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CP violation in neutrino interactions is described by three phases contained in Pontecorvo-Maki-Nakagawa-Sakata mixing matrix ($U_{PMNS}$). We argue that the phenomenologocally consistent result of the Dirac CP violation can be obtained if…

High Energy Physics - Phenomenology · Physics 2015-01-30 Jun Iizuka , Teruyuki Kitabayashi , Yuki Minagawa , Masaki Yasue

Although different parametrizations of quark mixing matrix are mathematically equivalent, the consequences of experimental analysis may be distinct. Based on the triminimal expansion of Kobayashi-Maskawa matrix around the unit matrix, we…

High Energy Physics - Phenomenology · Physics 2011-01-27 Nan Qin , Bo-Qiang Ma

Recent data of reactor neutrino experiments set more stringent constraint on leptonic mixing patterns. We examine all possible patterns on the basis of combinations of elementary correlations of elements of leptonic mixing matrix. we obtain…

High Energy Physics - Phenomenology · Physics 2016-04-28 Shu-jun Rong

The phase equivalence of the theoretical quark mixing matrix ${\bf V}^{th}$ derived from the breaking of the flavour permutational symmetry and the phenomenological parametrizations ${\bf V}^{PDG}$ and ${\bf V}^{KM}$ is explicitly…

High Energy Physics - Phenomenology · Physics 2016-09-06 A. Mondragon , E. Rodriguez-Jauregui

We show that in a recently proposed $S_3$ model for tri-bimaximal mixing pattern for neutrinos, CP violating phases in neutrino mixings are directly responsible for lepton asymmetry $\epsilon_\ell$. In the exact tri-bimaximal limit,…

High Energy Physics - Phenomenology · Physics 2008-11-26 R. N. Mohapatra , Hai-Bo Yu

Comparison of properties of quark and leptons as well as understanding their similarities and differences is one of the milestones on the way to underlying physics. Several observations, if not accidental, can strongly affect the…

High Energy Physics - Phenomenology · Physics 2009-11-11 A. Yu. Smirnov

We show that non-Hermitian and nearest-neighbor-interacting perturbations to the Fritzsch textures of lepton and quark mass matrices can make both of them fit current experimental data very well. In particular, we obtain \theta_{23} \simeq…

High Energy Physics - Phenomenology · Physics 2011-03-02 Harald Fritzsch , Zhi-zhong Xing , Ye-Ling Zhou

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

In the presence of independent generations of leptons, I show that the same type of ambiguity in the mass spectrum arises as was discussed in ref.[1] for neutral kaons. It results from the freedom to add to their Majorana mass matrix,…

High Energy Physics - Phenomenology · Physics 2007-05-23 B. Machet

If neutrinos are Majorana fermions, the lepton mixing parameter space consists of six mixing parameters: three mixing angles and three CP-odd phases. A related issue concerns the physical range of the mixing parameters. What values should…

High Energy Physics - Phenomenology · Physics 2009-01-09 André de Gouvêa , James Jenkins

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 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

Some fine differences between the twin $b$-flavored unitarity triangles are calculated by means of a generalized Wolfenstein parametrization of the CKM matrix, and a possibility of experimentally establishing the second triangle is briefly…

High Energy Physics - Phenomenology · Physics 2020-10-07 Zhi-zhong Xing , Di Zhang

We analyze the structure of quark and lepton mass matrices under the hypothesis that they are determined from a minimum principle applied to a generic potential invariant under the $\left[SU(3)\right]^5\otimes \mathcal O(3)$ flavor…

High Energy Physics - Phenomenology · Physics 2015-06-16 R. Alonso , M. B. Gavela , G. Isidori , L. Maiani

We analyze the structure of quark and lepton mass matrices under the hypothesis that they are determined from a minimum principle applied to a generic potential invariant under the $\left[U(3)\right]^5\otimes {\mathcal O}(3)$ flavor…

High Energy Physics - Phenomenology · Physics 2014-05-23 Rodrigo Alonso

The recent observational data supports the deviation from Tri-bimaximal (TBM) mixings. Different neutrino mass models suggest the interdependency among the observational parameters involving the mixing angles. On phenomenological ground we…

High Energy Physics - Phenomenology · Physics 2015-06-11 Subhankar Roy , N. Nimai Singh

We study a supersymmetric E6 grand unified model in which the SU(5) 5^* components are twisted in the third generation 27. Supplementing the adjoint Higgs field to a model analyzed previously, we calculate the mass matrices for the up and…

High Energy Physics - Phenomenology · Physics 2009-09-25 M. Bando , T. Kugo , K. Yoshioka

In this paper, realistic CPT-symmetric united at substance quark and neutrino mixing matrices are studied by the idea that they are shifted from respectively unit and bimaximal benchmark matrices by one new small universal empirical…

General Physics · Physics 2010-07-06 E. M. Lipmanov

The search for possible mixing patterns of charged leptons and neutrinos is important to get clues of the origin of nearly maximal mixings, since there are some preferred bases of the lepton mass matrices given by underlying theories. We…

High Energy Physics - Phenomenology · Physics 2016-11-23 N. Haba , J. Sato , M. Tanimoto , K. Yoshioka

The recent experimental measurements of the solar neutrino mixing angle $\theta_{sol}$ and the Cabibbo mixing angle $\theta_C$ reveal a surprising relation, $ \theta_{sol}+\theta_C \simeq \frac{\pi}{4}$. We note that the lepton mixing…

High Energy Physics - Phenomenology · Physics 2009-11-11 Sin Kyu Kang , C. S. Kim , Jake Lee