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We show that the neutrino oscillation formula recently derived in the quantum field theory framework holds true despite the arbitrariness in the mass parameter for the flavor fields. This formula is exact and exhibits new features with…

High Energy Physics - Phenomenology · Physics 2009-12-30 Massimo Blasone , Giuseppe Vitiello

We examine the general structure of the formulae of neutrino oscillations proposed by Blasone and Vitiello(BV). Reconstructing their formulae with the retarded propagators of the flavor neutrino fields for the case of many flavors, we can…

High Energy Physics - Phenomenology · Physics 2009-11-07 K. Fujii , C. Habe , T. Yabuki

By resorting to recent results on the relativistic currents for mixed (flavor) fields, we calculate a space-time dependent neutrino oscillation formula in Quantum Field Theory. Our formulation provides an alternative to existing approaches…

High Energy Physics - Phenomenology · Physics 2008-11-26 Massimo Blasone , Paulo Pires Pacheco , Hok Wan Chan Tseung

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

We review some of the main results of the quantum field theoretical approach to neutrino mixing and oscillations. We show that the quantum field theoretical framework, where flavor vacuum is defined, permits to give a precise definition of…

High Energy Physics - Theory · Physics 2021-11-24 Luca Smaldone , Giuseppe Vitiello

In a recent paper [arXiv:0901.0790], we showed that there is a neat geometric interpretation of two flavor neutrino oscillation formulae, and that the geometric phase involved in the physics of oscillations is restricted to be topological…

High Energy Physics - Phenomenology · Physics 2010-08-27 Poonam Mehta

We review the application of the relativistic quantum mechanics method for the description of neutrino oscillations for the studies of spin-flavor oscillations in background matter under the influence of a plane electromagnetic wave. Basing…

High Energy Physics - Phenomenology · Physics 2021-10-15 Maxim Dvornikov

We present a formalism for the flavor oscillation of unstable particles that relies only upon the structure of the time Fourier-transformed two-point Green's function. We derive exact oscillation probability and integrated oscillation…

High Energy Physics - Phenomenology · Physics 2012-09-26 Mario Martone , Dean J. Robinson

Recently, our work regarding the definition of oscillating neutrino states in Eur. Phys. J. C 80: 68 (2020), arxiv:1902.01232 [hep-ph] has been commented upon in arXiv:2004.04739 [hep-ph]. In this note we show that, contrary to the claim in…

High Energy Physics - Phenomenology · Physics 2020-05-06 Anca Tureanu

Flavor oscillations in elementary particle physics are related to multi-mode entanglement of single-particle states. We show that mode entanglement can be expressed in terms of flavor transition probabilities, and therefore that…

High Energy Physics - Phenomenology · Physics 2009-04-17 Massimo Blasone , Fabio Dell'Anno , Silvio De Siena , Fabrizio Illuminati

It is shown that the model of vacuum flavour oscillations is in disagreement with quantum mechanics theorems and postulates. Features of the model are analyzed. It is noted that apart from the number of mixed mass states neutrino…

General Physics · Physics 2023-07-19 Boris I. Goryachev

Neutrinos can undergo flavor--oscillations if they possess flavor--dependent couplings to the surrounding gravitational field (the VEP mechanism). The neutrino fields can be massless, in accord with the Minimal Standard Model, but at the…

High Energy Physics - Phenomenology · Physics 2007-05-23 J. R. Mureika , R. B. Mann

We study neutrino flavor oscillations using the approach based on the quantum field theory (QFT), where neutrinos are taken to be virtual particles. One deals with the propagators of neutrino mass eigenstates in this formalism. Previously,…

High Energy Physics - Phenomenology · Physics 2025-12-10 Maxim Dvornikov

We report about recent results on the Quantum Field Theory of neutrino mixing and oscillations. A discussion of the relevant observables for flavor fields is given, leading to oscillation formulas which exhibit corrections with respect to…

High Energy Physics - Phenomenology · Physics 2007-05-23 M. Blasone , P. Jizba , G. Vitiello

This paper reviews the similarities in the behavior of unstable particles and oscillating neutrinos using perturbation theory within the interaction picture of quantum field theory. We begin by examining how decaying systems are studied in…

High Energy Physics - Phenomenology · Physics 2024-06-11 M. Blasone , F. Giacosa , L. Smaldone , G. Torrieri

By resorting to recent results on the Quantum Field Theory of mixed particles, we discuss some aspects of three flavor neutrino mixing. Particular emphasis is given to the related algebraic structures and their deformation in the presence…

High Energy Physics - Phenomenology · Physics 2007-05-23 M. Blasone , A. Capolupo , G. Vitiello

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

Some theoretical aspects of 3-flavour (3f) neutrino oscillations are reviewed. These include: general properties of 3f oscillation probabilities; matter effects in \nu_\mu \leftrightarrow \nu_\tau oscillations; 3f effects in oscillations of…

High Energy Physics - Phenomenology · Physics 2009-11-10 Evgeny Akhmedov

We present NeutrinoOsc3Flavor, a lightweight and fully transparent computational framework for exact three flavor neutrino oscillation studies in vacuum and constant density matter. The code numerically solves the Schrodinger evolution…

High Energy Physics - Phenomenology · Physics 2026-02-04 Baktiar Wasir Farooq , Bipin Singh Koranga , Ansh Prasad , Imran Khan

We analyze phenomenological aspects of the quantum field theoretical formulation of meson mixing and obtain the exact oscillation formula in the presence of the decay. This formula is different from quantum mechanical formula by additional…

High Energy Physics - Phenomenology · Physics 2014-11-17 Antonio Capolupo , Chueng-Ryong Ji , Yuriy Mishchenko , Giuseppe Vitiello
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