Analytic approximations for three neutrino oscillation parameters and probabilities in matter
Year: 2001
Type: article
Abstract: The corrections to neutrino mixing parameters in the presence of matter of constant density are calculated systematically as series expansions in terms of the mass hierarchy $\ensuremath{\Delta}{m}_{21}^{2}/\ensuremath{\Delta}{m}_{31}^{2}.$ The parameter mapping obtained is then used to find simple, but nevertheless accurate formulas for oscillation probabilities in matter including $\mathrm{CP}$ effects. Expressions with one to one correspondence to the vacuum case are derived, which are valid for neutrino energies above the solar resonance energy. Two applications are given to show that these results are a useful and powerful tool for analytical studies of neutrino beams passing through the Earth mantle or core: First, the ``disentanglement problem'' of matter and $\mathrm{CP}$ effects in $\mathrm{CP}$ asymmetry is discussed and second, estimations of the statistical sensitivity to the $\mathrm{CP}$ terms of the oscillation probabilities in neutrino factory experiments are presented.
Author: Martin Freund
Institution: Technical University of Munich
Language: English
Topic: Neutrino Physics Research
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2074100139