Flavor neutrino states for pedestrians

Blasone, Massimo; Smaldone, L. A.; Vitiello, Giuseppe

doi:10.1088/1742-6596/1275/1/012023

Cited by 11 publications

(9 citation statements)

References 59 publications

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“…Chiral oscillations in three-flavor neutrino mixing which includes both positive and negative energy states in the time evolution for mass eigenstates [6,7]. Such contributions are also obtained in a quantum field treatment of flavor oscillations [34][35][36], and the case in which V α,i = U α,i describe the mixing that does not differentiate between left and right-handed neutrino states. Finally, all the terms composing ( 19) are multiplied by the mass-to-energy ratio, and therefore are suppressed in relativistic dynamical regimes.…”

Section: Pos(corfu2021)065mentioning

confidence: 95%

Chiral oscillations in three-flavor neutrino mixing

Blasone¹,

Bittencourt²,

Bernardini³

2022

Proceedings of Corfu Summer Institute 2021 "School and Workshops on Elementary Particle Physics and Gravity" — PoS(CORFU2021)

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Massive particles whose dynamics are described by the free Dirac equation can oscillate between left and right-handed chiral states, undergoing chiral oscillations. The phenomenon is prominent for non-relativistic particles, and can yield a depletion on the expected measured flux of cosmic neutrinos and a modification of quantum correlations encoded in lepton-antineutrino pairs. In this context, the interplay between chiral and flavor oscillations plays an important role in the description of neutrino flavor dynamics. In this paper, we extend previous results and obtain flavor oscillation formulas including chiral oscillations for N flavor mixing. We consider the general case of mixing that can distinguish between left and right-handed states and derive the flavor oscillation probabilities for Dirac and Majorana neutrinos within the bispinor formalism. We show that, for three flavors, oscillation probabilities between chiral left and right-handed flavor states allows for distinguishing between Dirac and Majorana neutrinos in the presence of additional CP-violation Majorana phases. To summarize, our work addresses to phenomenologically accessible chiral oscillation effects on non-relativistic neutrino dynamics and on quantum correlations encoded in flavor states.

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Section: Pos(corfu2021)065mentioning

confidence: 95%

Chiral oscillations in three-flavor neutrino mixing

Blasone¹,

Bittencourt²,

Bernardini³

2022

Proceedings of Corfu Summer Institute 2021 "School and Workshops on Elementary Particle Physics and Gravity" — PoS(CORFU2021)

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“…On the very nature of neutrinos: the β -decay as a test bench G. G. Luciano representation for asymptotic neutrinos is still a vibrant subject of investigation [2,6,7,11,12,16,17,18]. Along this line, in the present work we have attempted to answer this question by studying the rôle of neutrino mixing in weak decay processes.…”

Section: Pos(corfu2019)033mentioning

confidence: 96%

On the very nature of neutrinos: the $\beta$-decay as a test bench

Luciano¹

2020

Proceedings of Corfu Summer Institute 2019 "School and Workshops on Elementary Particle Physics and Gravity" — PoS(CORFU2019)

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“…In fact, after some algebra we obtain that P S e→e (t) + B e (t) reproduces eq. ( 30) of [29] (see also [30]). In the quantum field framework, the corrections have a similar origin to the usual Dirac Zitterbewegung: the flavor ladder operator has contributions from both particle and antiparticle operators of the massive fields.…”

Section: Flavor Mixing and Chiral Oscillations In Non-relativistic Regimementioning

confidence: 98%

Chiral oscillations in the non-relativistic regime

2021

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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 Zitterbewegung, the trembling motion of free propagating particles. While not observable for particles in relativistic dynamical regimes, chiral oscillations become relevant when the particle’s rest energy is comparable to its momentum. In this paper, we quantify the effect of chiral oscillations on the non-relativistic evolution of a particle state described as a Dirac bispinor and specialize our results to describe the interplay between chiral and flavor oscillations of non-relativistic neutrinos: we compute the time-averaged survival probability and observe an energy-dependent depletion of the quantity when compared to the standard oscillation formula. In the non-relativistic regime, this depletion due to chiral oscillations can be as large as 40$$\%$$ % . Finally, we discuss the relevance of chiral oscillations in upcoming experiments which will probe the cosmic neutrino background.

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Flavor neutrino states for pedestrians

Cited by 11 publications

References 59 publications

Chiral oscillations in three-flavor neutrino mixing

Chiral oscillations in three-flavor neutrino mixing

On the very nature of neutrinos: the $\beta$-decay as a test bench

Chiral oscillations in the non-relativistic regime

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