Transition probability of perturbative form for numu -> nue oscillations in matter of constant density

Abstract

We give a convenient expression for the appearance probability P(numu -> nue) describing neutrino oscillations in matter of constant density, derived using textbook quantum mechanics stratagems. Our formulation retains the clarity of an expansion in alpha = Delta m212/Delta m312 exhibited by the popular Cervera et al. formula [Nucl. Phys. B 579, 17 (2000)] while enabling more accurate evaluation of oscillations over terrestrial baselines.

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