论文标题
来自广义对称性破坏的中微子质量
Neutrino Masses from Generalized Symmetry Breaking
论文作者
论文摘要
我们在标准模型之外的物理学理论中探索了全球对称性。 $ z'$玻色子的理论一般包含“不可逆转”的手性对称性，其存在表明自然范式将这种对称性通过紫外线完成的较小量打破这种对称性。例如，在测量的Lepton家族差异的模型中，例如现象学上良好的$ u（1）_ {l_μ-l_τ} $，有一个不可固化的Lepton数字对称性，可以保护中性群体。我们将这些理论嵌入了仪表的非亚洲水平Lepton对称性中，例如$ u（1）_ {l_μ-l_τ} \ subset su（3）_h $，其中一般的对称性因存在而非扰动而被Lepton家族磁性单极管损坏。在这种理论中，可以通过带电的Lepton Yukawas E.G. $y_ν\ simy_τ\ exp（-s _ {\ rm inst}）$。这些理论不需要新的领域或临时额外的全球对称性，而是简单，自然和预测的：在低能量时发现Lepton家族$ Z'U $将揭示$L_μ-L_τ$从较大的计对称中出现的规模。
We explore generalized global symmetries in theories of physics beyond the Standard Model. Theories of $Z'$ bosons generically contain 'non-invertible' chiral symmetries, whose presence indicates a natural paradigm to break this symmetry by an exponentially small amount in an ultraviolet completion. For example, in models of gauged lepton family difference such as the phenomenologically well-motivated $U(1)_{L_μ- L_τ}$, there is a non-invertible lepton number symmetry which protects neutrino masses. We embed these theories in gauged non-Abelian horizontal lepton symmetries, e.g. $U(1)_{L_μ- L_τ} \subset SU(3)_H$, where the generalized symmetries are broken nonperturbatively by the existence of lepton family magnetic monopoles. In such theories, either Majorana or Dirac neutrino masses may be generated through quantum gauge theory effects from the charged lepton Yukawas e.g. $y_ν\sim y_τ\exp(-S_{\rm inst})$. These theories require no bevy of new fields nor ad hoc additional global symmetries, but are instead simple, natural, and predictive: the discovery of a lepton family $Z'$ at low energies will reveal the scale at which $L_μ- L_τ$ emerges from a larger gauge symmetry.
