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We propose a flexible and model independent parametrization of the neutrino mixing matrix, which takes advantage of the fact that there are up to three small quantities in neutrino mixing phenomenology: (i) the deviation from maximal mixing…

High Energy Physics - Phenomenology · Physics 2008-11-26 W. Rodejohann

Three-neutrino mixing in matter is studied through a set of evolution equations which are based on a rephasing invariant parametrization. Making use of the known properties of measured neutrino parameters, analytic, approximate, solutions…

High Energy Physics - Phenomenology · Physics 2015-03-13 S. H. Chiu , T. K. Kuo , Lu-Xin Liu

We study neutrino oscillation within the framework of three generations in matter. We propose a simple method to approximate the coefficients A, B and C which do not depend on the CP phase \delta in the oscillation probability P(\nu_e \to…

High Energy Physics - Phenomenology · Physics 2014-11-17 Akira Takamura , Keiichi Kimura , Hidekazu Yokomakura

We present a brief review of the current status of neutrino mass and mixing parameters, based on a comprehensive phenomenological analysis of neutrino oscillation and non-oscillation searches, within the standard three-neutrino mixing…

High Energy Physics - Phenomenology · Physics 2007-05-23 G. L. Fogli , E. Lisi , A. Marrone , A. Palazzo , A. M. Rotunno

We review some fundamental aspects of the theory of neutrino masses and mixing. The results of neutrino oscillation experiments are interpreted as evidence of three-neutrino mixing. Implications for the mixing parameters and the neutrino…

High Energy Physics - Phenomenology · Physics 2008-11-26 Carlo Giunti

Neutrino oscillations are well established and the relevant parameters determined with good precision, except for the CP phase, in terms of a unitary lepton mixing matrix. Seesaw extensions of the Standard Model predict unitarity deviations…

High Energy Physics - Phenomenology · Physics 2016-04-08 F. J. Escrihuela , D. V. Forero , O. G. Miranda , M. Tortola , J. W. F. Valle

A consistent description of the results of the neutrino oscillation experiments carried out so far can be obtained from three basic properties of neutrinos and the parameters of the Hamiltonian matrix. Using these basic neutrino properties,…

High Energy Physics - Phenomenology · Physics 2009-12-21 Walter Schmidt-Parzefall

In this talk I review the present status of neutrino masses and mixing and some of their implications for particle physics phenomenology. I first discuss the minimum extension of the Standard Model of particle physics required to…

High Energy Physics - Phenomenology · Physics 2009-11-10 M. C. Gonzalez-Garcia

I discuss some problems connected with the high precision study of neutrino oscillations. In the general case of $n$-neutrino mixing I derive a convenient expression for transition probability in which only independent terms (and…

High Energy Physics - Phenomenology · Physics 2015-02-24 S. M. Bilenky

We point out the simple reversibility between the fundamental neutrino mixing parameters in vacuum and their effective counterparts in matter. The former can therefore be expressed in terms of the latter, allowing more straightforward…

High Energy Physics - Phenomenology · Physics 2014-11-17 Zhi-zhong Xing

The exact formula for the neutrino oscillation probability in matter with constant density, which was discovered by Kimura, Takamura and Yokomakura, has been applied mostly to the standard case with three flavor neutrino so far. In this…

High Energy Physics - Phenomenology · Physics 2007-05-23 Osamu Yasuda

Neutrino physics has entered an era of precision measurements. With these precise measurements, we may be able to distinguish different models that have been constructed to explain the small neutrino masses and the large mixing among them.…

High Energy Physics - Phenomenology · Physics 2008-11-26 Mu-Chun Chen

A simple method of the calculation of neutrino transition probabilities in vacuum in the general case of $n$ massive neutrinos is presented. The method proposed fully utilizes the unitarity of the mixing matrix. Three-neutrino case for both…

High Energy Physics - Phenomenology · Physics 2012-08-14 S. M. Bilenky

Following similar approaches in the past, the Schrodinger equation for three neutrino propagation in matter of constant density is solved analytically by two successive diagonalizations of 2x2 matrices. The final result for the oscillation…

High Energy Physics - Phenomenology · Physics 2018-12-04 Ara Ioannisian , Stefan Pokorski

Deviations from unitarity of the CKM matrix in the quark sector are considered excellent windows to probe physics beyond the Standard Model. In its leptonic counterpart, the PMNS matrix, these searches are particularly motivated, as the new…

Expressions for neutrino oscillations contain a high degree of symmetry, but typical forms for the oscillation probabilities mask these symmetries of the oscillation parameters. We elucidate the $2^7$ parameter symmetries of the vacuum…

High Energy Physics - Phenomenology · Physics 2022-01-19 Peter B. Denton , Stephen J. Parke

The neutrino oscillation probabilities in vacuum and matter are discussed, considering the framework of three active and one light sterile neutrinos. We study in detail the rephasing invariants and CP asymmetry observables, and investigate…

High Energy Physics - Phenomenology · Physics 2020-07-15 Yakefu Reyimuaji , Chun Liu

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

We present results of a combined analysis in neutrino oscillations without unitarity assumption in the $3\nu$ mixing picture. Constraints on neutrino mixing matrix elements are based on recent data from the reactor, solar and long-baseline…

High Energy Physics - Phenomenology · Physics 2021-02-24 Zhuojun Hu , Jiajie Ling , Jian Tang , TseChun Wang

We further develop and extend a recent perturbative framework for neutrino oscillations in uniform matter density so that the resulting oscillation probabilities are accurate for the complete matter potential versus baseline divided by…

High Energy Physics - Phenomenology · Physics 2018-05-30 Peter B. Denton , Hisakazu Minakata , Stephen J. Parke