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arXiv 1111.6960hep-ph
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具有大的无中微子双β衰变率的中微子质量的现实模型

A realistic model of neutrino masses with a large neutrinoless double beta decay rate

Francisco del Aguila, Alberto Aparici, Subhaditya Bhattacharya, Arcadi Santamaria, Jose Wudka

摘要:

温伯格算符的最小标准模型扩展确实容纳了观测到的中微子质量和混合,但预测了一个与有效电子中微子质量成正比的无中微子双β($0νββ$)衰变率,在目前的实验范围内可以任意小。然而,一般来说,$0νββ$衰变可以有一个独立的起源,并接近其目前的实验边界;而中微子质量是辐射产生的,对$0νββ$衰变的贡献可以忽略不计。我们提供了一个实现这种情况下,在一个简单的,定义良好的和可测试的模型,与潜在的LHC效应和可计算的中微子质量,其双回路的表达,我们得到准确。我们还讨论了这个模型的连接到其他已经出现在文献中,并评论的显着差异,从各种选择的量子数分配和对称性假设。在这类模型中,轻子味违反率也倾向于相对较大,在可预见的实验范围内。有趣的是,在我们的模型中,当要求$μ\rightarrow eee$低于其目前的实验极限时,这代表一个大的第三混合角$\sin^2θ_{13} \gtrsim 0.008$。

英文摘要:

The minimal Standard Model extension with the Weinberg operator does accommodate the observed neutrino masses and mixing, but predicts a neutrinoless double beta ($0νββ$) decay rate proportional to the effective electron neutrino mass, which can be then arbitrarily small within present experimental limits. However, in general $0νββ$ decay can have an independent origin and be near its present experimental bound; whereas neutrino masses are generated radiatively, contributing negligibly to $0νββ$ decay. We provide a realization of this scenario in a simple, well defined and testable model, with potential LHC effects and calculable neutrino masses, whose two-loop expression we derive exactly. We also discuss the connection of this model to others that have appeared in the literature, and remark on the significant differences that result from various choices of quantum number assignments and symmetry assumptions. In this type of models lepton flavor violating rates are also preferred to be relatively large, at the reach of foreseen experiments. Interestingly enough, in our model this stands for a large third mixing angle, $\sin^2θ_{13} \gtrsim 0.008$, when $μ\rightarrow eee$ is required to lie below its present experimental limit.

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