The lepton flavor violating decays $Z\to l_i{l}_j$ in the simplest little Higgs model

Abstract

In the simplest little Higgs model the new flavor-changing interactions between heavy neutrinos and the Standard Model leptons can generate contributions to some lepton flavor violating decays of $Z$-boson at one-loop level, such as $Z\to {\tau }^{\pm }{\mu }^{\mp }$, $Z\to {\tau }^{\pm }{e}^{\mp }$, and $Z\to {\mu }^{\pm }{e}^{\mp }$. We examine the decay modes, and find that the branching ratios can reach $10^{-7}$ for the three decays, which should be accessible at the Giga$Z$ option of the ILC.

12 pages, 9 figures. arXiv admin note: text overlap with arXiv:1101.0412