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We present a concise review of the recent important experimental developments on neutrino mixing (hints for sterile neutrinos, large $\theta_{13}$, possible non maximal $\theta_{23}$, approaching sensitivity on $\delta_{CP}$) and their…

High Energy Physics - Phenomenology · Physics 2022-03-02 Guido Altarelli

We have performed a comprehensive analysis of the type D group $D^{(1)}_{9n, 3n}$ as flavor symmetry and the generalized CP symmetry. All possible residual symmetries and their consequences for the prediction of the mixing parameters are…

High Energy Physics - Phenomenology · Physics 2016-05-25 Cai-Chang Li , Chang-Yuan Yao , Gui-Jun Ding

Hermitian squared mass matrices of charged leptons and light neutrinos in the flavor basis are studied under general additive lowest order perturbations away from the tribimaximal (TBM) limit in which a weak basis with mass diagonal charged…

High Energy Physics - Phenomenology · Physics 2015-11-25 Biswajoy Brahmachari , Probir Roy

We study the lepton flavor models with the flavor symmetry (Z_N \times Z_N \times Z_N)\rtimes Z_3. Our models predict non-vanishing discrete values of \theta_{13} as well as \theta_{12} and \theta_{23} depending on N. For certain values,…

High Energy Physics - Phenomenology · Physics 2015-06-03 Hajime Ishimori , Tatsuo Kobayashi

We point out that the observed pattern of lepton flavor mixing can be well described by a proper nearest-neighbor expansion of a constant $3\times 3$ unitary matrix in powers of a small parameter characterizing the fine effect of…

High Energy Physics - Phenomenology · Physics 2024-07-30 Jihong Huang

Many experiments are being planned to measure the neutrino mixing parameter $\theta_{13}$ using reactor as well as accelerator neutrino beams. In this note, the theoretical significance of a high precision measurement of this parameter is…

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

We show that not only the hierarchical quark CKM mixing matrix but also the "bimaximal" lepton flavor mixing matrix can be derived from the same mass matrix ansatz based on the broken permutation symmetry, by assuming the hierarchy of…

High Energy Physics - Phenomenology · Physics 2016-09-06 C. S. Kim , J. D. Kim

We have performed a systematical analysis of lepton and quark masses models based on $\Gamma_4\cong S_4$ modular symmetry with gCP symmetry. We have considered both cases that neutrinos are Majorana particles and Dirac particles. All…

High Energy Physics - Phenomenology · Physics 2021-10-13 Bu-Yao Qu , Xiang-Gan Liu , Ping-Tao Chen , Gui-Jun Ding

We construct two flavor models based on $S_4$ family symmetry and generalised CP symmetry. In both models, the $S_4$ family symmetry is broken down to the $Z^{SU}_2$ subgroup in the neutrino sector, as a consequence, the trimaximal…

High Energy Physics - Phenomenology · Physics 2014-02-19 Cai-Chang Li , Gui-Jun Ding

The renormalization effect on a specific ansatz of lepton mass matrices, arising naturally from the breaking of flavor democracy for charged leptons and that of mass degeneracy for light neutrinos, is studied from a superhigh energy scale…

High Energy Physics - Phenomenology · Physics 2009-10-31 Zhi-zhong Xing

The simple correlation among three lepton flavor mixing angles $(\theta^{}_{12}, \theta^{}_{13}, \theta^{}_{23})$ and the leptonic Dirac CP-violating phase $\delta$ is conventionally called a sum rule of lepton flavor mixing, which may be…

High Energy Physics - Phenomenology · Physics 2016-08-09 Jue Zhang , Shun Zhou

Present situation in the flavour mixing of quarks and leptons is briefly reviewed and a new approach called the Minimal Flavour Mixing (MFM) is considered in detail. According to MFM the whole of the flavour mixing is basically determined…

High Energy Physics - Phenomenology · Physics 2017-08-23 J. L. Chkareuli

The gauge interactions of any supersymmetric extension of the standard model involve new flavor mixing matrices. The assumptions involved in the construction of minimal supersymmetric models, both $SU(3) \times SU(2) \times U(1)$ and grand…

High Energy Physics - Phenomenology · Physics 2009-10-28 Nima Arkani-Hamed , Hsin-Chia Cheng , L. J. Hall

In a predictive modular invariant theory of flavour there should exist correlations between the quark and lepton observables. So far these observables have been analyzed separately, making it impossible to investigate their…

High Energy Physics - Phenomenology · Physics 2024-12-10 Gui-Jun Ding , Eligio Lisi , Antonio Marrone , S. T. Petcov

We propose a non-minimal left-right symmetric model (LRSM) with Parity Symmetry where the fermion mixings arise as result of imposing an ${\bf S}_{3}\otimes {\bf Z}_{2}$ flavor symmetry, and an extra ${\bf Z}^{e}_{2}$ symmetry is considered…

High Energy Physics - Phenomenology · Physics 2017-09-13 Juan Carlos Gómez-Izquierdo

We construct a left-right symmetric (LRS) model in five dimensions which accounts naturally for the lepton flavor parameters. The fifth dimension is described by an orbifold, S_1/Z_2 times Z'_2, with a typical size of order TeV^{-1}. The…

High Energy Physics - Phenomenology · Physics 2009-11-07 Gilad Perez

We argue that there exists simple relation between the quark and lepton mixings which supports the idea of grand unification and probes the underlying robust bi-maximal fermion mixing structure of still unknown flavor physics. In this…

High Energy Physics - Phenomenology · Physics 2008-11-26 Martti Raidal

Behind the observed pattern of lepton flavor mixing is a partial or approximate mu-tau flavor symmetry --- a milestone on our road to the true origin of neutrino masses and flavor structures. In this review article we first describe the…

High Energy Physics - Phenomenology · Physics 2016-07-22 Zhi-zhong Xing , Zhen-hua Zhao

Status of the discrete symmetry approach to explanation of the lepton masses and mixing is summarized in view of recent experimental results, in particular, establishing relatively large 1-3 mixing. The lepton mixing can originate from…

High Energy Physics - Phenomenology · Physics 2013-05-22 Alexei Y. Smirnov

We present a concise review of the recent important experimental developments on neutrino mixing (hints for sterile neutrinos, large $\theta_{13}$, possible non maximal $\theta_{23}$, approaching sensitivity on $\delta_{CP}$) and their…

High Energy Physics - Phenomenology · Physics 2015-06-11 G. Altarelli
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