Intrinsic flavor violation for massive neutrinos

Nishi, C. C.

doi:10.1103/physrevd.78.113007

Cited by 11 publications

(16 citation statements)

References 56 publications

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“…A similar assumption has been made in Ref. 17 where the decay π → µν e has been considered. In the following, when we use the expression "short time limit", we refer to the time scale defined above.…”

Section: Amplitudes In the Short Time Limitmentioning

confidence: 81%

“…This should be taken into account when comparing our results with the ones of Ref. 17 . However, the fact that the amplitude A W + →e + +νµ calculated with the exact flavor states vanishes is independent of the inclusion of the decay width in the calculation.…”

Section: Pontecorvo Statesmentioning

confidence: 86%

“…17 , where it has been shown that the processes such as π → µν e are possible with a branching ratio much greater than the loop induced processes as the one mentioned above. The conclusion of Ref.…”

mentioning

confidence: 99%

“…The conclusion of Ref. 17 was that an intrinsic flavor violation for massive neutrinos would be present in the Standard Model. We show that such a violation arises as a consequence of an incorrect choice for the (mixed) neutrino flavor states.…”

mentioning

confidence: 99%

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On Flavor Conservation in Weak Interaction Decays Involving Mixed Neutrinos

Blasone

Capolupo

et al. 2010

Int. J. Mod. Phys. A

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In the context of quantum field theory (QFT), we compute the amplitudes of weak interaction processes such as W + → e + + νe and W + → e + + νµ by using different representations of flavor states for mixed neutrinos. Analyzing the short time limit of the above amplitudes, we find that the neutrino states defined in QFT as eigenstates of the flavor charges lead to results consistent with lepton charge conservation. On the contrary, the Pontecorvo flavor states produce a violation of lepton charge in the vertex, which is in contrast with what expected at tree level in the Standard Model.

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Section: Amplitudes In the Short Time Limitmentioning

confidence: 81%

Section: Pontecorvo Statesmentioning

confidence: 86%

mentioning

confidence: 99%

mentioning

confidence: 99%

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On Flavor Conservation in Weak Interaction Decays Involving Mixed Neutrinos

Blasone

Capolupo

et al. 2010

Int. J. Mod. Phys. A

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“…which is unacceptable because it tells us that flavor is undefined even at t = 0 [61,68]. A similar paradox, which does not occur in the case of the exact oscillation formulas Eq.…”

Section: A the Pontecorvo Oscillation Formulamentioning

confidence: 99%

Neutrino mixing and oscillations in quantum field theory: a comprehensive introduction

Smaldone¹,

Vitiello²

2021

Preprint

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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 flavor states as eigenstates of (non-conserved) lepton charges. We obtain the exact oscillation formula which in the relativistic limit reproduces the Pontecorvo oscillation formula and illustrate some of the contradictions arising in the quantum mechanics approximation. We show that the gauge theory structure underlies the neutrino mixing phenomenon and that there exist entanglement between mixed neutrinos. The flavor vacuum is found to be an entangled generalized coherent state of SU (2). We also discuss flavor energy uncertainty relations, which imposes a lower bound on the precision of neutrino energy measurements and we show that the flavor vacuum inescapably emerges in certain classes of models with dynamical symmetry breaking.

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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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Intrinsic flavor violation for massive neutrinos

Cited by 11 publications

References 56 publications

On Flavor Conservation in Weak Interaction Decays Involving Mixed Neutrinos

On Flavor Conservation in Weak Interaction Decays Involving Mixed Neutrinos

Neutrino mixing and oscillations in quantum field theory: a comprehensive introduction

Quantum flavor oscillations extended to the Dirac theory

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