In the Minimal Supersymmetric Standard Model with bilinear R-parity violation, only one neutrino eigenstate acquires a mass at tree level, consequently experimental data on neutrinos cannot be accommodated at tree level. We show that in the Next-to-Minimal extension, where a gauge singlet superfield is added to primarily address the so-called $\mu$-problem, it is possible to generate two massive neutrino states at tree level. Hence, the global three-flavour neutrino data can be reproduced at tree level, without appealing to loop dynamics which is vulnerable to model-dependent uncertainties. We give analytical expressions for the neutrino mass eigenvalues and present examples of realistic parameter choices.
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机译：在具有双线性R奇偶性违规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关于中微子的实验数据。我们表明，在“下到最小”扩展中，其中添加了计量单重态超场以主要解决所谓的$ \ mu $问题，可以在树级别生成两个大规模中微子状态。因此，可以在树级别上再现全局三味中微子数据，而无需使用回路动力学，因为回路动力学容易受到模型相关不确定性的影响。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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