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I propose a model of radiative charged-lepton and neutrino masses with $A_4$ symmetry. The soft breaking of $A_4$ to $Z_3$ lepton triality is accomplished by dimension-three terms. The breaking of $Z_3$ by dimension-two terms allow…

High Energy Physics - Phenomenology · Physics 2016-03-23 Ernest Ma

It has been shown that tribimaximal mixing can be obtained by some particular breaking pattern of the $A_4$ symmetry, wherein the extra $A_4$ triplet Higgs scalars pick up certain fixed vacuum expectation value (VEV) alignments. We have…

High Energy Physics - Phenomenology · Physics 2014-11-18 Biswajoy Brahmachari , Sandhya Choubey , Manimala Mitra

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…

High Energy Physics - Phenomenology · Physics 2016-01-27 M. Abbas , S. Khalil , A. Rashed , A. Sil

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

In the original 2004 paper which first derived tribimaximal mixing in the context of A(4), i.e. the non-Abelian finite symmetry group of the tetrahedron (Plato's fire), as its simplest application, it was also pointed out how theta(13)…

High Energy Physics - Phenomenology · Physics 2011-12-26 Ernest Ma , Daniel Wegman

The nonzero and relatively large $\theta_{13}$ have been reported by Daya Bay, T2K, MINOS, and Double Chooz Collaborations. In order to accommodate the nonzero $\theta_{13}$, we modified the tribimaximal (TB), bimaxima (BM), and democratic…

High Energy Physics - Phenomenology · Physics 2012-07-02 Asan Damanik

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 discuss a minimal lepton flavour model with two modular $A_4$ symmetries, one acting on neutrinos and the other acting on charged leptons. Two corresponding moduli fields are restricted at stabilisers. To avoid vanishing or degenerate…

High Energy Physics - Phenomenology · Physics 2024-03-07 Han Zhang , Ye-Ling Zhou

Recent measurements of the neutrino mixing angles cast doubt on the validity of the so-far popular tri-bimaximal mixing ansatz. We propose a parametrization for the neutrino mixing matrix where the reactor angle seeds the large solar and…

High Energy Physics - Phenomenology · Physics 2013-05-30 S. M. Boucenna , S. Morisi , M. Tortola , J. W. F. Valle

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…

High Energy Physics - Phenomenology · Physics 2007-05-23 K. S. Babu , Xiao-Gang He

The trimaximal mixing scheme is one of the widely studied neutrino mixing schemes. However, the predicted solar neutrino mixing angle $\theta_{12}$ and the reactor neutrino mixing angle $\theta_{13}$ cannot simultaneously realize their…

High Energy Physics - Phenomenology · Physics 2023-11-27 Yulin Chen , Yuta Hyodo , Teruyuki Kitabayashi

The JUNO collaboration has released its first measurement of reactor neutrino oscillations results, obtaining $\sin^2\theta_{12} = 0.3092\pm 0.0087$, an improvement in precision by a factor of 1.6 over previous combined results. We confront…

High Energy Physics - Phenomenology · Physics 2025-11-25 Xiao-Gang He

We discuss a particularly symmetric model of neutrino mixings where, with good accuracy, the atmospheric mixing angle theta_{23} is maximal, theta_{13}=0 and the solar angle satisfies sin^2(theta_{12})=1/3 (Harrison-Perkins-Scott (HPS)…

High Energy Physics - Phenomenology · Physics 2010-04-05 Guido Altarelli , Ferruccio Feruglio

A simple relation U_{MNS}=V_{CKM}^\dagger U_{TB} between the lepton and quark mixing matrices (U_{MNS} and V_{CKM}) is speculated under an ansatz that U_{MNS} becomes an exact tribimaximal mixing U_{TB} in a limit V_{CKM}={\bf 1}. By using…

High Energy Physics - Phenomenology · Physics 2008-12-18 Yoshio Koide , Hiroyuki Nishiura

To accommodate the recently observed non-zero reactor mixing angle $\theta_{13}$, we consider the lepton mixing matrix as Tri-bimaximal mixing (TBM) form in the leading order along with a perturbation in neutrino sector. The perturbation is…

High Energy Physics - Phenomenology · Physics 2016-11-22 M. Sruthilaya , Srinu Gollu

The approximated tri-bimaximal mixing observed in the neutrino oscillations is a particular feature of a class of models characterized by the spontaneously broken horizontal flavour symmetry A4. In this paper, it is presented an analysis on…

High Energy Physics - Phenomenology · Physics 2009-05-15 Luca Merlo

In an improved application of the tetrahedral symmetry A_4 first introduced by Ma and Rajasekaran, supplemented by the discrete symmetry Z_3 as well as supersymmetry, a two-parameter form of the neutrino mass matrix is derived which…

High Energy Physics - Phenomenology · Physics 2008-11-26 Ernest Ma

We propose a new mixing pattern for neutrinos with a nonzero mixing angle $\theta_{13}$. Under a simple form, it agrees well with current neutrino oscillation data and displays a number of intriguing features including the $\mu$-$\tau$…

High Energy Physics - Phenomenology · Physics 2013-08-27 Huilin Qu , Bo-Qiang Ma

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…

High Energy Physics - Phenomenology · Physics 2018-09-19 Peng Chen , Salvador Centelles Chuliá , Gui-Jun Ding , Rahul Srivastava , José W. F. Valle

The A4 x U(1) flavor model of He, Keum, and Volkas is extended to provide a minimal modification to tribimaximal mixing that accommodates a nonzero reactor angle theta13 ~ 0.1. The sequestering problem is circumvented by forbidding…

High Energy Physics - Phenomenology · Physics 2013-01-15 Yoni BenTov , Xiao-Gang He , A. Zee