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We derive analytic expressions for three flavor neutrino oscillations in the presence of matter in the plane wave approximation using the Cayley-Hamilton formalism. Especially, we calculate the time evolution operator in both flavor and…

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

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

We present simple analytical approximations to matter-effect corrected effective neutrino mixing-angles and effective mass-squared-differences. The expressions clarify the dependence of oscillation probabilities in matter to the mixing…

High Energy Physics - Phenomenology · Physics 2007-05-23 Minako Honda , Yee Kao , Naotoshi Okamura , Tatsu Takeuchi

We consider three active flavor neutrino oscillations where both the mass-square differences play a role in atmospheric neutrino problem. We calculate the matter effects arising due to propagation through earth. We demonstrate that these…

High Energy Physics - Phenomenology · Physics 2009-11-07 Mohan Narayan , S. Uma Sankar , IIT Bombay

We study the system of massive and mixed neutrinos interacting with background matter moving with an acceleration. We start with the derivation of the Dirac equation for a single neutrino in the noninertial frame where matter is at rest. A…

High Energy Physics - Phenomenology · Physics 2016-08-10 Maxim Dvornikov

In this article, we investigate the entanglement entropy for neutrino oscillations when neutrino propogate in matter, utilising Von Neumann entropy. We discuss two flavour neutrino oscillation in vaccum and matter. We demonstrate…

High Energy Physics - Phenomenology · Physics 2026-05-21 Bipin Singh Koranga , Baktiar Wasir Farooq

If the three types of active neutrinos possess different maximum attainable velocities and the neutrino eigenstates in the velocity basis are different from those in the flavour (and mass) basis then this will induce a flavour oscillation…

High Energy Physics - Phenomenology · Physics 2014-11-04 Amit Dutta Banik , Debasish Majumdar

During a period of about two decades we have realized a programme of systematic investigations of different aspects of neutrino propagation in extreme external environments and have predicted and studied several new phenomena that are…

High Energy Physics - Phenomenology · Physics 2020-09-04 Alexander Studenikin

A brief review of a neutrino oscillations effect in an external magnetic field and matter currents is given. An ultra-relativistic neutrino propagation in moving external media is investigated. We have found a new spin operator which…

High Energy Physics - Phenomenology · Physics 2018-01-29 Artem Popov , Pavel Pustoshny , Alexander Studenikin

We present a general analysis of the effective potential for neutrino propagation in matter, assuming a generic set of Lorentz invariant non-derivative interactions. We find that in addition to the known vector and axial vector terms, in a…

High Energy Physics - Phenomenology · Physics 2016-08-25 Sven Bergmann , Yuval Grossman , Enrico Nardi

When neutrinos propagate in a background, their gravitational couplings are modified by their weak interactions with the particles in the background. In a medium that contains electrons but no muons or taons, the matter-induced…

High Energy Physics - Phenomenology · Physics 2010-12-03 H. Athar , Jose F. Nieves

The phenomenon of neutrino oscillation has been firmly established: neutrinos change their flavor in their path from their source to observers. This paper is dedicated to the description of experimental results in the oscillation field, of…

High Energy Physics - Experiment · Physics 2009-11-05 U. Dore , D. Orestano

We consider the Hamiltonian for neutrino oscillations in matter in the case of arbitrary potentials including off-diagonal complex terms. We derive the 'matter basis' Hamiltonian in terms of quantities one can derive from the flavor basis…

Solar and Stellar Astrophysics · Physics 2015-05-27 S. Galais , J. Kneller , C. Volpe

We quantify our current knowledge of the size and flavor structure of the matter effects in the evolution of atmospheric and long-baseline neutrinos based solely on the analysis of the corresponding neutrino data. To this aim we generalize…

High Energy Physics - Phenomenology · Physics 2011-05-23 M. C. Gonzalez-Garcia , Michele Maltoni , Jordi Salvado

Due to finite masses and mixing, for neutrinos propagation in space-time, there is a chiral oscillation between left- and right- chiral neutrinos, besides the usual oscillation between different generations. The probability of chiral…

High Energy Physics - Phenomenology · Physics 2024-06-13 Ming-Wei Li , Zhong-Lv Huang , Xiao-Gang He

This letter proposes an alternative quantum mechanical picture for the observed phenomena of neutrino oscillations. It is assumed in the following that neutrinos interact via diabatic (or localised) interactions with a new particle field,…

High Energy Physics - Phenomenology · Physics 2020-12-18 M. Bergevin

It is shown that Lorentz invariance implies that in general flavor neutrinos in oscillation experiments are superpositions of massive neutrinos with different energies and different momenta. It is also shown that for each process in which…

High Energy Physics - Phenomenology · Physics 2014-11-17 C. Giunti

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

After a brief history of two known types of neutrino mixing and oscillations, including neutrino spin and spin-flavour oscillations in the transversal magnetic field, we perform systematic study of a new phenomenon of neutrino spin and…

High Energy Physics - Phenomenology · Physics 2020-01-14 Pavel Pustoshny , Vadim Shakhov , Alexander Studenikin

We consider neutrino mixing and oscillations in presence of an arbitrary constant magnetic field with nonzero transversal $B_{\perp}$ and longitudinal $B_{\parallel}$ components with respect to the direction of neutrino propagation. The…

High Energy Physics - Phenomenology · Physics 2016-06-22 Riccardo Fabbricatore , Alexander Grigoriev , Alexander Studenikin