Neutrino oscillation probabilities through the looking glass

Understand

In this paper we review different expansions for neutrino oscillation probabilities in matter in the context of long-baseline neutrino experiments.

• We examine the accuracy and computational efficiency of different exact and approximate expressions.
• We find that many of the expressions used in the literature are not precise enough for the next generation of long-baseline experiments, but several of them are while maintaining comparable simplicity.
• The results of this paper can be used as guidance to both phenomenologists and experimentalists when implementing the various oscillation expressions into their analysis tools.