Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
1996-03-28
Phys.Rev. D54 (1996) 3414-3419
Physics
High Energy Physics
High Energy Physics - Phenomenology
12 pages, pure LaTeX file, no figures
Scientific paper
10.1103/PhysRevD.54.3414
We study the conditions for neutrino oscillations in a field theoretical approach by taking into account that only the neutrino production and detection processes, which are localized in space around the coordinates $\vec{x}_P$ and $\vec{x}_D$, respectively, can be manipulated. In this sense the neutrinos whose oscillations are investigated appear as virtual lines connecting production with detection in the total Feynman graph and all neutrino fields or states to be found in the discussion are mass eigenfields or eigenstates. We perform a thorough examination of the integral over the spatial components of the inner neutrino momentum and show that in the asymptotic limit $L=|\vec{x}_D - \vec{x}_P| \rightarrow \infty$ the virtual neutrinos become ``real'' and under certain conditions the usual picture of neutrino oscillations emerges without ambiguities.
Grimus Walter
Stockinger Peter
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