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We report about recent results on Dirac wave packets in the treatment of neutrino flavor oscillation where the initial localization of a spinor state implies an interference between positive and negative energy components of mass-eigenstate…

High Energy Physics - Phenomenology · Physics 2009-11-11 Alex E. Bernardini , Stefano De Leo

By reporting to the Dirac wave-packet prescription where it is formally assumed the {\em fermionic} nature of the particles, we shall demonstrate that chiral oscillations implicitly aggregated to the interference between positive and…

High Energy Physics - Theory · Physics 2011-09-13 Alex E. Bernardini

Massive fermions produced through weak charged interactions possess a definite chirality, which is not conserved during free propagation, leading to chiral oscillations. Neutrinos also exhibit flavor oscillations. These phenomena have been…

High Energy Physics - Phenomenology · Physics 2025-07-15 Massimo Blasone , Gennaro Zanfardino

Neutrino oscillations are treated from the point of view of relativistic first quantized theories and compared to second quantized treatments. Within first quantized theories, general oscillation probabilities can be found for Dirac…

High Energy Physics - Phenomenology · Physics 2009-11-11 C. C. Nishi

Dirac particles have two intrinsic degrees-of-freedom, helicity and chirality. While helicity is conserved in time, chirality is not constant under time evolution for massive particles, yielding the phenomenon of chiral oscillations. So…

High Energy Physics - Phenomenology · Physics 2024-08-30 Victor Bittencourt , Massimo Blasone , Gennaro Zanfardino

In addition to flavor oscillations, Dirac neutrinos also undergo the so-called chiral oscillations, a consequence of the free-particle dynamics under the Dirac equation. Such a transition between different chiralities affect the flavor…

Quantum Physics · Physics 2024-11-13 Victor Bittencourt , Massimo Blasone , Gennaro Zanfardino

We report on recent results showing that a rich non-perturbative vacuum structure is associated with flavor mixing in Quantum Field Theory. We treat explicitly the case of mixing among three generations of Dirac fermions. Exact oscillation…

High Energy Physics - Theory · Physics 2017-08-23 M. Blasone , A. Capolupo , G. Vitiello

Spin-flavor oscillations of Dirac neutrinos in matter and a magnetic field are studied using the method of relativistic quantum mechanics. Using the exact solution of the wave equation for a massive neutrino, taking into account external…

High Energy Physics - Phenomenology · Physics 2012-02-13 Maxim Dvornikov

Massive Dirac particles are a superposition of left and right chiral components. Since chirality is not a conserved quantity, the free Dirac Hamiltonian evolution induces chiral quantum oscillations, a phenomenon related to the…

High Energy Physics - Phenomenology · Physics 2021-05-26 Victor A. S. V. Bittencourt , Alex E. Bernardini , Massimo Blasone

In vacuum the ``chiral neutrino oscillations'', i.e. the periodic transitions between the left- and right-handed states do not occur. The produced state differs from the chiral component that appear in the Lagrangian of interactions and…

High Energy Physics - Phenomenology · Physics 2025-10-03 A. Yu. Smirnov

Chiral oscillation as well as spin flipping effects correspond to quantum phenomena of fundamental importance in the context of particle physics and, in particular, of neutrino physics. From the point of view of first quantized theories, we…

High Energy Physics - Phenomenology · Physics 2013-01-07 Alex E. Bernardini

Most of the free parameters in the Standard Model (SM) -- a quantum field theory which has successfully elucidated the behaviors of strong, weak and electromagnetic interactions of all the known fundamental particles, come from the lepton…

High Energy Physics - Phenomenology · Physics 2020-05-20 Zhi-zhong Xing

In the standard treatment of particle oscillations the mass eigenstates are implicitly assumed to be scalars and, consequently, the spinorial form of neutrino wave functions is not included in the calculations. To analyze this additional…

High Energy Physics - Phenomenology · Physics 2011-09-13 Alex E. Bernardini , Stefano De Leo

Neutrino flavor oscillations are discussed in terms of two coupled Dirac fields. The interacting Lagrangian is diagonalized to obtain the exact eigenvalues and eigenfunctions. Flavor wave functions are then derived directly from the…

High Energy Physics - Phenomenology · Physics 2008-02-03 Elisabetta Sassaroli

The fermion mixing transformations are studied in the quantum field theory framework. In particular neutrino mixing is considered and the Fock space of definite flavor states is shown to be unitarily inequivalent to the Fock space of…

High Energy Physics - Phenomenology · Physics 2010-11-01 M. Blasone , G. Vitiello

Neutrino mixing is caused by the fact that neutrino flavors are not eigenstates of the free Hamiltonian. This causes oscillations among different neutrino flavors. When neutrinos pass through a medium, weak interactions produce different…

High Energy Physics - Phenomenology · Physics 2023-07-18 Riya Barick , Indrajit Ghose , Amitabha Lahiri

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

We shall proceed with the construction of normalizable Dirac wave packets for {\em fermionic} particles (neutrinos) with dynamics governed by a ``modified'' Dirac equation with a non-minimal coupling with an external magnetic field. We are…

High Energy Physics - Phenomenology · Physics 2009-11-10 Alex E. Bernardini

We proceed with the construction of normalizable Dirac wave packets for treating chiral oscillations in the presence of an external magnetic field. Both chirality and helicity quantum numbers correspond to variables of fundamental…

High Energy Physics - Theory · Physics 2009-11-10 Alex E. Bernardini

We investigate neutrino flavor oscillations in vacuum within a general conformal coupling model. We first examine the flavor oscillations within the plane-wave description of neutrinos, and then we extend our analysis to the…

High Energy Physics - Phenomenology · Physics 2022-09-28 Fayçal Hammad , Parvaneh Sadeghi , Nicolas Fleury
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