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Neutrino mixing is studied from a symmetry perspective, both bottom-up and top-down. In the bottom-up approach, we start from the tri-bimaximal mixing, or one of its three partial patterns, and construct a list of horizontal symmetry groups…

High Energy Physics - Phenomenology · Physics 2008-11-26 C. S. Lam

We study the implications of having a similarity between quark and lepton mixing in the Dirac sector of the Standard Model plus the right-handed neutrino. This enable us to describe all masses and mixings in the Dirac sector in terms of…

High Energy Physics - Phenomenology · Physics 2007-05-23 D. Falcone

We assume that all quark and lepton $3 \times 3$ mass matrices which appear in the standard model lagrangian (after spontaneous symmetry breaking) with neutrinos treated as Dirac patricles have the triangular form. Such matrices have not…

High Energy Physics - Phenomenology · Physics 2008-11-26 S. Tatur , J. Bartelski

The mass matrices of quarks have a simple structure if expressed in powers of the small parameter \sigma=(m_c/m_t)^{1/2}. If there is a close relation between quarks and leptons, one would expect similar structures for the lepton matrices…

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

We discuss mass matrices with four texture zeros for the quarks and leptons. The three mixing angles for the quarks and leptons are functions of the fermion masses. The results agree with the experimental data. The ratio of the masses of…

High Energy Physics - Phenomenology · Physics 2015-07-29 Harald Fritzsch

We point out that the Cabibbo-Kobayashi-Maskawa (CKM) quark mixing matrix $V_{\rm CKM}$ and the Maki-Nakagawa-Sakata (MNS) lepton mixing matrix $V_{\rm MNS}$ can naturally be correlated in a class of seesaw models with grand unification,…

High Energy Physics - Phenomenology · Physics 2009-11-11 Zhi-zhong Xing

We derive empirical relationships among elementary fermion masses based on relatively simple exponential formulae involving quantum numbers for the electromagnetic and strong interactions, with a weak correction factor motivated by a simple…

General Physics · Physics 2009-02-25 Alan Breakstone

We extend a previously developed description of the flavour parameters in the charged fermion sector, based on a U(2) flavour symmetry, to include two main features of the neutrino sector seemingly implied by recent data: a large mixing…

High Energy Physics - Phenomenology · Physics 2014-11-17 Riccardo Barbieri , Paolo Creminelli , Andrea Romanino

The origin of small mixing among the quarks and a large mixing among the neutrinos has been an open question in particle physics. In order to answer this question, we postulate general relations among the quarks and the leptonic mixing…

High Energy Physics - Phenomenology · Physics 2016-06-23 Gauhar Abbas , Mehran Zahiri Abyaneh , Aritra Biswas , Saurabh Gupta , Monalisa Patra , G. Rajasekaran , Rahul Srivastava

We introduce a new parametrization of the MNS lepton mixing matrix which separates the hierarchical Grand Unified relations among quarks and leptons. We argue that one large angle stems from the charged leptons, the other from the seesaw…

High Energy Physics - Phenomenology · Physics 2010-04-05 Aseshkrishna Datta , Fu-Sin Ling , Pierre Ramond

We discuss the neutrino mixing, using the texture 0 mass matrices, which work very well for the quarks. The solar mixing angle is directly linked to the mass ratio of the first two neutrinos. The neutrino masses are hierarchical, but the…

High Energy Physics - Phenomenology · Physics 2008-11-26 H. Fritzsch

The lepton mixing angles of the PMNS matrix are predicted based on the lepton flavor symmetry of a finite group $C_2\times D_3$, where the cyclic group $C_2$ acts on the charged lepton mass terms and the dihedral group $D_3$ on the neutrino…

High Energy Physics - Phenomenology · Physics 2013-12-06 HoSeong La

We assume that all quark and lepton mass matrices have upper triangular form. Using all available experimental data on quark and lepton masses and mixing angles we make a fit in which we determine mass matrices elements. There are too many…

High Energy Physics - Phenomenology · Physics 2008-12-19 Stanislaw Tatur , Jan Bartelski

The CKM and PMNS matrices have been constructed based on the latest measurements, largely free from theoretical inputs as well as likely NP effects in the case of the former. To facilitate the construction of the CKM matrix in the PDG…

High Energy Physics - Phenomenology · Physics 2009-04-17 Gulsheen Ahuja , Manmohan Gupta , Monika Randhawa

An interesting mass relation between down type quarks and charged leptons has been recently predicted within a supersymmetric SU(3)_c \times SU(2)_L \times U(1)_Y model based on the A4 flavor symmetry. Here we propose a simple extension…

High Energy Physics - Phenomenology · Physics 2013-08-02 S. Morisi , M. Nebot , Ketan M. Patel , E. Peinado , J. W. F. Valle

Harrison, Perkins and Scott have proposed simple charged lepton and neutrino mass matrices that lead to the tribimaximal mixing $U_{\rm TBM}$. We consider in this work an extension of the mass matrices so that the leptonic mixing matrix…

High Energy Physics - Phenomenology · Physics 2015-05-28 Y. H. Ahn , Hai-Yang Cheng , Sechul Oh

It is shown that an idea proposed in 1996 that relates in a qualitatively correct way the inter-family mass hierarchies of the up quarks, down quarks, charged leptons, and neutrinos, can be combined with a predictive scheme recently…

High Energy Physics - Phenomenology · Physics 2016-03-23 S. M. Barr , Heng-Yu Chen

Under the hypothesis that the CP violating phase parameter \delta in the CKM matrix V takes own value so that the radius R(\delta) of the circle circumscribed about the unitary triangle takes its minimum value, possible phase conventions of…

High Energy Physics - Phenomenology · Physics 2007-05-23 Yoshio Koide

We reexamine the quark-lepton complementarity (QLC) in nine angle-phase parametrizations with the latest result of a large lepton mixing angle $\vartheta_{13}$ from the T2K, MINOS and Double Chooz experiments. We find that there are still…

High Energy Physics - Phenomenology · Physics 2012-05-24 Xinyi Zhang , Ya-juan Zheng , Bo-Qiang Ma

We consider the Friedberg-Lee symmetry for the quark sector and show that the symmetry closely relates to both quark masses and mixing angles. We also extend our scheme to the fourth generation quark model and find the relation…

High Energy Physics - Phenomenology · Physics 2010-05-28 T. Araki , C. Q. Geng