In the Minimal Supersymmetric Standard Model with bilinear R-parityviolation, only one neutrino eigenstate acquires a mass at tree level,consequently experimental data on neutrinos cannot be accommodated at treelevel. We show that in the Next-to-Minimal extension, where a gauge singletsuperfield is added to primarily address the so-called $\mu$-problem, it ispossible to generate two massive neutrino states at tree level. Hence, theglobal three-flavour neutrino data can be reproduced at tree level, withoutappealing to loop dynamics which is vulnerable to model-dependentuncertainties. We give analytical expressions for the neutrino mass eigenvaluesand present examples of realistic parameter choices.
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机译：在具有双线性R-parityviolation的最小超对称标准模型中，只有一个中微子本征态在树级别获得质量，因此在树级别无法容纳有关中微子的实验数据。我们表明，在“下一个到最小”扩展中，其中添加了计量单重超场以主要解决所谓的“ \ mu $”问题，有可能在树级别生成两个庞大的中微子状态。因此，可以在树级别上再现全局三味中微子数据，而无需诉诸易于依赖模型不确定性的循环动力学。我们给出了中微子质量特征值的解析表达式，并给出了实际参数选择的示例。
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