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We provide a systematic and thorough exploration of lepton flavor models in which the solar mixing angle is related to the golden ratio. For scenarios in which the solar mixing angle is given by the inverse cotangent of the golden ratio, we…

高能物理 - 唯象学 · 物理学 2012-01-10 Gui-Jun Ding , Lisa L. Everett , Alexander J. Stuart

A model of a neutrino mixing with an $A_4\times Z_3\times Z_4$ flavour symmetry is suggested. In addition to the standard model fields, the present model contains six new fields which transform under different representations of $A_4\times…

高能物理 - 唯象学 · 物理学 2016-11-23 Nguyen Anh Ky , Phi Quang Van , Nguyen Thi Hong Van

We present a framework for lepton flavour models such that the first column of the lepton mixing matrix is (2,-1,-1)/sqrt(6). We show that the flavour symmetry group adequate for this purpose is S4. Our models are based on a vacuum…

高能物理 - 唯象学 · 物理学 2015-06-12 Ivo de Medeiros Varzielas , Luís Lavoura

The flavour lepton symmetry is gauged for both the Standard Model flavor group and its extension with three degenerate right-handed neutrinos. As a consequence of anomaly cancellation, exotic leptons are introduced which induce a see-saw…

高能物理 - 唯象学 · 物理学 2017-05-18 P. Quilez

In this work, we have modified a scenario, originally proposed by Grimus and Lavoura, in order to obtain maximal values for atmospheric mixing angle and CP violating Dirac phase of the lepton sector. To achieve this, we have employed CP and…

高能物理 - 唯象学 · 物理学 2022-10-05 Joy Ganguly , Raghavendra Srikanth Hundi

We propose a mass matrix model that gives a unified description of quark and lepton with the same texture form based on a flavor 2 <-> 3 symmetry. The model is in contrast with the conventional picture that the mass matrix forms in the…

高能物理 - 唯象学 · 物理学 2009-11-11 Koichi Matsuda , Hiroyuki Nishiura

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

An origin of flavor mixings in quark and lepton sectors is still a mystery, and a structure of the flavor mixings in lepton sector seems completely different from that of quark sector. In this letter, we point out that the flavor mixing…

高能物理 - 唯象学 · 物理学 2013-01-14 Naoyuki Haba , Ryo Takahashi

We argue that flavour mixing, both in the quark and charged lepton sector, is basically determined by the lightest family mass generation mechanism. So, in the chiral symmetry limit when the up and down quark masses vanish, all the quark…

高能物理 - 唯象学 · 物理学 2008-11-26 J. L. Chkareuli , C. D. Froggatt

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

We study the flavour sector in models where the three families of matter are unified in a $(16,3)$ representation of the $SO(10)\times A_4$ group. The necessary ingredients to realize tri-bi-maximal mixing in the lepton sector are…

高能物理 - 唯象学 · 物理学 2009-01-16 Federica Bazzocchi , Michele Frigerio , Stefano Morisi

Assuming the Majorana nature of neutrinos, we recently performed a scan of leptonic mixing patterns derived from finite discrete groups of order less than 1536. Here we show that the 3 groups identified there as giving predictions close to…

高能物理 - 唯象学 · 物理学 2013-09-04 Martin Holthausen , Kher Sham Lim

Discrete non-Abelian Symmetries have been extensively used to reproduce the lepton mixings. In particular, the S4 group turned out to be suitable to describe predictive mixing patterns, such as the well-known Tri-Bimaximal and the Bimaximal…

高能物理 - 唯象学 · 物理学 2015-06-05 Federica Bazzocchi , Luca Merlo

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

A model-independent ansatz to describe lepton and quark mixing in a unified way is suggested based upon the Cabibbo angle. In our framework neutrinos mix in a "Bi-Large" fashion, while the charged leptons mix as the "down-type" quarks do.…

高能物理 - 唯象学 · 物理学 2014-10-15 S. Roy , S. Morisi , N. N. Singh , J. W. F. Valle

We discuss whether quark, charged lepton and neutrino masses and mixing angles may be related by an extended flavour and family symmetry group. We show that current measurements of all fermion masses and mixing angles are consistent with a…

高能物理 - 唯象学 · 物理学 2010-04-05 G. G. Ross , L. Velasco-Sevilla

The recent neutrino data converge towards a 3$\nu$ scheme with two large and one small mixing angles. Their implications for model-building are discussed. Some possible components of a flavor symmetry over quarks and leptons are singled…

高能物理 - 唯象学 · 物理学 2007-05-23 Fu-Sin Ling

We formulate a consistent model predicting, in the leading order approximation, maximal atmospheric mixing angle, vanishing reactor angle and tan {\theta}_12 = 1/{\phi} where {\phi} is the Golden Ratio. The model is based on the flavour…

高能物理 - 唯象学 · 物理学 2015-03-17 Ferruccio Feruglio , Alessio Paris

To explain quark and lepton masses and mixing angles, one has to extend the standard model, and the usual practice is to put the quarks and leptons into irreducible representations of discrete groups. We argue that discrete flavor…

高能物理 - 唯象学 · 物理学 2016-04-27 Carl H. Albright , Robert P. Feger. , Thomas W. Kephart