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

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

2008-02-26

arxiv.org/abs/0802.3858v2

JHEP 0804:102,2008

Physics

High Energy Physics

High Energy Physics - Phenomenology

39 pages, 7 figures. Typos corrected, references added

Scientific paper

10.1088/1126-6708/2008/04/102

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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