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Singular values are used to construct physically admissible 3-dimensional mixing matrices characterized as contractions. Depending on the number of singular values strictly less than one, the space of the 3-dimensional mixing matrices can…

High Energy Physics - Phenomenology · Physics 2020-04-22 Wojciech Flieger , Janusz Gluza , Kamil Porwit

Unitarity is a fundamental property of any theory required to ensure we work in a theoretically consistent framework. In comparison with the quark sector, experimental tests of unitarity for the 3x3 neutrino mixing matrix are considerably…

High Energy Physics - Phenomenology · Physics 2016-06-22 Stephen Parke , Mark Ross-Lonergan

We study a geometric structure of a physical region of neutrino mixing matrices as part of the unit ball of the spectral norm. Each matrix from the geometric region is a convex combination of unitary PMNS matrices. The disjoint subsets…

High Energy Physics - Phenomenology · Physics 2022-08-17 Wojciech Flieger , Janusz Gluza

We consider phenomenologically allowed structures of the neutrino mass matrix in the case of three light neutrino species. Constraints from the solar, atmospheric and reactor neutrino experiments as well as those from the neutrinoless…

High Energy Physics - Phenomenology · Physics 2008-11-26 E. Kh. Akhmedov

The elements (squared) of the neutrino mixing matrix are found to satisfy, as functions of the induced mass, a set of differential equations. They show clearly the dominance of pole terms when the neutrino masses "cross". Using the known…

High Energy Physics - Phenomenology · Physics 2018-03-22 S. H. Chiu , T. K. Kuo

We have studied how observables of the neutrino mixing matrix can link up with the ones in the quark sector. The deviation from the bi-maximal flavor mixing is parameterized using a 3 x 3 unitary matrix. The neutrino mixings are…

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

Exotic explanations are considered for atmospheric neutrino observations. Our analysis includes matter effects and the mixing of all three neutrinos under the simplifying assumption of only one relevant mixing scale. Constraints from…

High Energy Physics - Phenomenology · Physics 2014-11-17 James Pantaleone , T. K. Kuo , Sadek Mansour

The recent neutrino data converge towards a 3$\nu$ scheme with two large and one small mixing angles. Their implications for model-building are discussed. Some possible components of a flavor symmetry over quarks and leptons are singled…

High Energy Physics - Phenomenology · Physics 2007-05-23 Fu-Sin Ling

We investigate the possibility of unitarity violation in the sequential neutrino mixing matrix in a scenario with extra compact spacelike dimensions. Gauge singlet neutrinos are assumed to propagate in one extra dimension, giving rise to an…

High Energy Physics - Phenomenology · Physics 2009-10-29 Subhaditya Bhattacharya , Paramita Dey , Biswarup Mukhopadhyaya

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…

The mixing of three and four massive neutrinos is considered. It is shown that the neutrino oscillation data are not compatible with a hierarchy of couplings in the three-neutrino case. In the case of four neutrinos, a hierarchy of masses…

High Energy Physics - Phenomenology · Physics 2007-05-23 S. M. Bilenky , C. Giunti , W. Grimus

We provide a consistent framework to set limits on properties of light sterile neutrinos coupled to all three active neutrinos using a combination of the latest cosmological data and terrestrial measurements from oscillations, $\beta$-decay…

Consider the most general $3 \times 3$ Majorana neutrino mass matrix $\cal M$. Motivated by present neutrino-oscillation data, much theoretical effort is directed at reducing it to a specific texture in terms of a small number of…

High Energy Physics - Phenomenology · Physics 2009-11-10 Ernest Ma

We study neutrino physics in a model with one large extra dimension. We assume the existence of two four-dimensional branes in the five-dimensional space-time, one for the ordinary particles and the other one for mirror particles, and we…

High Energy Physics - Phenomenology · Physics 2009-11-07 J. Maalampi , V. Sipilainen , I. Vilja

We summarize the determination of some neutrino properties from the global analysis of solar, atmospheric, reactor, and accelerator neutrino data in the framework of three-neutrino mixing as well as in some extended scenarios such as the…

High Energy Physics - Phenomenology · Physics 2016-06-22 M. C. Gonzalez-Garcia , Michele Maltoni , Thomas Schwetz

We determine the elements of the leptonic mixing matrix, without assuming unitarity, combining data from neutrino oscillation experiments and weak decays. To that end, we first develop a formalism for studying neutrino oscillations in…

High Energy Physics - Phenomenology · Physics 2009-11-11 S. Antusch , C. Biggio , E. Fernandez-Martinez , M. B. Gavela , J. Lopez-Pavon

Measurements of various features of the fluxes of atmospheric and solar neutrinos have provided evidence for neutrino oscillations and therefore for neutrino masses and mixing. We review the phenomenology of neutrino oscillations in vacuum…

High Energy Physics - Phenomenology · Physics 2009-09-29 M. C. Gonzalez-Garcia , Y. Nir

What information about the neutrino mass spectrum and mixing matrix can be inferred from the existing neutrino oscillation data? We discuss here the answer to this question in the case of mixing of three and four neutrinos. We present the…

High Energy Physics - Phenomenology · Physics 2007-05-23 S. M. Bilenky , C. Giunti , W. Grimus

Neutrino Oscillation, in which a given flavour of neutrino transforms into another is a powerful tool for probing small neutrino masses. The intrinsic neutrino properties involved are neutrino mass squared difference $\Delta m^2$ and the…

High Energy Physics - Phenomenology · Physics 2008-11-26 Srubabati Goswami

A simple model of the neutrino mixing is considered, which contains only one right-handed neutrino field, coupled via the mass term to the three usual left-handed fields. This is a simplest model that allows for three-flavour neutrino…

High Energy Physics - Phenomenology · Physics 2009-10-22 Piotr A. Rcaczka , Andrzej Szymacha , Stanisław Tatur
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