Testing the wave packet approach to neutrino oscillations in future experiments

Kayser, Boris; Kopp, Joachim

doi:10.48550/arxiv.1005.4081

Cited by 13 publications

(21 citation statements)

References 29 publications

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“…The first one relies on a relativistic quantum mechanical (QM) formalism that does not predict the dispersion of the neutrino wave packet in momentum space, such as in Refs. [18,19,25]. The second one is based on calculations within quantum field theory (QFT), describing all external particles involved in neutrino production and detection as wave packets while treating neutrinos as virtual particles.…”

Section: Wave Packet Treatment Of Neutrino Oscillationmentioning

confidence: 99%

Study of the wave packet treatment of neutrino oscillation at Daya Bay

An¹,

Balantekin²,

Band³

et al. 2016

Preprint

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The disappearance of reactor νe observed by the Daya Bay experiment is examined in the framework of a model in which the neutrino is described by a wave packet with a relative intrinsic momentum dispersion σ rel . Three pairs of nuclear reactors and eight antineutrino detectors, each with good energy resolution, distributed among three experimental halls, supply a high-statistics sample of νe acquired at nine different baselines. This provides a unique platform to test the effects which arise from the wave packet treatment of neutrino oscillation. The modified survival probability formula was used to fit Daya Bay data, providing the first experimental limits: 2.38 • 10 −17 < σ rel < 0.23. Treating the dimensions of the reactor cores and detectors as constraints, the limits are improved: 10 −14 σ rel < 0.23, and an upper limit of σ rel < 0.20 is obtained. All limits correspond to a 95% C.L. Furthermore, the effect due to the wave packet nature of neutrino oscillation is found to be insignificant for reactor antineutrinos detected by the Daya Bay experiment thus ensuring an unbiased measurement of the oscillation parameters sin 2 2θ 13 and ∆m 2 32 within the plane wave model.

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Section: Wave Packet Treatment Of Neutrino Oscillationmentioning

confidence: 99%

Study of the wave packet treatment of neutrino oscillation at Daya Bay

An¹,

Balantekin²,

Band³

et al. 2016

Preprint

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show abstract

“…This is due to the different group velocities of neutrinos carrying different masses that causes a separation of their wave packets when they arrive at the detector. For a detailed discussion of this scenario, see [21][22][23][24][26][27][28][29].…”

Section: Intrinsic Wave Packet Decoherencementioning

confidence: 99%

“…Given the plethora of experimental results over a wide range of baselines and energies, it is evident that neutrinos exhibit coherence over very vast distance scales. It is of considerable interest to understand subtle aspects pertaining to the theory of neutrino oscillations and coherence properties of neutrinos [14][15][16][17][18][19][20][21][22][23][24][25][26][27][28][29][30].…”

Section: Introductionmentioning

confidence: 99%

“…Several scenarios can lead to damping of oscillations [31]. Damping effects in neutrino oscillations can originate from intrinsic decoherence in the wave packet treatment [21][22][23][24][26][27][28][29], invisible neutrino decay [32][33][34][35][36][37][38], neutrino absorption [39], oscillation into sterile neutrino [40,41] or via quantum decoherence [42][43][44][45][46][47][48][49][50][51][52][53][54][55][56][57][58][59].…”

Section: Introductionmentioning

confidence: 99%

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Investigating Leggett-Garg inequality in neutrino oscillations -- role of decoherence and decay

Shafaq¹,

Kushwaha²,

Mehta³

2021

Preprint

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Neutrinos, due to their weakly interacting nature, provide us with a unique opportunity to test foundations of quantum mechanics over macroscopic distances. There has been considerable theoretical and experimental interest in examining the extent of violation of Leggett-Garg inequalities (LGI) in the context of neutrino flavour oscillations. While it is established that neutrino oscillations occur due to mass and mixing among the three generations of neutrinos, sub-dominant effects due to physics beyond the Standard Model (SM) are not yet ruled out. As we are entering the precision era in neutrino physics, it is possible that some of these effects may leave an imprint on data. Thus, it is worthwhile to investigate different physics scenarios beyond the SM and study their impact on oscillation probabilities. In the present work, we invoke damping effects (including decoherence and decay) on oscillation probabilities and study their implications on the LGI.

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“…However, it is known that its usual derivation, which proceeds via Taylor expansion of the phases of neutrino mass eigenstates in the plane-wave basis, contains several theoretical inconsistencies and assumptions that are not realized in any experiment. Attempts to fix these inconsistencies have involved the introduction of internal wavepackets [3][4][5], the replacement of internal wave packets with external ones [6,7], field theoretical reformulations [7][8][9], and discussions of the role of the entangled muon in maintaining or suppressing coherence [8,[10][11][12][13][14]. Many of these approaches turn a poorly formulated quantum mechanical problem into a theoretically robust calculation, but often at the cost of introducing arbitrary spatial or temporal scales.…”

Section: Introductionmentioning

confidence: 99%

Dynamical pion collapse and the coherence of conventional neutrino beams

Jones

2015

Phys. Rev. D

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In this paper we consider the coherence properties of neutrinos produced by the decays of pions in conventional neutrino beams. Using a multi-particle density matrix formalism we derive the oscillation probability for neutrinos emitted by a decaying pion in an arbitrary quantum state. Then, using methods from decoherence theory we calculate the pion state which evolves through interaction with decay-pipe gases in a typical accelerator neutrino experiment. These two ingredients are used to obtain the distance scales for neutrino beam coherence loss. We find that for the known neutrino mass splittings, no non-standard oscillation effects are expected on terrestrial baselines. Heavy sterile neutrinos may experience terrestrial loss of coherence, and we calculate both the distance over which this occurs and the energy resolution required to observe the effect. By treating the pionmuon-neutrino-environment system quantum mechanically, neutrino beam coherence properties are obtained without assuming arbitrary spatial or temporal scales at the neutrino production vertex.

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Testing the wave packet approach to neutrino oscillations in future experiments

Cited by 13 publications

References 29 publications

Study of the wave packet treatment of neutrino oscillation at Daya Bay

Study of the wave packet treatment of neutrino oscillation at Daya Bay

Investigating Leggett-Garg inequality in neutrino oscillations -- role of decoherence and decay

Dynamical pion collapse and the coherence of conventional neutrino beams

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