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  Neutrino production coherence and oscillation experiments

Akhmedov, E., Hernandez, D., & Smirnov, A. Y. (2012). Neutrino production coherence and oscillation experiments. Journal of high energy physics: JHEP, 04: 052, pp. 1-37. Retrieved from http://arxiv.org/abs/1201.4128.

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1201.4128 (Preprint), 4KB
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1201.4128
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 Creators:
Akhmedov, Evgeny1, Author           
Hernandez, D., Author
Smirnov, A. Y.1, Author           
Affiliations:
1Division Prof. Dr. Manfred Lindner, MPI for Nuclear Physics, Max Planck Society, ou_904549              

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Free keywords: High Energy Physics - Phenomenology, hep-ph, Astrophysics, Solar and Stellar Astrophysics, astro-ph.SR,High Energy Physics - Experiment, hep-ex
 Abstract: Neutrino oscillations are only observable when the neutrino production, propagation and detection coherence conditions are satisfied. In this paper we consider in detail neutrino production coherence, taking \pi\to \mu \nu \ decay as an example. We compare the oscillation probabilities obtained in two different ways: (1) coherent summation of the amplitudes of neutrino production at different points along the trajectory of the parent pion; (2) averaging of the standard oscillation probability over the neutrino production coordinate in the source. We demonstrate that the results of these two different approaches exactly coincide, provided that the parent pion is considered as pointlike and the detection process is perfectly localized. In this case the standard averaging of the oscillation probability over the finite spatial extensions of the neutrino source (and detector) properly takes possible decoherence effects into account. We analyze the reason for this equivalence of the two approaches and demonstrate that for pion wave packets of finite width \sigma_{x\pi} the equivalence is broken. The leading order correction to the oscillation probability due to \sigma_{x\pi}\ne 0 is shown to be \sim [v_g/(v_g-v_\pi)]\sigma_{x\pi}/l_{osc}, where v_g and v_\pi \ are the group velocities of the neutrino and pion wave packets, and l_{osc} is the neutrino oscillation length.

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Language(s): eng - English
 Dates: 2012-04-11
 Publication Status: Published online
 Pages: LaTeX, 40 pages, 4 figures. v2: minor typos corrected
 Publishing info: -
 Table of Contents: -
 Rev. Type: -
 Identifiers: arXiv: 1201.4128
URI: http://arxiv.org/abs/1201.4128
 Degree: -

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Title: Journal of high energy physics : JHEP
Source Genre: Journal
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Publ. Info: Bologna, Italy : Società italiana di fisica
Pages: - Volume / Issue: 04 Sequence Number: 052 Start / End Page: 1 - 37 Identifier: ISSN: 1126-6708
CoNE: https://pure.mpg.de/cone/journals/resource/111021927548002