Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2001-12-10
Phys.Lett. B532 (2002) 259-266
Physics
High Energy Physics
High Energy Physics - Phenomenology
9 pages, 6 figures, LaTeX. Final version to be published in Phys. Lett. B
Scientific paper
10.1016/S0370-2693(02)01580-0
In this paper, we investigate the effects of random fluctuations of the Earth matter density for long baselines on the neutrino oscillation transition probabilities. We especially identify relevant parameters characterizing the matter density noise and calculate their effects by averaging over statistical ensembles of a large number of matter density profiles. For energies and baselines appropriate to neutrino factories, absolute errors on the relevant appearance probabilities are at the level of $|\Delta P_{\alpha \beta}| \sim 10^{-4}$ (with perhaps $|\Delta P_{\mu e}|/P_{\mu e} \sim 1%$ for neutrinos), whereby a modest improvement in understanding of the geophysical data should render such effects unimportant.
Jacobsson Bjorn
Ohlsson Tommy
Snellman Hakan
Winter Walter
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