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The quark-lepton complementarity (QLC) relations indicate a deep structure that interrelates quarks and leptons. We propose new scenarios, in a seesaw framework with discrete $A_4$ flavor symmetry, which can accommodate the QLC relations…

High Energy Physics - Phenomenology · Physics 2011-05-12 Y. H. Ahn , Hai-Yang Cheng , Sechul Oh

In the absence of a Grand Unified Theory framework, connecting the values of the mixing parameters in the quark and lepton sector is a difficult task, unless one introduces ad-hoc relations among the matrices that diagonalize such different…

High Energy Physics - Phenomenology · Physics 2024-07-03 Alessio Giarnetti , Simone Marciano , Davide Meloni

We suggest a simple relation between the quark and the lepton mixing within the framework of type-I seesaw mechanism. We show that within our ansatz the empirical King-Mohapatra-Smirnov relation, which suggests a connection between the CKM…

High Energy Physics - Phenomenology · Physics 2023-04-17 Francisco Albergaria , G. C. Branco , José Filipe Bastos , J. I. Silva-Marcos

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

Based on the relation between CP-violation phase and the other three mixing angles in Cabibbo-Kobayashi-Maskawa matrix postulated by us before, a new constraint on the parameters of Wolfenstein's parametrization is given. The result is…

High Energy Physics - Phenomenology · Physics 2007-05-23 Yong Liu , Jing-Ling Chen

We propose the lepton mixing matrix at high energy scale to be connected to quark mixing matrix by the similar transformation. The similarity between CKM and PMNS significantly narrows down the ranges in physical parameters. The condition…

High Energy Physics - Phenomenology · Physics 2010-08-23 Seungsu Hwang , Kim Siyeon

We obtain a relationship between the hierarchies of mixing angles and of masses pertinent to the Cabibbo-Kobayashi-Maskawa (CKM) quark mixing matrix and the Pontecorvo-Maki-Nakagawa-Sakata (PMNS) lepton mixing matrix. Using this…

High Energy Physics - Phenomenology · Physics 2020-04-29 Paul H. Frampton , Jihn E. Kim

With the progress of increasingly precise measurements on the neutrino mixing angles, phenomenological relations such as quark-lepton complementarity (QLC) among mixing angles of quarks and leptons and self-complementarity (SC) among lepton…

High Energy Physics - Phenomenology · Physics 2012-11-20 Yijia Zhang , Xinyi Zhang , Bo-Qiang Ma

We consider a scenario for the Quark-Lepton Complementarity relations between mixing angles in which the bi-maximal mixing follows from the neutrino mass matrix. According to this scenario in the lowest order the angle \theta_{12} is \sim…

High Energy Physics - Phenomenology · Physics 2008-11-26 Michael A. Schmidt , Alexei Yu. Smirnov

Recent works show that the original Kobayashi-Maskawa (KM) form of fermion mixing matrix exhibits some advantages, especially when discussing problems such as unitarity boomerangs and maximal CP violation hypothesis. Therefore, the KM form…

High Energy Physics - Phenomenology · Physics 2011-03-23 Nan Qin , Bo-Qiang Ma

The recent observations of the leptonic mixing angle \theta^PMNS_13 are consistent with \theta^PMNS_13 = \theta_C / \sqrt2 (with \theta_C being the Cabibbo angle \theta^CKM_12). We discuss how this relation can emerge in Grand Unified…

High Energy Physics - Phenomenology · Physics 2013-02-07 Stefan Antusch , Christian Gross , Vinzenz Maurer , Constantin Sluka

Parametrization of the quark and lepton mixing matrices is the first attempt to understand the mixing of fermions. In this work, we parameterize the quark and lepton matrices with the help of quark-lepton complementarity (QLC) in a…

High Energy Physics - Phenomenology · Physics 2008-11-26 Shi-Wen Li , Bo-Qiang Ma

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

The recent measurements of the solar neutrino mixing angle theta_{sol} and the Cabibbo mixing angle theta_C reveal a surprising relation, theta_{sol}+theta_C ~ pi/4. Interpreting this empirical relation as a support of the quark-lepton…

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

We re-evaluate neutrino mixing patterns according to the latest T2K result for a larger mixing angle $\theta_{13}$, and find that the PMNS mixing matrix has larger deviations from bimaximal (BM) and tribimaximal (TB) mixing patterns than…

High Energy Physics - Phenomenology · Physics 2012-01-20 Ya-juan Zheng , Bo-Qiang Ma

We phenomenologically build a neutrino mass matrix obeying $\mu-\tau$ symmetry with only two parameters, Cabibbo angle $(\lambda)$ and a flavour twister parameter $(\eta)$. For vanishing $\eta$, the model assumes TBM mixing. When…

High Energy Physics - Phenomenology · Physics 2013-04-09 Subhankar Roy , N. Nimai Singh

We mimic the Wolfenstein scheme of quark flavor mixing to describe neutrino oscillations in the standard model. We identify the parameter $\lambda$ with the experimentally measured value of the mixing element responsible for atmospheric…

High Energy Physics - Phenomenology · Physics 2013-04-25 V. Gupta , G. Sánchez-Colón , S. Rajpoot , H-C. Wang

The complementarity between the quark and lepton mixing matrices is shown to provide robust predictions. We obtain these predictions by first showing that the matrix V_M, product of the quark (CKM) and lepton (PMNS) mixing matrices, may…

High Energy Physics - Phenomenology · Physics 2009-06-11 Marco Picariello , Bhag C. Chauhan , Joao Pulido , Emilio Torrente-Lujan

It is shown that if, from the starting point of a universal rank-one mass matrix long favoured by phenomenologists, one adds the assumption that it rotates (changes its orientation in generation space) with changing scale, one can…

High Energy Physics - Phenomenology · Physics 2015-06-05 Michael J. Baker , J. Bordes , H. M. Chan , S. T. Tsou

We consider a scenario with three Majorana neutrinos in which a discrete, finite flavour group G_f is combined with a generalized CP transformation. We derive conditions for consistently defining such a setup. We show that in general lepton…

High Energy Physics - Phenomenology · Physics 2013-07-03 Ferruccio Feruglio , Claudia Hagedorn , Robert Ziegler