PT Journal AU Barenboim, G Denton, PB Parke, SJ Ternes, CA TI Neutrino oscillation probabilities through the looking glass SO Physics Letters B JI Phys. Lett. B PY 2019 BP 351 EP 360 VL 791 DI 10.1016/j.physletb.2019.03.002 LA English DE Neutrino physics; Neutrino oscillations in matter AB 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. ER