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The observed large mixing angles in the lepton sector may be the first signal for the presence of a non-Abelian family symmetry. However, to obtain the significant differences between the mixing of the neutrino and charged fermion sectors,…

High Energy Physics - Phenomenology · Physics 2010-04-05 Ivo de Medeiros Varzielas , Graham G. Ross

The tri-bimaximal mixing is a good approximation for the present data of neutrino mixing angles. The deviation from the tri-bimaximal mixing is discussed numerically in the framework of the A4 model. Values of \tan^2\theta_{12}, \sin^2…

High Energy Physics - Phenomenology · Physics 2008-11-26 Mizue Honda , Morimitsu Tanimoto

It has recently been shown how tri-bimaximal neutrino mixing can be achieved, using the see-saw mechanism with constrained sequential dominance, through the vacuum alignment of a broken non-Abelian gauged family symmetry such as SO(3) or…

High Energy Physics - Phenomenology · Physics 2010-04-06 I. de Medeiros Varzielas , S. F. King , G. G. Ross

We present a supersymmetric $T_{13}$ model for the tri-bimaximal neutrino mixing, and the complete flavor group is $T_{13}\times Z_{4}\times Z_2$. At leading order, the residual symmetry of the charged lepton sector is $Z_3$, and the…

High Energy Physics - Phenomenology · Physics 2011-08-25 Gui-Jun Ding

Current experimental data allow the zero value for one neutrino mass, either m_1 = 0 or m_3 = 0. This observation implies that a realistic neutrino mass texture can be established by starting from the limit (a) m_1 = m_2 = 0 and m_3 \neq 0…

High Energy Physics - Phenomenology · Physics 2008-11-26 Aik Hui Chan , Harald Fritzsch , Shu Luo , Zhi-zhong Xing

Recent T2K results indicate a sizeable reactor angle theta_13 which would rule out exact tri-bimaximal lepton mixing. We study the vacuum alignment of the Altarelli-Feruglio A4 family symmetry model including additional flavons in the 1'…

High Energy Physics - Phenomenology · Physics 2011-09-13 Stephen F. King , Christoph Luhn

The tri-bimaximal mixing matrix is most likely the leading order term in the description of leptonic mixing. We derive deviations from tri-bimaximal mixing(TBM) due to corrections from the charged lepton sector. We assume a decoupled 2-3…

High Energy Physics - Phenomenology · Physics 2008-09-17 Alakabha Datta

In the limit of an approximate $\mu-\tau$ symmetry in the neutrino mass matrix, we explore deviations to the Tri-Bi-Maximal mixing pattern in the neutrino sector. We consider two different ansatzes for the corrected pattern to predict the…

High Energy Physics - Phenomenology · Physics 2019-05-22 Diana C. Rivera-Agudelo , S. L. Tostado , Abdel Pérez-Lorenzana

Current neutrino data are consistent with the so-called tribimaximal mixing scenario, which predicts \sin^2 \theta_{12}=1/3, zero U_{e3} and maximal \theta_{23}. This implies a special form of the neutrino mass matrix. Introducing small…

High Energy Physics - Phenomenology · Physics 2014-11-18 F. Plentinger , W. Rodejohann

The Tri-bimaximal (TBM) mixing is not accidental if structures of the corresponding leptonic mass matrices follow immediately from certain (residual or broken) flavor symmetry. We develop a simple formalism which allows one to analyze…

High Energy Physics - Phenomenology · Physics 2014-11-20 Mohammed Abbas , A. Yu. Smirnov

We emphasize that the vanishing of the CP asymmetry in leptogenesis, previously observed for models with tri-bimaximal mixing and family symmetry, may be traced to a property of the type I see-saw mechanism satisfied by such models known as…

High Energy Physics - Phenomenology · Physics 2014-11-20 Sandhya Choubey , S. F. King , Manimala Mitra

We model tri-bimaximal lepton mixing from first principles in a way that avoids the problem of the vacuum alignment characteristic of such models. This is achieved by using a softly broken A4 symmetry realized with an isotriplet fermion,…

High Energy Physics - Phenomenology · Physics 2010-04-15 M. Hirsch , S. Morisi , J. W. F. Valle

In light of the observation of a relatively large $\theta_{13}$, the ever popular Tri-Bimaximal (TBM) neutrino mixing which predicts a vanishing $\theta_{13}$ needs modifications. In this paper, we shall discuss the possibility of modifying…

High Energy Physics - Phenomenology · Physics 2015-06-19 Zhen-hua Zhao

We study fermion mass matrices of the cascade form which are compatible with the tri-bimaximal lepton mixing and generation mass hierarchy. The flat-cascade lepton matrices imply a parameter-independent relation among the mixing angles and…

High Energy Physics - Phenomenology · Physics 2008-12-30 Naoyuki Haba , Ryo Takahashi , Morimitsu Tanimoto , Koichi Yoshioka

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

It is a common believe that, if the Tri-bimaximal mixing (TBM) pattern is explained by vacuum alignment in an A(4) model, only a very small reactor angle, say \theta_{13} \sim \lambda^2_C being \lambda_C \equiv \theta_C the Cabibbo angle,…

High Energy Physics - Phenomenology · Physics 2010-05-28 Yin Lin

Tri-bimaximal mixing is a specific lepton mixing ansatz, which has been shown to account very successfully for the established neutrino oscillation data. Working in a particular basis (the `circulant basis'), we identify three independent…

High Energy Physics - Phenomenology · Physics 2008-11-26 P. F. Harrison , W. G. Scott

In models with flavour symmetries added to the gauge group of the Standard Model the CP-violating asymmetry necessary for leptogenesis may be related with low-energy parameters. A particular case of interest is when the flavour symmetry…

High Energy Physics - Phenomenology · Physics 2009-12-04 D. Aristizabal Sierra , F. Bazzocchi , I. de Medeiros Varzielas , L. Merlo , S. Morisi

In this paper, we consider the imbedding of the popular and well-motivated trimaximal mixing and $\mu$-$\tau$ reflection symmetry (which can help us shape the forms of the neutrino mass matrix) in the minimal seesaw model (which contains…

High Energy Physics - Phenomenology · Physics 2021-11-30 Zhen-hua Zhao

The addition of an A_4 family symmetry and extended Higgs sector to the Standard Model can generate the tribimaximal mixing pattern for leptons, assuming the correct vacuum expectation value alignment of the Higgs scalars. Deviating this…

High Energy Physics - Phenomenology · Physics 2014-11-20 James Barry , Werner Rodejohann
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