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We consider a class of models of neutrino mixing with $S_4$ flavour symmetry and generalised CP symmetry, broken to $Z_2$ and $Z_2 \times {\rm CP}$ residual symmetries in the charged lepton and neutrino sectors, respectively. In this…

高能物理 - 唯象学 · 物理学 2018-03-30 J. T. Penedo , S. T. Petcov , A. V. Titov

We consider minimal modifications to tribimaximal (TBM) mixing matrix which accommodate non-zero mixing angle $\theta_{13}$ and CP violation. We derive four possible forms for the minimal modifications to TBM mixing in a model with $A_4$…

高能物理 - 唯象学 · 物理学 2015-04-16 Sin Kyu Kang , Morimitsu Tanimoto

We perform a comprehensive study of family symmetry models based on $A_4$ combined with the generalised CP symmetry $H_{\rm{CP}}$. We investigate the lepton mixing parameters which can be obtained from the original symmetry $A_4\rtimes…

高能物理 - 唯象学 · 物理学 2015-06-16 Gui-Jun Ding , Stephen F. King , Alexander J. Stuart

We consider a scenario with three Majorana neutrinos in which a discrete, finite flavour group G_f is combined with a generalized CP transformation. We derive conditions for consistently defining such a setup. We show that in general lepton…

高能物理 - 唯象学 · 物理学 2013-07-03 Ferruccio Feruglio , Claudia Hagedorn , Robert Ziegler

In a recently proposed renormalizable model of neutrino mixing using the non-Abelian discrete symmetry T_7 in the context of a supersymmetric extension of the Standard Model with gauged U(1)_{B-L}, a correlation was obtained between…

高能物理 - 唯象学 · 物理学 2013-05-30 Hajime Ishimori , Shaaban Khalil , Ernest Ma

Some properties of lepton mixing and neutrino masses can be computed under the assumption of A5 and CP as a symmetry in the leptonic sector. The results show that four mixing patterns accommodate well the oscillation data, i.e. all the…

高能物理 - 唯象学 · 物理学 2016-04-29 Andrea Di Iura

We perform a model-independent analysis of the possible residual Klein and generalized CP symmetries associated with arbitrary lepton mixing angles in the case that there are three light Majorana neutrino species. This approach emphasizes…

高能物理 - 唯象学 · 物理学 2015-06-23 Lisa L. Everett , Todd Garon , Alexander J. Stuart

Cobimaximal mixing predicts $\pi/4$ and $3\pi/2$ for the atmospheric angle and the Dirac CP-violating phase, respectively. These values are in tension with the neutrino globals fits. If this pattern was behind the lepton mixings, then it…

高能物理 - 唯象学 · 物理学 2024-07-04 Juan Carlos Gómez-Izquierdo , Asahel Enrique Pozas Ramírez

We study the implications of generalized CP transformations acting on the mass matrices of charged leptons in a model-independent way. Generalized $e-\mu$, $e-\tau$ and $\mu-\tau$ symmetries are considered in detail. In all cases the…

高能物理 - 唯象学 · 物理学 2018-08-15 Peng Chen , Salvador Centelles Chuliá , Gui-Jun Ding , Rahul Srivastava , José W. F. Valle

We suggest two alternative schemes to predict lepton mixing angles as well as $CP$ violating phases from a discrete flavor symmetry group combined with $CP$ symmetry. In the first scenario, the flavor and $CP$ symmetry is broken to the…

高能物理 - 唯象学 · 物理学 2017-01-25 Jun-Nan Lu , Gui-Jun Ding

The strategy of constraining the lepton flavor mixing from remnant CP symmetry is investigated in a rather general way. The neutrino mass matrix generally admits four remnant CP transformations which can be derived from the measured lepton…

高能物理 - 唯象学 · 物理学 2015-03-05 Peng Chen , Cai-Chang Li , Gui-Jun Ding

It is known that the imposition of a class of residual $Z_2\times Z_2$ symmetries on the neutrino mass matrix $M_\nu$ and a residual symmetry $Z_n$ ($n\geq 3$) on the Hermitian combination $M_lM_l^\dagger$ of the charged lepton mass matrix…

高能物理 - 唯象学 · 物理学 2018-01-10 Anjan S. Joshipura

We perform a systematic search for simple but viable lepton mixing patterns. Our main criterion is that the mixing matrix can be parameterized by three rotation angles, which are simple fractions of pi. These simple rotation angles possess…

高能物理 - 唯象学 · 物理学 2015-05-28 Werner Rodejohann , He Zhang , Shun Zhou

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…

高能物理 - 唯象学 · 物理学 2014-02-19 Cai-Chang Li , Gui-Jun Ding

We present minimalist constructions for lepton masses and mixing based on flavour symmetry under the modular group $\Gamma_N$ of lowest level $N=2$. As opposed to the only existing model of $\Gamma_2\cong S_3$ formulated in a SUSY…

高能物理 - 唯象学 · 物理学 2023-09-11 Davide Meloni , Matteo Parriciatu

We present a supersymmetric model with the flavour symmetry S4 x Z3 and a CP symmetry which are broken to a Z3 subgroup of the flavour symmetry in the charged lepton sector and to Z2 x CP (x Z3) in the neutrino one at leading order. This…

高能物理 - 唯象学 · 物理学 2014-02-18 Ferruccio Feruglio , Claudia Hagedorn , Robert Ziegler

Recent stringent experiment data of neutrino oscillations induces partial symmetries such as $Z_{2}$, $Z_{2}\times CP$ to derive lepton mixing patterns. New partial symmetries expressed with elements of group algebras are studied. A…

高能物理 - 唯象学 · 物理学 2020-02-04 Shu-Jun Rong

We present a systematic study of 400 combinations of the charged lepton and neutrino mass matrices with six vanishing entries or texture zeros. Only 24 of them, which can be classified into a few distinct categories, are found to be…

高能物理 - 唯象学 · 物理学 2011-09-13 Shun Zhou , Zhi-zhong Xing

The recent discovery of a non-zero value of the mixing angle theta_13 has ruled out tri-bimaximal mixing as the correct lepton mixing pattern generated by some discrete flavor symmetry (barring large next-to-leading order corrections in…

高能物理 - 唯象学 · 物理学 2013-04-03 Martin Holthausen , Kher Sham Lim , Manfred Lindner

Leptonic mixing patterns are usually extracted on the basis of groups or algebraic structures. In this paper, we introduce an alternative geometric method to study the correlations between the leptonic mixing parameters. At the 3$\sigma$…

高能物理 - 唯象学 · 物理学 2023-02-28 Ding-Hui Xu , Shu-Jun Rong