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arXiv 0709.0763hep-ph
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无R宇称超对称中μ问题和质子衰变问题的U（1）解

U(1)' solution to the mu-problem and the proton decay problem in supersymmetry without R-parity

Hye-Sung Lee, Konstantin T. Matchev, Ting T. Wang

备注：
Version published in Phys. Rev. D
发表信息：
Phys.Rev.D77:015016,2008
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摘要：

最小超对称标准模型（MSSM）被两个主要的微调问题所困扰：μ问题和质子衰变问题。我们提出了一个同时解决这两个问题的框架内的U（1 π ′-扩展MSSM（UMSSM），而不需要R-宇称守恒。我们确定了几类唯象可行的模型，并提供了具体的例子U（1）的电荷分配。我们的模型一般包含轻子数破坏或重子数破坏的可重整化相互作用，但它们的共存被新的U（1）'规范对称性自动禁止。U（1）对称性也禁止了潜在危险的和经常被忽视的高维质子衰变算子，如QQQL和UUDE，它们仍然被R宇称所允许。因此，在最小的假设下，我们表明，一旦μ-问题得到解决，质子是足够稳定的，即使在存在的一组最小的外来字段，所需的异常取消。我们的模型提供了动力，追求对撞机现象的R-宇称违反UMSSM框架内。

英文摘要：

The Minimal Supersymmetric Standard Model (MSSM) is plagued by two major fine-tuning problems: the mu-problem and the proton decay problem. We present a simultaneous solution to both problems within the framework of a U(1)'-extended MSSM (UMSSM), without requiring R-parity conservation. We identify several classes of phenomenologically viable models and provide specific examples of U(1)' charge assignments. Our models generically contain either lepton number violating or baryon number violating renormalizable interactions, whose coexistence is nevertheless automatically forbidden by the new U(1)' gauge symmetry. The U(1)' symmetry also prohibits the potentially dangerous and often ignored higher-dimensional proton decay operators such as QQQL and UUDE which are still allowed by R-parity. Thus, under minimal assumptions, we show that once the mu-problem is solved, the proton is sufficiently stable, even in the presence of a minimum set of exotics fields, as required for anomaly cancellation. Our models provide impetus for pursuing the collider phenomenology of R-parity violation within the UMSSM framework.

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