Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2005-11-03
Phys.Rev. D72 (2005) 097301
Physics
High Energy Physics
High Energy Physics - Phenomenology
7 pages, 1 figure, to appear in Phys. Rev. D
Scientific paper
10.1103/PhysRevD.72.097301
That muon neutrinos $\nu_{\mu}$ oscillating into the mixture of tau neutrinos $\nu_{\tau}$ and sterile neutrinos $\nu_{s}$ has been studied to explain the atmospheric $\nu_{\mu}$ disappearance. In this scenario, the effect of Earth matter is a key to determine the fraction of $\nu_{s}$. Considering that the Earth matter density has uncertainty and this uncertainty has significant effects in some neutrino oscillation cases, such as the CP violation in very long baseline neutrino oscillations and the day-night asymmetry for solar neutrinos, we study the effects caused by this uncertainty in the above atmospheric $\nu_{\mu}$ oscillation scenario. We find that this uncertainty seems to have no significant effects and that the previous fitting results need not to be modified fortunately.
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