arXiv 0802.38582008-02hep-ph

在超对称See-saw模型中从mu -> e γ对稀有τ衰变的限制

Constraints on the rare tau decays from mu --> e gamma in the supersymmetric see-saw model

Alejandro Ibarra, Cristoforo Simonetto

备注：: 39 pages, 7 figures. Typos corrected, references added
发表信息：: JHEP 0804:102,2008
DOI：: 10.1088/1126-6708/2008/04/102

摘要：

现在，所有族轻子数在自然界中都是不符合的，这已是一个确定的事实。在本文中，我们讨论了这一观察的影响，为未来的搜索罕见的τ衰变的超对称跷跷板模型。利用软项的两圈重整化群演化和Yukawa耦合，我们证明了稀有过程μ--> e γ的速率存在一个形式为BR（μ--> e γ）> C BR（τ--> μ γ）BR（τ--> e γ）的下界，其中C是一个依赖于超对称参数的常数.我们唯一的假设是在高能跷跷板参数之间不存在抵消。我们还讨论了这一约束的影响，为今后寻找罕见的tau衰变。特别是，对于mSUGRA参数空间的大区域，我们表明，目前的B工厂可以发现tau --> mu gamma或tau --> e gamma，但不能同时发现两者。

英文摘要：

It is now a firmly established fact that all family lepton numbers are violated in Nature. In this paper we discuss the implications of this observation for future searches for rare tau decays in the supersymmetric see-saw model. Using the two loop renormalization group evolution of the soft terms and the Yukawa couplings we show that there exists a lower bound on the rate of the rare process mu --> e gamma of the form BR(mu --> e gamma) > C BR(tau --> mu gamma) BR(tau --> e gamma), where C is a constant that depends on supersymmetric parameters. Our only assumption is the absence of cancellations among the high-energy see-saw parameters. We also discuss the implications of this bound for future searches for rare tau decays. In particular, for large regions of the mSUGRA parameter space, we show that present B-factories could discover either tau --> mu gamma or tau --> e gamma, but not both.

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