Leptonic mixing, family symmetries, and neutrino phenomenology
Leptonic mixing, family symmetries, and neutrino phenomenology
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轻子混合、族对称性和中微子现象学
DOI：
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发表时间：
2011
期刊：
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通讯作者：
H. Serodio
中科院分区：
文献类型：
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作者：
I. D. M. Varzielas;R. Felipe;H. Serodio
Tribimax轻子混合是一种与质量无关的混合方案，与目前的太阳和大气中微子数据一致。通过方便地分解与之相关的有效中微子质量矩阵，我们得到了关于控制中微子质量的参数的一般预测。我们将这种唯象分析推广到与摩擦极大值形式有关的其他质量无关的混合格式，通过么正变换。我们通过其家族对称性的群结构对产生摩擦最大轻子混合的模型进行分类，以指出群结构和唯象分析之间往往有直接的联系。负责中微子质量的跷跷板机制类型在这里起到了作用，因为它限制了家庭表征的选择，并影响了瘦身发生的可行性。我们还给出了一个配方，将一个给定的摩擦极大值模型推广到一个具有不同质量独立混合方案的关联模型，这保留了群结构和唯象之间的联系，就像在原始模型中一样。通过构建具有转置摩擦极大值、双极大值、黄金比例和六角形轻子混合图案的玩具模型，清楚地说明了这一过程。
Tribimaximal leptonic mixing is a mass-independent mixing scheme consistent with the present solar and atmospheric neutrino data. By conveniently decomposing the effective neutrino mass matrix associated to it, we derive generic predictions in terms of the parameters governing the neutrino masses. We extend this phenomenological analysis to other mass-independent mixing schemes which are related to the tribimaximal form by a unitary transformation. We classify models that produce tribimaximal leptonic mixing through the group structure of their family symmetries in order to point out that there is often a direct connection between the group structure and the phenomenological analysis. The type of seesaw mechanism responsible for neutrino masses plays a role here, as it restricts the choices of family representations and affects the viability of leptogenesis. We also present a recipe to generalize a given tribimaximal model to an associated model with a different mass-independent mixing scheme, which preserves the connection between the group structure and phenomenology as in the original model. This procedure is explicitly illustrated by constructing toy models with the transpose tribimaximal, bimaximal, golden ratio, and hexagonal leptonic mixing patterns.