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arXiv 1009.0905hep-phhep-th
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MSSM的一个唯一的Z_4^R对称性

A unique Z_4^R symmetry for the MSSM

Hyun Min Lee, Stuart Raby, Michael Ratz, Graham G. Ross, Roland Schieren, Kai Schmidt-Hoberg, Patrick K. S. Vaudrevange

摘要:

我们考虑可能的反常自由阿贝尔离散对称的MSSM,禁止μ项在微扰阶。考虑到通过Green-Schwarz机制的反常抵消,我们确定离散R对称性是唯一的可能性,并证明存在唯一的与SO(10)交换的Z_4^R对称性。我们认为,非微扰效应将产生一个μ项的电弱序,从而解决了μ问题。非微扰效应破坏了Z_4^R对称性,留下了精确的Z_2物质宇称。因此,四维重子和轻子数违反运营商的缺席,而在非微扰水平,五维重子和轻子数违反运营商得到诱导,但高度抑制,使核子衰变率是在目前的范围内。

英文摘要:

We consider the possible anomaly free Abelian discrete symmetries of the MSSM that forbid the mu-term at perturbative order. Allowing for anomaly cancellation via the Green-Schwarz mechanism we identify discrete R-symmetries as the only possibility and prove that there is a unique Z_4^R symmetry that commutes with SO(10). We argue that non-perturbative effects will generate a mu-term of electroweak order thus solving the mu-problem. The non-perturbative effects break the Z_4^R symmetry leaving an exact Z_2 matter parity. As a result dimension four baryon- and lepton-number violating operators are absent while, at the non-perturbative level, dimension five baryon- and lepton-number violating operators get induced but are highly suppressed so that the nucleon decay rate is well within present bounds.

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