论文标题
超对称测量的风味对称性的效率质量层次结构5D
Fermion mass hierarchies from supersymmetric gauged flavour symmetry in 5D
论文作者
论文摘要
提出了一种基于超对称测量的$ u（1）_f $对称性在平面五维（5D）时空中生成逼真的费物质量层次结构的机制。第五维是在$ s^1/z_2 $ orbifold上压实的。在额外的Abelian对称性下收取的标准模型费米子及其超级零件居住在5D体积中。大量费米子是由$ u（1）_f $ gauge字段的真空期望值$ n = 2 $ superpartner生成的，它们与$ u（1）_f $ $ u（1）_f $ offermions的费用成正比。这决定了额外维度中费米的定位，从而在有效的4D理论中导致了指数抑制的Yukawa耦合。异常取消对允许的$ u（1）_f $电荷造成了严格的约束，从而导致夸克和叶子质量之间的相关性。我们进行了广泛的数值扫描，并获得了针对无异常$ u（1）_f $的几种解决方案，该解决方案描述了观察到的费米昂质量模式，并与阶统一的所有基本参数混合。发现SM Singlet Neutminos的可能存在通过选择$ U（1）_f $费用提供了更多自由，从而大大改善了解决方案的范围。该模型预测$ z^\ prime $ boson介导了夸张和轻子扇区中违反风味的相互作用的耦合，这些耦合可以从Yukawa耦合中明确确定。
A mechanism to generate realistic fermion mass hierarchies based on supersymmetric gauged $U(1)_F$ symmetry in flat five-dimensional (5D) spacetime is proposed. The fifth dimension is compactified on $S^1/Z_2$ orbifold. The standard model fermions charged under the extra abelian symmetry along with their superpartners live in the 5D bulk. Bulk masses of fermions are generated by the vacuum expectation value of $N=2$ superpartner of $U(1)_F$ gauge field, and they are proportional to $U(1)_F$ charges of respective fermions. This decides localization of fermions in the extra dimension, which in turn gives rise to exponentially suppressed Yukawa couplings in the effective 4D theory. Anomaly cancellation puts stringent constraints on the allowed $U(1)_F$ charges which leads to correlations between the masses of quarks and leptons. We perform an extensive numerical scan and obtain several solutions for anomaly-free $U(1)_F$, which describe the observed pattern of fermion masses and mixing with all the fundamental parameters of order unity. It is found that the possible existence of SM singlet neutrinos substantially improves the spectrum of solutions by offering more freedom in choosing $U(1)_F$ charges. The model predicts $Z^\prime$ boson mediating flavour violating interactions in both the quark and lepton sectors with the couplings which can be explicitly determined from the Yukawa couplings.
