. Grimus , B. Kayser , S. T. Petcov

Three CP-violating phases of the $3\times 3$ lepton flavor mixing matrix $V$, denoted as $\delta$, $\rho$ and $\sigma$ in a useful phase convention, are entangled with one another in the one-loop renormalization-group equations. We show…

High Energy Physics - Phenomenology · Physics 2009-04-25 Zhi-zhong Xing

A special form of the $3 \times 3$ Majorana neutrino mass matrix derivable from $\mu - \tau$ interchange symmetry accompanied by a generalized $CP$ transformation was obtained many years ago. It predicts $\theta_{23} = \pi/4$ as well as…

High Energy Physics - Phenomenology · Physics 2015-05-18 Ernest Ma , Alexander Natale , Oleg Popov

We study all possible texture zeros in the Majorana neutrino mass matrix which are allowed from neutrino oscillation as well as cosmology data when the charged lepton mass matrix is assumed to take the diagonal form. In case of one-zero…

High Energy Physics - Phenomenology · Physics 2015-06-17 Manikanta Borah , Debasish Borah , Mrinal Kumar Das

We reconstruct the neutrino mass matrix in the flavor basis, using all available experimental data on neutrino oscillations. Majorana nature of neutrinos, normal mass hierarchy (ordering) and validity of the LMA MSW solution of the solar…

High Energy Physics - Phenomenology · Physics 2010-04-05 Michele Frigerio , Alexei Yu. Smirnov

Recently, Majorana's spirit returns to modern condensed matter physics -- in the context of topological Majorana zero mode that represents a local half degree of freedom carrying non-Abelian statistics.In this paper, we investigate the…

High Energy Physics - Phenomenology · Physics 2014-04-08 Zheng-Cheng Gu