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Analytic approximations for three neutrino oscillation parameters and probabilities in matter

Analytic approximations for three neutrino oscillation parameters and probabilities in matter

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 $\dm{21}/\dm{31}$. The parameter mapping obtained is then used to find simple, but nevertheless accurate formulas for oscillation probabibilities in matter including CP-effects. Expressions with …