Lepton flavor violating semileptonic $\ddot{I}„$ decays $\ddot{I}„\to lP(V)$ in a topcolor scenario

Abstract

The contributions of the neutral top-pion $\ddot{I}{€}_t^0$ and the non-universal gauge boson $Z^{\prime }$ predicted by topcolor scenario to the lepton flavor violating $(LFV)$ semileptonic $\ddot{I}„$ decays $\ddot{I}„\to lP(V)$ $(P=\ddot{I}{€}^0,\hat{I}\cdot ,\hat{I}{\cdot }^{\prime }$ and $V=\ddot{I}{}^0,\ddot{I}•)$ are discussed. We find that the contributions of $Z^{\prime }$ to these decay processes are generally larger than those from $\ddot{I}{€}_t^0$. $\ddot{I}{€}_t^0$ can only make the value of the branching ratio $Br(\ddot{I}„\to lP)$ in the range of 1$\times 10^{-11}$ $\sim$ 1$\times 10^{-16}$, which is far below the sensitivity of foreseeable experiments. With reasonable values of the free parameters, the non-universal gauge boson $Z^{\prime }$ can make the value of the branching ratio $Br(\ddot{I}{„}^{-}\to \hat{I}{¼}^{-}\ddot{I}•)$ reach 1$\times 10^{-7}$, which might approach the observable threshold of near-future experiments.

15 pages. Discussions added, some typos corrected