Neutrino oscillations and the effect of the finite lifetime of the neutrino source

Grimus, Walter; Mohanty, Sanghamitra; Stockinger, Peter

doi:10.1103/physrevd.61.033001

Cited by 47 publications

(71 citation statements)

References 18 publications

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“…The case of decay at rest has been studied in detail with the Wigner-Weisskopf approximation in Ref. [17], while the treatment of decay in flight [28] is still unsatisfactory. Unstable neutrinos have been studied in Ref.…”

Section: Resultsmentioning

confidence: 99%

“…They are very similar to the external wave packet models, except that the wave packets are replaced by states with a well-defined energy, i.e. stationary states [15,16,17,18,19]. The third category groups models where the neutrino is represented by its propagator and coupled at production with a source, though not coupled at detection with anything [20,21].…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Towards a unique formula for neutrino oscillations in vacuum

Beuthe

2002

Phys. Rev. D

114

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We show that all correct results obtained by applying quantum field theory to neutrino oscillations can be understood in terms of a single oscillation formula. In particular, the model proposed by Grimus and Stockinger is shown to be a subcase of the model proposed by Giunti, Kim and Lee, while the new oscillation formulas proposed by Ioannisian and Pilaftsis and by Shtanov are disproved. We derive an oscillation formula without making any relativistic assumption and taking into account the dispersion, so that the result is valid for both neutrinos and mesons. This unification gives a stronger phenomenological basis to the neutrino oscillation formula. We also prove that the coherence length can be increased without bound by more accurate energy measurements. Finally, we insist on the wave packet interpretation of the quantum field treatment of oscillations.

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Section: Resultsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Towards a unique formula for neutrino oscillations in vacuum

Beuthe

2002

Phys. Rev. D

114

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“…Nowdays the theory of neutrino oscillations is rather well established in both relativistic quantum mechanics and within the framework of quantum field theory [3][4][5][6][7][8][9][10][11][12][13].…”

Section: Introductionmentioning

confidence: 99%

Recent results from Daya Bay experiment

Naumov¹

2015

EPJ Web of Conferences

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“…) is sufficiently larger than the wave packet width which simply says that the wave packet must not extend as wide as the oscillation length, otherwise the oscillations are washed out [12,18,24].…”

Section: Wave Packets With Second-order Correctionsmentioning

confidence: 99%

Second-order corrections to neutrino two-flavor oscillation parameters in the wave packet approach

2006

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We report about an analytic study involving the intermediate wave packet formalism for quantifying the physically relevant information which appear in the neutrino two-flavor conversion formula and help us to obtain more precise limits and ranges for neutrino flavor oscillation. By following the sequence of analytic approximations where we assume a strictly peaked momentum distribution and consider the second-order corrections in a power series expansion of the energy, we point out a residual time-dependent phase which, coupled with the spreading/slippage effects, can subtly modify the neutrino oscillation parameters and limits. Such second-order effects are usually ignored in the relativistic wave packet treatment, but they present an evident dependence on the propagation regime so that some small modifications to the oscillation pattern, even in the ultra-relativistic limit, can be quantified. These modifications are implemented in the confront with the neutrino oscillation parameter range (mass-squared difference ∆m 2 and the mixing-angle θ) where we assume the same wave packet parameters previously noticed in the literature in a kind of toy model for some reactor experiments. Generically speaking, our analysis parallels the recent experimental purposes which concern with higher precision parameter measurements. To summarize, we show that the effectiveness of a more accurate determination of ∆m 2 and θ depends on the wave packet width a and on the averaged propagating energy fluxĒ which still correspond to open variables for some classes of experiments.

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Neutrino oscillations and the effect of the finite lifetime of the neutrino source

Cited by 47 publications

References 18 publications

Towards a unique formula for neutrino oscillations in vacuum

Towards a unique formula for neutrino oscillations in vacuum

Recent results from Daya Bay experiment

Second-order corrections to neutrino two-flavor oscillation parameters in the wave packet approach

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