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We consider several aspects related to the form, derivation and applications of the Liouville equation (LE) for flavour evolution of neutrinos. To take into account the quantum nature of neutrinos we derive the evolution equation for the…

High Energy Physics - Phenomenology · Physics 2016-12-21 Rasmus Sloth Lundkvist Hansen , Alexei Yu. Smirnov

Both gravitational and mass induced neutrino oscillation mechanisms provide possible resolutions to the Solar Neutrino Problem. The distinguishing feature between the two mechanisms is their dependence on the neutrino energy. We investigate…

High Energy Physics - Phenomenology · Physics 2009-10-28 J. R. Mureika , R. B. Mann

The Standard Model of particle physics describes neutrinos as massless, chargeless elementary particles that come in three different flavours. However, recent experiments indicate that neutrinos not only have mass, but also have multiple…

General Physics · Physics 2015-11-23 Spandan Mondal

We consider two-family neutrino oscillations in a medium of continuously-varying density as a limit of the process in a series of constant-density layers. We construct analytic expressions for the conversion amplitude at high energies…

High Energy Physics - Phenomenology · Physics 2008-11-26 Paul M. Fishbane , Peter Kaus

Oscillations of neutrinos $\nu_L \leftrightarrow \nu_R$ in presence of an arbitrary electromagnetic field are considered. We introduce the Hamiltonian for the neutrino spin evolution equation that accounts for possible effects of…

High Energy Physics - Phenomenology · Physics 2009-10-31 A. M. Egorov , A. E. Lobanov , A. I. Studenikin

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

It is shown that neutrino oscillation processes can be consistently described in the framework of quantum field theory. Namely, the oscillating electron survival probabilities in experiments with neutrino detection by charged-current and…

High Energy Physics - Phenomenology · Physics 2018-05-09 Vadim O. Egorov , Igor P. Volobuev

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

We present one point of contact between the standard theory of neutrino oscillations and the alternative one, in which flavor neutrinos are described by states with definite masses. We show that both theories give the same results for…

High Energy Physics - Phenomenology · Physics 2009-09-29 Viliam Pazma , Julius Vanko , Juraj Chovan

We propose an explanation of the NuTeV anomaly in terms of oscillations of electron neutrinos into sterile neutrinos. We derive an approximate average transition probability P(nu_e->nu_s) = 0.21 +- 0.07, which is compatible with other…

High Energy Physics - Phenomenology · Physics 2007-05-23 C. Giunti , M. Laveder

Simultaneous treatment of neutrino oscillations and collisions in astrophysical environments requires the use of (quantum) kinetic equations. Despite major advances in the field of quantum kinetics, the structure of the kinetic equations…

High Energy Physics - Phenomenology · Physics 2020-01-27 Alexander Kartavtsev

We study neutrino oscillations in vacuum and in matter using field theoretical methods and wave-packets. In particular, we calculate the neutrino propagator in the presence of matter with constant density for the case of two flavors,…

High Energy Physics - Phenomenology · Physics 2007-05-23 Diego Pallin , Hakan Snellman

We study neutrino oscillations within the framework of extended theories of gravity. Based on the covariant reformulation of Pontecorvo formalism, we evaluate the oscillation probability of neutrinos propagating in static spacetimes…

General Relativity and Quantum Cosmology · Physics 2020-01-22 Luca Buoninfante , Giuseppe Gaetano Luciano , Luciano Petruzziello , Luca Smaldone

The formulation of the alternative theory of neutrino oscillations is presented. Also the application of that theory to a system of neutrinos produced by a source is formulated and some basic formulae are derived.

High Energy Physics - Phenomenology · Physics 2007-05-23 Viliam Pazma , Julius Vanko

We study the dynamics of active-sterile neutrino oscillations in the early universe using full momentum-dependent quantum-kinetic equations. These equations are too complicated to allow for an analytical treatment, and numerical solution is…

High Energy Physics - Phenomenology · Physics 2009-11-07 Kimmo Kainulainen , Antti Sorri

Exact analytical expressions in terms of generalized confluent hypergeometric functions for the transition amplitudes of neutrino oscillations in presence of matter are computed for an arbitrary number of species. The density of matter is…

High Energy Physics - Phenomenology · Physics 2011-07-19 Emilio Torrente-Lujan

In this paper we review different expansions for neutrino oscillation probabilities in matter in the context of long-baseline neutrino experiments. We examine the accuracy and computational efficiency of different exact and approximate…

High Energy Physics - Phenomenology · Physics 2019-03-14 Gabriela Barenboim , Peter B. Denton , Stephen J. Parke , Christoph A. Ternes

Neutrino oscillations in the early Universe prior to the epoch of primordial nucleosynthesis is studied by implementing real time non-equilibrium field theory methods. We focus on two flavors of Dirac neutrinos, however, the formulation is…

High Energy Physics - Phenomenology · Physics 2009-11-11 C. M. Ho , D. Boyanovsky , H. J. de Vega

A consistent description of neutrino oscillations requires either the quantum-mechanical (QM) wave packet approach or a quantum field theoretic (QFT) treatment. We compare these two approaches to neutrino oscillations and discuss the…

High Energy Physics - Phenomenology · Physics 2012-11-21 Evgeny Kh. Akhmedov , Joachim Kopp

Neutrinos propagate in astrophysical and cosmological environments modifying their flavor in intriguing ways. The study of neutrino propagation in media is based on the mean-field, extended mean-field and Boltzmann equations. We summarise…

Solar and Stellar Astrophysics · Physics 2015-10-21 Cristina Volpe
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