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The recent measurement of a non-zero neutrino mixing angle $\theta_{13}$ requires a modification of the tri-bimaximal mixing pattern that predicts a zero value for it. We propose a new neutrino mixing pattern based on a spontaneously-broken…

高能物理 - 唯象学 · 物理学 2013-05-30 Y. H. Ahn , Seungwon Baek , Paolo Gondolo

Current neutrino oscillation data from solar, atmospheric, and reactor experiments are consistent with the neutrino mixing matrix elements taking values sin^2\theta_{12} = 1/3, sin^2\theta_{23} = 1/2, and sin^2\theta_{13}=0. We present a…

高能物理 - 唯象学 · 物理学 2007-05-23 K. S. Babu , Xiao-Gang He

We propose a lepton model under modular $A_4$ and gauged $U(1)_R$ symmetries, in which the neutrino masses are induced at one-loop level. Thanks to the modular $A_4$ symmetry, we have several predictions on the lepton sector, especially, on…

高能物理 - 唯象学 · 物理学 2020-10-08 Keiko I. Nagao , Hiroshi Okada

We propose a scheme, based on \Delta(27) flavor symmetry and supplemented by other discrete symmetries and inverse seesaw mechanism, where both the light neutrino masses and the deviation from tri-bimaximal mixing matrix can be linked to…

高能物理 - 唯象学 · 物理学 2016-01-27 M. Abbas , S. Khalil , A. Rashed , A. Sil

We investigate models of charged lepton and neutrino masses and lepton mixing based on broken modular symmetry. The matter fields in these models are assumed to transform in irreducible representations of the finite modular group $\Gamma_4…

高能物理 - 唯象学 · 物理学 2019-05-01 P. P. Novichkov , J. T. Penedo , S. T. Petcov , A. V. Titov

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…

高能物理 - 唯象学 · 物理学 2014-11-20 Mohammed Abbas , A. Yu. Smirnov

The $\mu$-$\tau$ reflection symmetry $(\nu_{e},\thinspace\nu_{\mu},\thinspace\nu_{\tau})\rightarrow(\overline{\nu}_{e},\thinspace\overline{\nu}_{\tau},\thinspace\overline{\nu}_{\mu})$ and the TM1 mixing (a PMNS matrix with the first column…

高能物理 - 唯象学 · 物理学 2017-10-04 Werner Rodejohann , Xun-Jie Xu

We consider the modular symmetry associated with the compactification of extra dimensions as the flavor symmetry on lepton sector. Especially, we propose a model based on the modular $A_4$ symmetry with three right-handed neutrinos and a…

高能物理 - 唯象学 · 物理学 2021-04-01 Takehiko Asaka , Yongtae Heo , Takahiro Yoshida

Using a recent global analysis result after the precise measurement of $\theta_ {13}$, a possible Herimtian neutrino mixing ansatz is discussed, the mixing matrix is symmetric and also symmetric with respect with the second diagonal line in…

高能物理 - 唯象学 · 物理学 2013-01-21 Wu-zhong Guo , Miao Li

It is well known that the tri-bimaximal neutrino mixing pattern V_0 can be derived from a class of flavor models with the non-Abelian A_4 symmetry. We point out that small corrections to V_0, which are inherent in the A_4 models and arise…

高能物理 - 唯象学 · 物理学 2011-01-27 Takeshi Araki , Jianwei Mei , Zhi-zhong Xing

We present the general form of the unitary matrices keeping invariant the Majorana neutrino mass matrix of specific texture suitable for explaining oscillation data. In the case of the Tri-bimaximal pattern with two degenerate masses we…

高能物理 - 唯象学 · 物理学 2011-02-01 E. I. Lashin , S. Nasri , E. Malkawi , N. Chamoun

We recently proposed a spontaneous A$_{4}$ flavor symmetry breaking scheme implemented in a warped extra dimensional setup to explain the observed pattern of quark and lepton masses and mixings. The main features of this choice are the…

高能物理 - 唯象学 · 物理学 2013-07-05 Avihay Kadosh

The cubic symmetry S_4 contains A_4 and S_3, both of which have been used to study neutrino mass matrices. Using S_4 as the family symmetry of a complete supersymmetric theory of leptons, it is shown how the requirement of breaking S_4 at…

高能物理 - 唯象学 · 物理学 2009-11-11 Ernest Ma

We propose a flavour theory of leptons implementing an $A_4$ family symmetry. Our scheme provides a simple way to derive trimaximal neutrino mixing from first principles, leading to simple and testable predictions for neutrino mixing and CP…

高能物理 - 唯象学 · 物理学 2021-02-17 Gui-Jun Ding , Jun-Nan Lu , Jose W. F. Valle

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 propose a generalized version of the Tri-Bi-Maximal (TBM) ansatz for lepton mixing, leading to non-zero reactor angle $\theta_{13}$ and CP violation. The latter is characterized by two CP phases. The Dirac phase affecting neutrino…

高能物理 - 唯象学 · 物理学 2018-09-19 Peng Chen , Salvador Centelles Chuliá , Gui-Jun Ding , Rahul Srivastava , José W. F. Valle

Following the newly formulated notion of form invariance of the neutrino mass matrix, a complete model of leptons is constructed. It is based on a specific unitary 3 X 3 matrix U in family space, such that U^2 is the simple discrete…

高能物理 - 唯象学 · 物理学 2009-11-10 Ernest Ma , G. Rajasekaran

We propose a Randall-Sundrum model with a bulk family symmetry based on the double tetrahedral group, T', which generates the tri-bimaximal neutrino mixing pattern and a realistic CKM matrix, including CP violation. Unlike 4D models where…

高能物理 - 唯象学 · 物理学 2014-11-20 Mu-Chun Chen , K. T. Mahanthappa , Felix Yu

Models of neutrino mass which attempt to describe the observed lepton mixing pattern are typically based on discrete family symmetries with a non-Abelian and one or more Abelian factors. The latter so-called shaping symmetries are imposed…

高能物理 - 唯象学 · 物理学 2015-01-26 Christoph Luhn , Krishna Mohan Parattu , Akın Wingerter

We propose a particularly economical neutrino mass model, in which there are only two right-handed Majorana neutrinos of ${\cal O}(1)$ TeV and their masses are highly degenerate. Its novel Yukawa-coupling texture together with the seesaw…

高能物理 - 唯象学 · 物理学 2008-11-26 Zhi-zhong Xing , Shun Zhou