Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
1998-02-10
Phys.Lett. B433 (1998) 82-87
Physics
High Energy Physics
High Energy Physics - Phenomenology
16 pages, 8 figures, Latex; numerical error for one of the cases considered is corrected; conclusions are unchanged
Scientific paper
Neutrino oscillation scenarios involving large angle $\nu_{\mu} \to \nu_e$ oscillations are disfavoured in the parameter range $\Delta m^2/eV^2 >~ 10^{-3}$ by recent results from the CHOOZ reactor-based $\bar{\nu}_e$ disappearance experiment. For this reason we extend our previous work on up-down asymmetries for various oscillation scenarios by computing up-down asymmetries and the R ratio for the entire conceivable range $10^{-4} - 10^{-1} eV^2$ of $\Delta m^2$. Matter effects in the Earth play a crucial role. We perform a $\chi^2$ fit to the data. We find that, because of the matter effect, the three-flavour maximal mixing model provides a reasonable fit to SuperKamiokande and CHOOZ data provided that the relevant $\Delta m^2$ is in the range $4 \times 10^{-4} ~< \Delta m^2/eV^2 ~< 1.5 \times 10^{-3}$.
Foot Robert
Volkas Raymond R.
Yasuda Osamu
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