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We present a see-saw $A_4$ model for Tri-Bimaximal mixing which is based on a very economical flavour symmetry and field content and still possesses all the good features of $A_4$ models. In particular the charged lepton mass hierarchies…

高能物理 - 唯象学 · 物理学 2009-08-20 Guido Altarelli , Davide Meloni

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,…

高能物理 - 唯象学 · 物理学 2010-04-15 M. Hirsch , S. Morisi , J. W. F. Valle

The data on neutrino mixing are at present compatible with Tri-Bimaximal (TB) mixing. If one takes this indication seriously then the models that lead to TB mixing in first approximation are particularly interesting and A4 models are…

高能物理 - 唯象学 · 物理学 2009-05-15 Guido Altarelli

We construct phenomenologically viable models of lepton masses and mixing based on modular $A_4$ invariance broken to residual symmetries $\mathbb{Z}^{T}_3$ or $\mathbb{Z}^{ST}_3$ and $\mathbb{Z}^S_2$ respectively in the charged lepton and…

高能物理 - 唯象学 · 物理学 2019-05-22 P. P. Novichkov , S. T. Petcov , M. Tanimoto

We propose a new $A_4$ model in which both the right-handed neutrinos and right-handed charged leptons transform as $A_4$ singlets. We reproduce tri-bimaximal mixing pattern exactly although the $A_4$ symmetry is broken completely at…

高能物理 - 唯象学 · 物理学 2011-10-11 Gui-Jun Ding , Davide Meloni

In this paper, we consider a neutrino mass model based on $A_4$ symmetry. The spontaneous symmetry breaking in this model is chosen to obtain tribimaximal mixing in the neutrino sector. We introduce $Z_2 \times Z_2$ invariant perturbations…

高能物理 - 唯象学 · 物理学 2022-09-07 Abhish Dev , P. Ramadevi , S. Uma Sankar

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…

高能物理 - 唯象学 · 物理学 2011-08-25 Gui-Jun Ding

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'…

高能物理 - 唯象学 · 物理学 2011-09-13 Stephen F. King , Christoph Luhn

We formulate and discuss a 4-dimensional SUSY version of an A4 model for tri-bimaximal neutrino mixing which is completely natural. We also study the next-to-the-leading corrections and show that they are small, once the ratios of A4…

高能物理 - 唯象学 · 物理学 2008-11-26 Guido Altarelli , Ferruccio Feruglio

We discuss a minimal flavour model with twin modular symmetries, leading to trimaximal TM$_1$ lepton mixing in which the first column of the tri-bimaximal lepton mixing matrix is preserved. The model involves two modular $S_4$ groups, one…

高能物理 - 唯象学 · 物理学 2020-01-07 Stephen F. King , Ye-Ling Zhou

In the supersymmetric seesaw model of neutrino masses, augmented by the non-Abelian discrete tetrahedral symmetry A_4, a specific pattern of neutrino mixing is automatically generated if one of the three heavy singlet neutrino superfields…

高能物理 - 唯象学 · 物理学 2010-04-06 Ernest Ma

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…

高能物理 - 唯象学 · 物理学 2008-09-17 Alakabha Datta

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,…

高能物理 - 唯象学 · 物理学 2010-05-28 Yin Lin

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…

高能物理 - 唯象学 · 物理学 2024-03-07 Han Zhang , Ye-Ling Zhou

We propose a flavour model based on an $A_4$ symmetry combined with a type-II seesaw mechanism for neutrino mass generation. The resulting neutrino mass matrix obeys a sum rule that, together with the measured mass-squared differences,…

高能物理 - 唯象学 · 物理学 2026-03-16 Salvador Centelles Chuliá , Ranjeet Kumar

I review the construction of a model for lepton masses based on the flavour symmetry group A4 x U(1) reproducing the so-called tri-bimaximal lepton mixing scheme, in eccelent agreement with current data. The model predicts a neutrino…

高能物理 - 唯象学 · 物理学 2009-04-25 Ferruccio Feruglio

It has been recently claimed that the symmetry group S4 yields to the Tri-bimaximal neutrino mixing in a "natural" way from the group theory point of view. Approving of this feature as an indication, we build a supersymmetric model of…

高能物理 - 唯象学 · 物理学 2010-05-12 Federica Bazzocchi , Luca Merlo , Stefano Morisi

Neutrino tribimaximal mixing is obtained from the breaking of A_4 to Z_3 in the charged-lepton sector and to Z_2 in the neutrino sector. To enforce this conflicting pattern, extra particles and symmetries are usually invoked, often…

高能物理 - 唯象学 · 物理学 2014-11-20 Ernest Ma

In view of the fact that the data on neutrino mixing are still compatible with a situation where Bimaximal mixing is valid in first approximation and it is then corrected by terms of order of the Cabibbo angle, arising from the…

高能物理 - 唯象学 · 物理学 2014-11-18 G. Altarelli , F. Feruglio , L. Merlo

We consider tri-bimaximal lepton mixing within low-scale seesaw schemes where light neutrino masses arise from TeV scale physics, potentially accessible at the Large Hadron Collider (LHC). Two examples are considered, based on the A4 flavor…

高能物理 - 唯象学 · 物理学 2010-05-28 M. Hirsch , S. Morisi , J. W. F. Valle
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