Neutrino oscillations from relativistic flavor currents

Blasone, Massimo; Pacheco, Paulo Pires; Tseung, H. Wan Chan

doi:10.1103/physrevd.67.073011

Cited by 49 publications

(87 citation statements)

References 43 publications

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“…On the other hand, a general oscillation formula with space-time dependence has been obtained in Ref. [11] in terms of expectation values of the flavor currents on the flavor neutrino states, exhibiting the corrections due to the flavor vacuum. In the following, we show in an explicit way how calculations can be performed with interacting fields on the flavor Hilbert space.…”

Section: Expectation Value Of Neutrino Lepton Charge In the One Pmentioning

confidence: 99%

“…[11] giving the space dependent oscillation formula, except for the fact that the pion state rather than the neutrino state is represented by a wave packet. The final expression ensuing the formula (69) is too lengthy to be discussed at this stage.…”

Section: Evaluation Of Terms Likementioning

confidence: 99%

“…Indeed their expectation values in the flavor state (see Eq. (26) below) give the oscillation formulas [2,7,[10][11][12]. Particular attention has to be paid now to the normal ordering issue.…”

Section: Introductionmentioning

confidence: 99%

“…In the context of Quantum Field Theory (QFT) a rich non-perturbative vacuum structure associated with the mixing of fermion and boson fields has been revealed [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15] and the exact formulas for fermion and boson field oscillations [2,7,[10][11][12] are now established. In particular, in a full QFT treatment particle mixing exhibits new features with respect to the usual formulae in Quantum Mechanics QM [16].…”

Section: Introductionmentioning

confidence: 99%

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Lepton charge and neutrino mixing in pion decay processes

et al. 2005

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Section: Expectation Value Of Neutrino Lepton Charge In the One Pmentioning

confidence: 99%

Section: Evaluation Of Terms Likementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Lepton charge and neutrino mixing in pion decay processes

et al. 2005

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“…The matter is far from pedantic and corrections to the usual formula for neutrino oscillations arise [21]. Flavor states constructed in this way are eigenstates of the flavor charge and the momentum operators but are not eigenstates of the Hamiltonian [21][22][23][24][25][26]. Nonetheless one can compute the expectation value of the Hamiltonian H on the flavor states and define from it dispersion relations.…”

Section: Introductionmentioning

confidence: 99%

Neutrino Oscillations and Superluminal Propagation, in OPERA or Otherwise

Magueijo¹

2013

JMP

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We digress on the implications of recent claims of superluminal neutrino propagation. No matter how we turn it around such behaviour is very odd and sits uncomfortably even within "far-fetched" theories. In the context of non-linear realizations of the Lorentz group (where superluminal misbehaviour is run of the mill) one has to accept rather contrived constructions to predict superluminal properties for the neutrino. The simplest explanation is to require that at least one of the mass states be tachyonic. We show that due to neutrino mixing, the flavor energy does not suffer from the usual runaway pathologies of tachyons. For non-tachyonic mass states the theories become more speculative. A neutrino specific dispersion relation is exhibited, rendering the amplitude of the effect reasonable for a standard Planck energy. This uses the fact that the beam energy is close to the geometrical average of the neutrino and Planck mass; or, seen in another way, the beam energy is unexceptional but its gamma factor is very large. A dispersion relation crossing over from a low energy bradyonic branch to a high energy tachyonic one is also considered. We comment on consistency with SN 1987A within these models.

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Quantum flavor oscillations extended to the Dirac theory

Bernardini

Guzzo²,

Nishi

2011

Fortschritte der Physik

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This report deals with the quantum theory of flavor oscillations in vacuum, extended to fermionic particles in the several subtle aspects of the first and second quantization theories. In this scenario, the use of the Dirac equation is required for a satisfactory evolution of fermionic mass-eigenstates since in the standard treatment of 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. Within first quantized theories, besides flavor oscillations, chiral oscillations automatically appear when we set the dynamic equations for a fermionic Dirac-type particle. The left-handed chiral nature of created and detected neutrinos can be implemented in the first quantized Dirac theory in presence of mixing; the probability loss due to the changing of initially left-handed neutrinos to the undetected right-handed neutrinos can be obtained in analytic form. In the context of a causal relativistic theory of a free particle, one of the two effects should be present in flavor oscillations: (a) rapid oscillations or (b) initial flavor violation. Concerning second quantized approaches, a simple second quantized treatment exhibits a tiny but inevitable initial flavor violation without the possibility of rapid oscillations. Such effect is a consequence of an intrinsically indefinite but approximately well defined neutrino flavor. The violation effects are shown to be much larger than loop induced lepton flavor violation processes, already present in the standard model in the presence of massive neutrinos with mixing. The conclusions of this report lead to lessons concerning flavor mixing, chiral oscillations, interference between positive and negative frequency components of Dirac equation solutions, and the field formulation of quantum oscillations.Comment: 116 pages, 10 figures (The abstract was suppressed due to online title limitations of the abstract field. See the manuscript for obtaining the complete abstract

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Neutrino oscillations from relativistic flavor currents

Cited by 49 publications

References 43 publications

Lepton charge and neutrino mixing in pion decay processes

Lepton charge and neutrino mixing in pion decay processes

Neutrino Oscillations and Superluminal Propagation, in OPERA or Otherwise

Quantum flavor oscillations extended to the Dirac theory

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