标题： 寻找一个现象学上一致的低截止理论 显示英文标题

标题： Quest for a phenomenologically consistent low cutoff theory

摘要： Randall-Sundrum模型中希格斯场定位在红外边界面上可以解决等级问题。然而，相关的低截止（$\Lambda \sim 10$TeV）通常会导致质子衰变得过快以及Majorana中微子质量过大。 要在同时解释Yukawa层次结构的情况下保持一致性，需要要么是水平对称性，要么是离散规范对称性。我们证明，在水平对称性框架内消除所有危险算符必须伴随着大的且不吸引人的电荷分配，如果可能的话。 因此，我们考虑一个精确的离散规范对称性$\mathbf{Z}_N$，其中费米子质量层次结构通过波函数重叠生成。我们利用这一点来重现当前的CKM和PMNS结构。 在最小假设下，它预测总质量为$\sim 66$meV的Dirac中微子。由于$\mathbf{Z}_N$的电荷必须与世代无关，味可观测量作为关键探针。 显示英文摘要

摘要： The Randall-Sundrum model with the Higgs localized on the IR brane solves the gauge hierarchy problem. However, the associated low cutoff ($\Lambda \sim 10$ TeV) generically leads to unacceptably rapid nucleon decay and excessively large Majorana neutrino masses. Achieving consistency while simultaneously explaining the Yukawa hierarchy requires either a horizontal symmetry or a discrete gauged symmetry. We demonstrate that eliminating all dangerous operators within a horizontal symmetry framework must come with large and unattractive charge assignments, if possible at all. Hence, we consider an exact discrete gauged $\mathbf{Z}_N$ symmetry, with fermion mass hierarchies generated via wavefunction overlap. We employ this to reproduce the current CKM and PMNS structures. Under minimal assumptions, it predicts Dirac neutrinos with a total mass $\sim 66$ meV. Since the $\mathbf{Z}_N$ charges must be generation-blind, flavor observables serve as key probes.