Lepton flavor violating semileptonic $τ$ decays $τ\to lP(V)$ in a topcolor scenario

Physics – High Energy Physics – High Energy Physics - Phenomenology

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15 pages. Discussions added, some typos corrected

Scientific paper

10.1103/PhysRevD.74.115018

The contributions of the neutral top-pion $\pi_{t}^{0}$ and the non-universal gauge boson $Z'$ predicted by topcolor scenario to the lepton flavor violating $(LFV)$ semileptonic $\tau$ decays $\tau\to lP(V)$ $(P=\pi^{0}, \eta, \eta' $ and $ V=\rho^{0}, \phi)$ are discussed. We find that the contributions of $Z'$ to these decay processes are generally larger than those from $\pi_{t}^{0}$. $\pi_{t}^{0}$ can only make the value of the branching ratio $Br(\tau\to lP)$ in the range of 1$\times10^{-11}$ $\sim$ 1$\times10^{-16}$, which is far below the sensitivity of foreseeable experiments. With reasonable values of the free parameters, the non-universal gauge boson $Z'$ can make the value of the branching ratio $Br(\tau^{-}\to \mu^{-}\phi)$ reach 1$\times10^{-7}$, which might approach the observable threshold of near-future experiments.

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