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We point out that there is a unique parametrization of quark flavor mixing in which every angle is close to the Cabibbo angle \theta_C \simeq 13^\circ with the CP-violating phase \phi_q around 1^\circ, implying that they might all be…

High Energy Physics - Phenomenology · Physics 2015-06-04 Jean-Marc Gerard , Zhi-zhong Xing

We provide a systematic and thorough exploration of the $\Delta(48)$ family symmetry and the consistent generalised CP symmetry. A model-independent analysis of the achievable lepton flavor mixing is performed by considering all the…

High Energy Physics - Phenomenology · Physics 2014-06-24 Gui-Jun Ding , Ye-Ling Zhou

Generalised CP transformations are the only known framework which allows to predict Majorana phases in a flavour model purely from symmetry. For the first time generalised CP transformations are investigated for an infinite series of finite…

High Energy Physics - Phenomenology · Physics 2015-06-19 Stephen F. King , Thomas Neder

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 measurement of the reactor angle by the Daya Bay and RENO experiments in 2012 has ruled out the tri-bimaximal paradigm. Adopting an S4 family symmetry, we propose direct models of the trimaximal type TM1 in which the tri-bimaximal Klein…

High Energy Physics - Phenomenology · Physics 2015-06-16 Christoph Luhn

Present data prefer a large but non-maximal 2-3 mixing in the lepton sector. We argue that this value, in connection with $\sin\theta_{13}\simeq 0.15$, is the generic outcome of minimal flavour structures. We present a few different…

High Energy Physics - Phenomenology · Physics 2017-08-15 Michele Frigerio , Albert Villanova del Moral

Using the result of the three flavor analysis of the old Kamiokande data, the recent Superkamiokande data of atmospheric neutrinos and the CHOOZ reactor data, it is shown that the third mixing angle $\theta_{13}$ is small. It is proposed to…

High Energy Physics - Phenomenology · Physics 2011-04-15 Osamu Yasuda

We construct a supersymmetric model for leptons and quarks with the flavor symmetry Delta(384) and CP. The peculiar features of lepton and quark mixing are accomplished by the stepwise breaking of the flavor and CP symmetry. The correct…

High Energy Physics - Phenomenology · Physics 2020-02-17 Claudia Hagedorn , Johannes König

In this topical review we argue that neutrino mass and mixing data motivates extending the Standard Model to include a non-Abelian discrete flavour symmetry in order to accurately predict the large leptonic mixing angles and CP violation.…

High Energy Physics - Phenomenology · Physics 2015-11-12 Stephen F. King

Using the fact that the neutrino mixing matrix $U = U^\dagger_{e}U_{\nu}$, where $U_{e}$ and $U_{\nu}$ result from the diagonalisation of the charged lepton and neutrino mass matrices, we consider a number of forms of $U_{\nu}$ associated…

High Energy Physics - Phenomenology · Physics 2015-02-03 S. T. Petcov

We find that the lepton flavor mixing matrix $U$ should possess a partial $\mu$-$\tau$ permutation symmetry $|U^{}_{\mu 1}| = |U^{}_{\tau 1}|$, and the latter predicts a novel correlation between the Dirac CP-violating phase $\delta$ and…

High Energy Physics - Phenomenology · Physics 2014-09-01 Zhi-zhong Xing , Shun Zhou

We study a 3-3-1 model based on non-Abelian discrete symmetry group $T_{13}$ which accommodates lepton mixing with non-zero $\theta_{13}$ and CP violation phase. The neutrinos get small masses and mixing with CP violation phase from…

High Energy Physics - Phenomenology · Physics 2015-08-12 V. V. Vien

In the framework of canonical seesaw model, we present a simple but viable scenario to explicitly break an $S^{}_{3{\rm L}} \times S^{}_{3{\rm R}}$ flavor symmetry in the leptonic sector. It turns out that the leptonic flavor mixing matrix…

High Energy Physics - Phenomenology · Physics 2017-10-31 Zong-guo Si , Xing-hua Yang , Shun Zhou

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…

High Energy Physics - Phenomenology · Physics 2016-11-23 Nguyen Anh Ky , Phi Quang Van , Nguyen Thi Hong Van

We discussed the scenario that a discrete flavor group combined with CP symmetry is broken to $Z_2\times CP$ in both neutrino and charged lepton sectors. All lepton mixing angles and CP violation phases are predicted to depend on two free…

High Energy Physics - Phenomenology · Physics 2018-04-04 Cai-Chang Li , Jun-Nan Lu , Gui-Jun Ding

The recent measurement of the third lepton mixing angle, \theta_{13}, has shown that, although small compared to \theta_{12} and \theta_{23}, it is much larger than anticipated in schemes that generate Tri-Bi-Maximal (TBM) or Golden Ratio…

High Energy Physics - Phenomenology · Physics 2015-06-15 L. J. Hall , G. G. Ross

We perform a systematic search for simple but viable lepton mixing patterns. Our main criterion is that the mixing matrix can be parameterized by three rotation angles, which are simple fractions of pi. These simple rotation angles possess…

High Energy Physics - Phenomenology · Physics 2015-05-28 Werner Rodejohann , He Zhang , Shun Zhou

The pattern of lepton mixing can emerge from breaking a flavor symmetry in different ways in the neutrino and charged lepton Yukawa sectors. In this framework, we derive the conditions imposed on the mixing matrix by the structure of…

High Energy Physics - Phenomenology · Physics 2013-05-30 D. Hernandez , A. Yu. Smirnov

An algebraic approach is used to derive symmetry relations for the parameterization of the three neutrino mixing matrix. The symmetry relations imply bounds on the mixing angles. Including a CP violating phase $\delta$, the mixing angles…

Nuclear Theory · Physics 2007-05-23 D. C. Latimer , D. J. Ernst

We introduce a flavor ${\cal U}(1)$ symmetry \`a la Froggat-Nielsen to explain the magnitude of the CKM mixing angles as well bilarge mixing in the neutrino sector. In the framework of GUTs we also estimate the magnitude of the third…

High Energy Physics - Phenomenology · Physics 2008-11-26 Qaisar Shafi , Zurab Tavartkiladze