Lepton flavor violating signals of a little Higgs model at the high energy linear $e^{+}{e}^{-}$ colliders

Abstract

Littlest Higgs $(LH)$ model predicts the existence of the doubly charged scalars ${\Phi }^{\pm \pm }$, which generally have large flavor changing couplings to leptons. We calculate the contributions of ${\Phi }^{\pm \pm }$ to the lepton flavor violating $(LFV)$ processes $l_i\to l_j\gamma$ and $l_i\to l_j{l}_k{l}_k$, and compare our numerical results with the current experimental upper limits on these processes. We find that some of these processes can give severe constraints on the coupling constant $Y_{ij}$ and the mass parameter $M_{\Phi }$. Taking into account the constraints on these free parameters, we further discuss the possible lepton flavor violating signals of ${\Phi }^{\pm \pm }$ at the high energy linear $e^{+}{e}^{-}$ collider $(ILC)$ experiments. Our numerical results show that the possible signals of ${\Phi }^{\pm \pm }$ might be detected via the subprocesses $e^{\pm }{e}^{\pm }\to l^{\pm }{l}^{\pm }$ in the future $ILC$ experiments.

arXiv comment16 pages, 7 figures. Discussions and references added, typos corrected

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