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The matter effects for solar neutrino oscillations are studied in a general scheme with an arbitrary number of sterile neutrinos, without any constraint on the mixing, assuming only a realistic hierarchy of neutrino squared-mass differences…

High Energy Physics - Phenomenology · Physics 2009-12-31 C. Giunti , Y. F. Li

The interpretation of the existing experimental evidences for oscillations of neutrinos in schemes with three and four neutrino mixing is reviewed. Forms of the lepton mixing matrix allowed by the neutrino oscillation data are considered.…

High Energy Physics - Phenomenology · Physics 2007-05-23 S. T. Petcov

In the presence of both direct and indirect unitarity violation in the lepton mixing matrix, we derive a complete set of series expansion formulas for neutrino oscillation probabilities in matter of constant density. Expansions in the mass…

High Energy Physics - Phenomenology · Physics 2016-03-02 Yu-Feng Li , Shu Luo

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 2018-07-13 Ara Ioannisian , Stefan Pokorski

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

We consider the ``standard'' spectrum of the active neutrinos (characterized by strong mass hierarchy and small mixing) with additional sterile neutrino, $\nu_s$. The sterile neutrino mixes strongly with the muon neutrino, so that…

High Energy Physics - Phenomenology · Physics 2011-07-19 Q. Y. Liu , A. Yu. Smirnov

The first phase of studies of the neutrino mass and mixing is essentially over. The outcome is the discovery of non-zero neutrino mass and determination of the dominant structure of the lepton mixing matrix. In some sense this phase was…

High Energy Physics - Phenomenology · Physics 2008-11-26 A. Yu. Smirnov

In the introductory part we briefly consider basics of neutrino oscillations and convenient phenomenology of neutrino oscillations in vacuum. Main part of this report is dedicated to a discussion of a plausible BSM scenarios of neutrino…

High Energy Physics - Phenomenology · Physics 2020-10-13 S. M. Bilenky

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

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

The enhancement of neutrino oscillations in matter is briefly reviewed. Exact and approximate solutions of the equations describing neutrino oscillations in matter are discussed. The role of stochasticity of the media that the neutrinos…

High Energy Physics - Phenomenology · Physics 2011-04-15 A. B. Balantekin

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

A number of derivations of the standard neutrino oscillation formula are known, each one providing its own unique insights. Common to all treatments is the assumption that neutrinos propagate freely between source and detector, as indeed…

High Energy Physics - Phenomenology · Physics 2019-10-08 Lucas Johns

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

The data supporting neutrino oscillations are reexamined empirically, ignoring the phase space of the usual theory. An absolutely minimum description can be constructed easily without assuming oscillations. An empirical fit to a simplified…

General Physics · Physics 2007-05-23 John Michael Williams

We present a formalism for the matter effects in the Earth on low energy neutrino fluxes which is both accurate and has all advantages of a full analytic treatment. The oscillation probabilities are calculated up to second order term in…

High Energy Physics - Phenomenology · Physics 2009-11-10 A. N. Ioannisian , N. A. Kazarian , A. Yu. Smirnov , D. Wyler

Basics of neutrino oscillations is discussed. Importance of time-energy uncertainty relation is stressed. Neutrino oscillations in the leading approximation and evidence for neutrino oscillations are briefly summarized.

High Energy Physics - Phenomenology · Physics 2009-11-11 S. M. Bilenky

General arguments in favor of the necessity of a wave packet description of neutrino oscillations are presented, drawing from analogies with other wave phenomena. We present a wave packet description of neutrino oscillations in stationary…

High Energy Physics - Phenomenology · Physics 2009-11-10 Carlo Giunti

A brief review of the experimental status of neutrino mixing. The model of neutrino oscillations has now been established with high confidence, with many of the model parameters measured to an accuracy of a few per cent. However, some…

High Energy Physics - Experiment · Physics 2011-07-21 Justin Evans

Two-neutrino oscillations in vacuum are studied as a possible solution of the solar neutrino problem. New constraints on the parameter sn2, characterizing the mixing of the electron neutrino with another active or sterile neutrino, as well…

High Energy Physics - Phenomenology · Physics 2009-10-22 P. I. Krastev , S. T. Petcov