Treatment of neutrino oscillations without resort to weak eigenstates

Giunti, C.; Kim, C. W.; Lee, J. A.; Lee, U. W.

doi:10.1103/physrevd.48.4310

Cited by 163 publications

(252 citation statements)

References 12 publications

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“…(4.19) have been also obtained with wave packet treatments of neutrino oscillations in a quantum field theoretical framework in Refs. [36,39,18,10,32]. It is important to remark that the wave packet treatment of neutrino oscillations confirms the standard value in Eq.…”

Section: Stationary Beamsmentioning

confidence: 69%

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Coherence and Wave Packets in Neutrino Oscillations

Giunti

2004

Foundations of Physics Letters

111

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Section: Stationary Beamsmentioning

confidence: 69%

“…[37,38,24,34,22,33] in the framework of quantum mechanics and in Refs. [36,39,54,18,10,32] in the framework of quantum field theory allows to derive the neutrino oscillation probability from first principles in a consistent framework.…”

Section: No Source Of Waves Vibrates Indefinitelymentioning

confidence: 99%

Coherence and Wave Packets in Neutrino Oscillations

Giunti

2004

Foundations of Physics Letters

111

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“…Moreover, many treatments within the QFT framework were also proposed [15][16][17][18][19][20][21], aiming to solve the various unclear aspects of the quantum mechanics of neutrino oscillations [10,13].…”

Section: Introductionmentioning

confidence: 99%

First quantized approaches to neutrino oscillations and second quantization

Nishi¹

2006

Phys. Rev. D

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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 fermions and charged spin 0 bosons. A clear modification in the oscillation formulas can be obtained and its origin is elucidated and confirmed to be inevitable from completeness and causality requirements. The left-handed nature of created and detected neutrinos can also be implemented in the first quantized Dirac theory in the 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. Concerning second quantized approaches, it is shown in a calculation using virtual neutrino propagation that both neutrinos and antineutrinos may also contribute as intermediate particles. The sign of the contributing neutrino energy may have to be chosen explicitly without being automatic in the formalism. At last, a simple second quantized description of the flavor oscillation phenomenon is devised. In this description there is no interference terms between positive and negative components, but it still gives simple normalized oscillation probabilities. A new effect appearing in this context is an inevitable but tiny violation of the initial flavor of neutrinos. The probability loss due to the conversion of lefthanded neutrinos to right-handed neutrinos is also presented.

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“…The transition (oscillation) amplitude is then obtained by projecting the evolved emitted neutrino state onto the detection state. In the QFT treatment [1,[9][10][11][17][18][19][20][21][22][23][24][25][26], one considers neutrino production, propagation and detection as a single process, described by a tree-level Feynman diagram with the neutrino in the intermediate state (see figure 1). Neutrinos are represented in this framework by propagators rather than by wave functions.…”

Section: Jhep04(2010)008mentioning

confidence: 99%

Neutrino oscillations: quantum mechanics vs. quantum field theory

Akhmedov

Kopp

2010

J. High Energ. Phys.

101

104

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A consistent description of neutrino oscillations requires either the quantummechanical (QM) wave packet approach or a quantum field theoretic (QFT) treatment. We compare these two approaches to neutrino oscillations and discuss the correspondence between them. In particular, we derive expressions for the QM neutrino wave packets from QFT and relate the free parameters of the QM framework, in particular the effective momentum uncertainty of the neutrino state, to the more fundamental parameters of the QFT approach. We include in our discussion the possibilities that some of the neutrino's interaction partners are not detected, that the neutrino is produced in the decay of an unstable parent particle, and that the overlap of the wave packets of the particles involved in the neutrino production (or detection) process is not maximal. Finally, we demonstrate how the properly normalized oscillation probabilities can be obtained in the QFT framework without an ad hoc normalization procedure employed in the QM approach.

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Treatment of neutrino oscillations without resort to weak eigenstates

Cited by 163 publications

References 12 publications

Coherence and Wave Packets in Neutrino Oscillations

Coherence and Wave Packets in Neutrino Oscillations

First quantized approaches to neutrino oscillations and second quantization

Neutrino oscillations: quantum mechanics vs. quantum field theory

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