论文标题
$ su（6）$ Grand Unified Theories
Predictive Dirac and Majorana Neutrino Mass Textures from $SU(6)$ Grand Unified Theories
论文作者
论文摘要
我们根据$ su（6）$ Grand Unifying Group在理论中对中微子群众的简单和预测性实现。在最低维操作员的水平上，这类模型预测了中微子的狄拉克质量术语的偏斜气味结构。在中微子是狄拉克颗粒的情况下，这种结构的最低级预测是一个无质量的中微子和两个退化的大型中微子。高维操作员被普朗克尺度抑制了这一频谱，使观察到的中微子质量基质非常合适。这种结构的坚定预测是一种倒立的中微子质谱，中微子最轻的层次中微子比其他两个都轻，因此中微子质量的总和与倒立层次结构的下微子质量之和接近下属。在中微子是主要颗粒的替代情况下，质谱可以正常或倒置。但是，最轻的中微子在层次上再次比其他两个都轻，因此预测中微子质量的总和将靠近正常或反向层次结构的相应下限。不久的将来的宇宙学测量值将能够测试中微子质量总和的预测。在表现出倒立层次结构的主要中微子的情况下，未来的中微子双β实验可以提供互补的探针。
We present simple and predictive realizations of neutrino masses in theories based on the $SU(6)$ grand unifying group. At the level of the lowest-dimension operators, this class of models predicts a skew-symmetric flavor structure for the Dirac mass term of the neutrinos. In the case that neutrinos are Dirac particles, the lowest-order prediction of this construction is then one massless neutrino and two degenerate massive neutrinos. Higher-dimensional operators suppressed by the Planck scale perturb this spectrum, allowing a good fit to the observed neutrino mass matrix. A firm prediction of this construction is an inverted neutrino mass spectrum with the lightest neutrino hierarchically lighter than the other two, so that the sum of neutrino masses lies close to the lower bound for an inverted hierarchy. In the alternate case that neutrinos are Majorana particles, the mass spectrum can be either normal or inverted. However, the lightest neutrino is once again hierarchically lighter than the other two, so that the sum of neutrino masses is predicted to lie close to the corresponding lower bound for the normal or inverted hierarchy. Near future cosmological measurements will be able to test the predictions of this scenario for the sum of neutrino masses. In the case of Majorana neutrinos that exhibit an inverted hierarchy, future neutrinoless double beta experiments can provide a complementary probe.
