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In this paper we study a parametrized description of neutrino mixing from a phenomenological point of view. We concentrate on the parametrization in terms of higher order corrections to the leading order mixing matrix. A method to describe…

High Energy Physics - Phenomenology · Physics 2013-03-27 Bo Hu

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

The Standard Model quark and neutrino mixing matrices are of independent empirical origin, but they do suggest unification. In this paper I obtained two united one-parameter quark and neutrino mixing matrices inferred from two…

High Energy Physics - Phenomenology · Physics 2009-03-11 E. M. Lipmanov

We consider a class of models of neutrino mixing with $S_4$ flavour symmetry and generalised CP symmetry, broken to $Z_2$ and $Z_2 \times {\rm CP}$ residual symmetries in the charged lepton and neutrino sectors, respectively. In this…

High Energy Physics - Phenomenology · Physics 2018-03-30 J. T. Penedo , S. T. Petcov , A. V. Titov

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

We propose a scheme of lepton mixing in which the unitary matrix that diagonalizes the neutrino mass matrix is bimaximal and the deviation from bimaximal of the lepton mixing matrix is due to the unitary matrix that diagonalizes the…

High Energy Physics - Phenomenology · Physics 2009-11-07 C. Giunti , M. Tanimoto

We reconstruct the neutrino mass matrix in the flavor basis, using all available experimental data on neutrino oscillations. Majorana nature of neutrinos, normal mass hierarchy (ordering) and validity of the LMA MSW solution of the solar…

High Energy Physics - Phenomenology · Physics 2010-04-05 Michele Frigerio , Alexei Yu. Smirnov

We consider a class of models of neutrino mixing with $S_4$ lepton flavour symmetry combined with a generalised CP symmetry, which are broken to residual $Z_2$ and $Z_2 \times H^\nu_{\rm CP}$ symmetries in the charged lepton and neutrino…

High Energy Physics - Phenomenology · Physics 2017-12-07 J. T. Penedo , S. T. Petcov , A. V. Titov

Hints for sizable $\sin^2 \theta_{13}$ have been reported in earlier global neutrino oscillation data analyses as well as will be reported in this work, and quite recently by the Double Chooz experiment. However, as we enter the era of…

High Energy Physics - Phenomenology · Physics 2011-11-15 Melin Huang , S. D. Reitzner , Wei-Chun Tsai , Huitzu Tu

The determination of CP violating phases in the Majorana neutrino mixing matrix using phenomenological constraints from neutrino oscillations, neutrinoless double beta decay, ($\mu^-, e^+$) conversion and few other processes is discussed.…

High Energy Physics - Phenomenology · Physics 2007-05-23 M. K. Samal

Current neutrino oscillation data indicate that the $3\times 3$ Pontecorvo-Maki-Nakagawa-Sakata matrix $U$ exhibits a $\mu$-$\tau$ flavor interchange symmetry $|U^{}_{\mu i}| = |U^{}_{\tau i}|$ (for $i = 1, 2, 3$) as a good approximation.…

High Energy Physics - Phenomenology · Physics 2022-11-04 Zhi-zhong Xing

The model-independent "box" parameterization of neutrino oscillations is examined. The invariant boxes are the classical amplitudes of the individual oscillating terms. Being observables, the boxes are independent of the choice of…

High Energy Physics - Phenomenology · Physics 2009-10-31 Thomas J. Weiler , DJ Wagner

In this work we study examples of hierarchical neutrino mass matrices inspired by family symmetries, compatible with experiments on neutrino oscillations, and for which there is a connection among the low energy CP violation phase…

High Energy Physics - Phenomenology · Physics 2009-11-10 L. Velasco-Sevilla

Arguments are presented based on particle phenomenology and the requirement for Unitarity for a complex valued postulated four generation CKM Matrix (VCKM ) based on a Sequential Fourth Generation Model (sometimes named SM4). A modified…

General Physics · Physics 2010-04-11 Dr. Henry Makowitz , Ph. D

The PMNS neutrino mixing matrix U_{PMNS} is in general a product of two unitary matrices U_{lep} and U_{\nu} arising from the diagonalization of the charged lepton and neutrino mass matrices, U_{PMNS} = U^{\dagger}_{lep} U_{\nu}. Assuming…

High Energy Physics - Phenomenology · Physics 2014-11-17 P. H. Frampton , S. T. Petcov , W. Rodejohann

In this paper we study three active neutrino oscillations, favored by recent data from SuperK and SNO, using a new parametrization of the lepton mixing matrix $V$ constructed from a linear combination of the unit matrix $I$, and a hermitian…

High Energy Physics - Phenomenology · Physics 2014-11-17 Virendra Gupta , Xiao-Gang He

In the standard model of neutrino oscillations, the neutrino flavor states are mixtures of mass-eigenstates, and the phenomena are well described by the neutrino mixing matrix, i.e., the PMNS matrix. I review the recent progress on…

High Energy Physics - Phenomenology · Physics 2011-09-27 Bo-Qiang Ma

We exam the pairs of neutrino mixing matrix and suggest pairs that can be used in the construction of new mixing patterns, with "pair" denoting the equality of the modulus of a pair of matrix elements. The results show that the tri-maximal…

High Energy Physics - Phenomenology · Physics 2015-10-07 Dianjing Liu , Bo-Qiang Ma

CP violation in the lepton mass matrix will be probed with good precision in upcoming experiments. The amount of CP violation present in oscillations can be quantified in numerous ways and is typically parameterized by the complex phase…

High Energy Physics - Phenomenology · Physics 2021-05-20 Peter B. Denton , Rebekah Pestes

If neutrinos get mass via the seesaw mechanism the mixing matrix describing neutrino oscillations can be effectively non-unitary. We show that in this case the neutrino appearance probabilities involve a new CP phase, phi, associated to…

High Energy Physics - Phenomenology · Physics 2016-08-12 O. G. Miranda , M. Tortola , J. W. F. Valle