无规则框架下最小允许无中子双β衰变率
Minimally Allowed Neutrinoless Double Beta Decay Rates Within an Anarchical Framework
摘要：
无中微子双β衰变是中微子马约拉纳性质的唯一现实的探针。在标准图中，它的速率与$m_{ee}$成正比，$m_{ee}$是味基中马约拉纳中微子质量矩阵的e-e元素。我探索最低限度允许$m_{ee}$值的质量矩阵无政府状态的框架内，中微子参数定义在低能量统计。混合角的分布由Haar积分测度很好地定义，但质量取决于任意的加权函数和边界条件。我调查的集成措施参数空间，并发现，充分收敛的权重，$m_{ee}$被限制在（0.01-0.4）eV在90%的置信度。来自中微子混合数据的限制降低了这些界限。奇异积分措施允许任意小的$m_{ee}$值与其余元素定义不清，但这种情况下约束的味道结构的模型的紫外线完成。低于$m_{ee} \sim 5\times10^{-3}$ eV的边界应该表明轻子扇区的对称性，新的光自由度或中微子的狄拉克性质。
英文摘要：
Neutrinoless double beta decay is the only realistic probe of the Majorana nature of the neutrino. In the standard picture, its rate is proportional to $m_{ee}$, the e-e element of the Majorana neutrino mass matrix in the flavor basis. I explore minimally allowed $m_{ee}$ values within the framework of mass matrix anarchy where neutrino parameters are defined statistically at low energies. Distributions of mixing angles are well defined by the Haar integration measure, but masses are dependent on arbitrary weighting functions and boundary conditions. I survey the integration measure parameter space and find that for sufficiently convergent weightings, $m_{ee}$ is constrained between (0.01-0.4) eV at 90% confidence. Constraints from neutrino mixing data lower these bounds. Singular integration measures allow for arbitrarily small $m_{ee}$ values with the remaining elements ill-defined, but this condition constrains the flavor structure of the model's ultraviolet completion. Bounds below $m_{ee} \sim 5\times10^{-3}$ eV should indicate symmetry in the lepton sector, new light degrees of freedom or the Dirac nature of the neutrino.
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