## Abstract

An approximation that is often used in fits to reactor and atmospheric neutrino data and in some theoretical studies is to assume one dominant scale, Δm^{2}, of neutrino mass squared differences, in particular, Δm_{atm} ^{2} ∼ 3 × 10^{-3} eV^{2}. Here we investigate the corrections to this approximation arising from the quantity Δm_{sol} ^{2} relevant for solar neutrino oscillations, assuming the large mixing angle solution. We show that for values of sin^{2}(2θ_{13}) ∼ 10^{-2} (in the range of interest for long-baseline neutrino oscillation experiments with either intense conventional neutrino beams such as JHF-SuperK or a possible future neutrino factory) and for Δm_{sol} ^{2} ∼ 10^{-4} eV^{2}, the contributions to v_{μ} → v_{e} oscillations from both CP-conserving and CP-violating terms involving sin^{2}(Δm_{sol} ^{2}L/(4E)) can be comparable to the terms involving sin^{2}(Δm_{atm} ^{2}L/(4E)) retained in the one-Δm^{2} approximation. Accordingly, we emphasize the importance of performing a full three-flavor, two-Δm^{2} analysis of the data on v_{μ} → v_{e} oscillations in a conventional-beam experiment and v_{e} → v_{μ}, v_{e} → v_{μ} oscillations at a neutrino factory. We also discuss a generalized analysis method for the KamLAND reactor experiment, and note how the information from this experiment can be used to facilitate the analysis of the subsequent data on v_{μ} → v_{e} oscillations. Finally, we consider the analysis of atmospheric neutrino data and present calculations of matter effects in a three-flavor, two-Δm^{2} framework relevant to this data and to neutrino factory measurements.

Original language | English (US) |
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Pages (from-to) | XL-28 |

Journal | Journal of High Energy Physics |

Volume | 5 |

Issue number | 11 |

DOIs | |

State | Published - 2001 |

## All Science Journal Classification (ASJC) codes

- Nuclear and High Energy Physics