Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2010-01-27
JHEP 1004:008,2010
Physics
High Energy Physics
High Energy Physics - Phenomenology
LaTeX, 42 pages, 1 figure; v2: minor clarifications, matches published version
Scientific paper
10.1007/JHEP04(2010)008
A consistent description of neutrino oscillations requires either the quantum-mechanical (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.
Akhmedov Evgeny Kh.
Kopp Joachim
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