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We present a classification of possible parametrizations of the 3x3 lepton flavor mixing matrix in terms of the rotation and phase angles. A particular parametrization, which is most convenient to describe the observables of neutrino…

High Energy Physics - Phenomenology · Physics 2014-11-17 Harald Fritzsch , Zhi-zhong Xing

We show that a non-vanishing angle theta_13 of order 0.1 can be predicted in the framework of discrete flavour symmetries. We assume that left-handed leptons transform as triplets under a group G_f which is broken in such a way that…

High Energy Physics - Phenomenology · Physics 2011-09-13 Reinier de Adelhart Toorop , Ferruccio Feruglio , Claudia Hagedorn

We construct a 3-3-1 model based on non-Abelian discrete symmetry $T_7$ responsible for the fermion masses. Neutrinos get masses from only anti-sextets which are in triplets $\underline{3}$ and $\underline{3}^*$ under $T_7$. The flavor…

High Energy Physics - Phenomenology · Physics 2014-04-29 V. V. Vien , H. N. Long

We present the lepton flavor model with $\Delta (54)$, which appears typically in heterotic string models on the $T^2/Z_3$ orbifold. Our model reproduces the tri-bimaximal mixing in the parameter region around degenerate neutrino masses or…

High Energy Physics - Phenomenology · Physics 2010-04-30 Hajime Ishimori , Tatsuo Kobayashi , Hiroshi Okada , Yusuke Shimizu , Morimitsu Tanimoto

Three interesting scenarios for neutrino mixing, i.e., (i) small-large mixing scenario, (ii) nearly bi-maximal mixing scenario and (iii) three-flavor oscillation scenario, are analyzed in connection with three possible assignments of the…

High Energy Physics - Phenomenology · Physics 2014-11-17 Yue-Liang Wu

A model independent analysis of the leptonic Dirac CP-violating phase ({\delta}) is presented. The analysis uses the experimentally determined values of the mixing angles in the lepton mixing matrix in order to explore the allowed values…

High Energy Physics - Phenomenology · Physics 2014-06-09 J. Alberto Acosta , Alfredo Aranda , Julio Virrueta

We present a model based on an O(3) flavor symmetry and a minimal extension of the scalar sector to induce hierarchical breaking, O(3) -> O(2) -> SO(2) -> nothing. The model naturally accounts for all the known lepton parameters and yields…

High Energy Physics - Phenomenology · Physics 2009-10-31 Gilad Perez

Flavour models may display a relation between the CP-violating asymmetry for leptogenesis and low-energy parameters. If the flavour symmetry produces an exact mass independent lepton mixing scheme at leading order (with type I see-saw) the…

High Energy Physics - Phenomenology · Physics 2015-05-27 Ivo de Medeiros Varzielas

A realistic scheme for masses and mixing of leptons is investigated in the model with gauged SO(3) lepton flavor symmetry. Within this scheme, a nearly `bi-maximal' neutrino mixing pattern with maximal CP-violating phase is found to be the…

High Energy Physics - Phenomenology · Physics 2011-09-13 Yue-Liang Wu

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 $A_4$…

High Energy Physics - Phenomenology · Physics 2015-04-16 Sin Kyu Kang , Morimitsu Tanimoto

Flavour groups have been extensively used to explain the pattern of mixing in the lepton sector. In combination with generalised CP six observables of the lepton sector can be predicted: three mixing angles and three phases. We present the…

High Energy Physics - Phenomenology · Physics 2015-06-24 Jessica Turner

We show how the nearly bi-maximal mixing scenario comes out naturally from gauged $SO(3)_{F}$ flavor symmetry via spontaneous symmetry breaking. An interesting relation between the neutrino mass-squared differences and the mixing angle,…

High Energy Physics - Phenomenology · Physics 2007-05-23 Yue-Liang Wu

We propose an elegant theory of flavour based on $A_4\times Z_5$ family symmetry with Pati-Salam unification which provides an excellent description of quark and lepton masses, mixing and CP violation. The $A_4$ symmetry unifies the…

High Energy Physics - Phenomenology · Physics 2014-09-05 Stephen F. King

A predictive Leptogenesis scenario is presented based on the Minimal Lepton Flavour Violation symmetry. In the realisation with three right-handed neutrinos transforming under the same flavour symmetry of the lepton electroweak doublets,…

High Energy Physics - Phenomenology · Physics 2018-08-01 L. Merlo , S. Rosauro-Alcaraz

We introduce a new texture for neutrino mixing named Tri-Permuting (TP) mixing matrix. This pattern is characterized by maximal solar and atmospheric angles and by a large reactor angle satisfying sin(theta_13)=1/3. The correct lepton…

High Energy Physics - Phenomenology · Physics 2015-03-19 F. Bazzocchi

We note that a simple two parameter description of lepton mixing is possible which reproduces the features that apparently emerge from global fits at the 1\sigma level: if U_{e3} is non-zero it implies that the solar neutrino mixing…

High Energy Physics - Phenomenology · Physics 2015-06-05 Werner Rodejohann , He Zhang

We diagonalize Majorana neutrino mass matrix with the help of PMNS matrix and obtain analytical relations between the mass matrix elements and mixing parameters, viz., three mixing angles- $\theta_{12}, \theta_{23}, \theta_{13}$ and Dirac…

High Energy Physics - Phenomenology · Physics 2019-05-21 Chandan Duarah

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…

High Energy Physics - Phenomenology · Physics 2017-01-25 Jun-Nan Lu , Gui-Jun Ding

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…

High Energy Physics - Phenomenology · Physics 2015-06-16 Gui-Jun Ding , Stephen F. King , Alexander J. Stuart

Recent results from the Daya Bay and RENO reactor experiments have measured the smallest lepton mixing angle and found it to have a value of theta_13 approximately 9 degrees. This result presents a new challenge for the existing paradigms…

High Energy Physics - Phenomenology · Physics 2015-06-05 Stephen F. King , Christoph Luhn , Alexander J. Stuart