Neutrino Masses from Generalized Symmetry Breaking
Neutrino Masses from Generalized Symmetry Breaking
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发表时间：
2022-11
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通讯作者：
Clay Córdova;Sungwoo Hong;S. Koren;K. Ohmori
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作者：
Clay Córdova;Sungwoo Hong;S. Koren;K. Ohmori
我们探索广义全局对称性的物理理论超越标准模型。Z（cid：48）玻色子的理论通常包含“不可逆”的手征对称性，其存在表明在紫外线完成中以指数方式少量破坏这种对称性的自然范例。例如，在规范轻子族差异的模型中，如唯象学上动机良好的U（1）L µ − L τ，有一个不可逆的轻子数对称性来保护中微子质量。我们将这些理论嵌入规范的非阿贝尔水平轻子对称性中，例如U（1）L µ − L τ <$SU（3）H，其中广义对称性被轻子族磁单极子的存在非微扰地破坏。在这样的理论中，马约拉纳或狄拉克中微子的质量可以通过带电轻子Yukawas的量子规范理论效应产生，例如y ν y τ exp（− S inst）。这些理论不需要一大堆新的场，也不需要额外的全局对称性，而是简单、自然和预测性的：低能轻子族Z（cid：48）的发现将揭示L µ − L τ从更大规范对称性中出现的尺度。
We explore generalized global symmetries in theories of physics beyond the Standard Model. Theories of Z (cid:48) 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 phenomenologi-cally 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 ⊂ 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 ∼ y τ exp( − S 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 (cid:48) at low energies will reveal the scale at which L µ − L τ emerges from a larger gauge symmetry.