具有$B-L$守恒和纯狄拉克中微子的左右对称性的替代表述
Alternative formulation of left-right symmetry with $B-L$ conservation and purely Dirac neutrinos
摘要：
我们提出了一个左右对称模型（LRSM）的替代公式，其中重子数（$B$）和轻子数（$L$）之差保持不破缺对称性.这与传统的公式不同，在传统的公式中，$B-L$被提升到局部对称性，并被明确破缺以产生马约拉纳中微子质量。在我们的例子中，$B-L$在左右对称破缺后仍然保持整体对称性，只允许中微子的狄拉克质量项。除了在一些高尺度上的宇称恢复，这个公式提供了一个自然的框架来解释$B-L$作为标准模型的无异常全局对称性和$(B-L)$违反过程的非观测。中微子质量是纯粹的狄拉克类型，通过双环辐射机制或狄拉克跷跷板机制产生。
英文摘要：
We propose an alternative formulation of a Left-Right Symmetric Model (LRSM) where the difference between baryon number ($B$) and lepton number ($L$) remains an unbroken symmetry. This is unlike the conventional formulation, where $B-L$ is promoted to a local symmetry and is broken explicitly in order to generate Majorana neutrino masses. In our case $B-L$ remains a global symmetry after the left-right symmetry breaking, allowing only Dirac mass terms for neutrinos. In addition to parity restoration at some high scale, this formulation provides a natural framework to explain $B-L$ as an anomaly-free global symmetry of the Standard Model and the non-observation of $(B-L)$-violating processes. Neutrino masses are purely Dirac type and are generated either through a two loop radiative mechanism or by implementing a Dirac seesaw mechanism.
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