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Related papers: Three Neutrino Oscillations in Uniform Matter

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We investigate neutrino oscillations in constant matter within the context of the standard three neutrino scenario. We derive an exact and simple formula for the oscillation probability applicable to all channels. In the standard…

High Energy Physics - Phenomenology · Physics 2009-11-07 Keiichi Kimura , Akira Takamura , Hidekazu Yokomakura

We consider neutrino oscillations in non-uniform matter in a quantum field theoretic (QFT) approach, in which neutrino production, propagation and detection are considered as a single process. We find the conditions under which the…

High Energy Physics - Phenomenology · Physics 2015-06-05 Evgeny Kh. Akhmedov , Alina Wilhelm

Solar and atmospheric neutrino anomalies are described by bimaximal mixing of three neutrinos. Neutrino oscillations in appearance nu_e <--> nu_mu,nu_tau and in disappearance nu_e long baseline and atmospheric experiments are sensitive to…

High Energy Physics - Phenomenology · Physics 2009-10-31 M. Jezabek , Y. Sumino

Analytic formulas are presented for three flavor neutrino oscillations in matter in the plane wave approximation. We calculate in particular the time evolution operator in both mass and flavor bases. We also find the transition…

High Energy Physics - Phenomenology · Physics 2009-10-31 Tommy Ohlsson , Hakan Snellman

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

We study the oscillations and conversions of relativistic neutrinos propagating in matter of variable density using the wave packet formalism. We show how the oscillation and coherence lengths are modified in comparison with the case of…

High Energy Physics - Phenomenology · Physics 2011-07-19 J. T. Peltoniemi , V. Sipilainen

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

The three active light neutrinos are used to explain the neutrino oscillations. The inherently bi-large mixing neutrino mass matrix and the Fritzsch type, bi-small mixing charged lepton mass matrix are assumed. By requiring the maximal…

High Energy Physics - Phenomenology · Physics 2014-11-17 Chun Liu , Jeonghyeon Song

The neutrino oscillations in the field of a rotating deformed mass is investigated. The phase shift is evaluated in the case of weak field limit, slow rotation and small deformation. To this aim the Hartle-Thorne metric is used, which is an…

General Relativity and Quantum Cosmology · Physics 2015-06-04 Andrea Geralico , Orlando Luongo

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

Understanding neutrino oscillations in matter requires a non-trivial diagonalization of the Hamiltonian. As the exact solution is very complicated, many approximation schemes have been pursued. Here we show that one scheme, systematically…

High Energy Physics - Phenomenology · Physics 2020-07-09 Peter B. Denton , Stephen J. Parke , Xining Zhang

Neutrino oscillation phenomenon is a definite evidence of physics beyond the Standard Model (SM) and high precision measurement of neutrino properties will certainly give us clue about what lies beyond the SM. In particular, precise…

High Energy Physics - Phenomenology · Physics 2023-06-01 Chee Sheng Fong

We study neutrino oscillations in a medium of dark matter which generalizes the standard matter effect. A general formula is derived to describe the effect of various mediums and their mediators to neutrinos. Neutrinos and anti-neutrinos…

High Energy Physics - Phenomenology · Physics 2019-10-08 Ki-Young Choi , Eung Jin Chun , Jongkuk Kim

We argue that the neutrino oscillation probabilities in matter are best understood by allowing the mixing angles and mass-squared differences in the standard parametrization to `run' with the matter effect parameter $a=2\sqrt{2}G_F N_e E$,…

High Energy Physics - Phenomenology · Physics 2014-09-29 Sanjib Kumar Agarwalla , Yee Kao , Tatsu Takeuchi

Within the framework of the standard three neutrino scenario, we derive an exact and simple formula of the oscillation probability $P(\nu_e \to \nu_{\mu})$ in constant matter by using a new method. From this formula, it is found that the…

High Energy Physics - Phenomenology · Physics 2009-11-07 K. Kimura , A. Takamura , H. Yokomakura

We propose a modification of the electroweak theory, where the fermions with the same electroweak quantum numbers are combined in multiplets and are treated as different quantum states of a single particle. The developed approach enables…

High Energy Physics - Phenomenology · Physics 2019-06-25 A. E. Lobanov

Using an algebraic formulation, we explore two well-known degeneracies involving the mass-squared differences for three-neutrino oscillations assuming CP symmetry is conserved. For vacuum oscillation, we derive the expression for the mixing…

Nuclear Theory · Physics 2009-11-10 D. C. Latimer , D. J. Ernst

The matter-enhanced oscillations of two neutrino flavors are studied using a uniform semiclassical approximation. Unlike some analytic studies which have focused on certain exactly-solvable densities, this method can be used for an…

High Energy Physics - Phenomenology · Physics 2009-10-28 A. B. Balantekin , J. F. Beacom

The basics of neutrino oscillations is presented. Existing evidences of neutrino oscillations, obtained in the atmospheric and solar neutrino experiments, are considered. The new CHOOZ bound on the element $|U_{e3}|^{2}$, obtained from the…

High Energy Physics - Phenomenology · Physics 2007-05-23 S. M. Bilenky

Neutrino flavour transmutations in nonuniform matter are described by a Schr\"{o}dinger-like evolution equation with coordinate-dependent potential. In all the derivations of this equation it is assumed that the potential, which is due to…

High Energy Physics - Phenomenology · Physics 2021-03-17 Evgeny Akhmedov