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

Abstract

The contributions of the neutral top-pion ${\pi }_t^0$ and the non-universal gauge boson $Z^{\prime }$ predicted by topcolor scenario to the lepton flavor violating $(LFV)$ semileptonic $\tau$ decays $\tau \to lP(V)$ $(P={\pi }^0,\eta ,{\eta }^{\prime }$ and $V={\rho }^0,\varphi )$ are discussed. We find that the contributions of $Z^{\prime }$ 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$\times 10^{-11}$ $\sim$ 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 $Br({\tau }^{-}\to {\mu }^{-}\varphi )$ reach 1$\times 10^{-7}$, which might approach the observable threshold of near-future experiments.

15 pages. Discussions added, some typos corrected

References in corpus (1)

• Lepton flavor violation in $\tau$ decays

Cited by in corpus (4)

• Unparticle-Induced Lepton Flavor Violating Decays τ^- ->l^- (V^0, ~P^0)
• Yukawa Corrections to gamma gamma --> b\bar{b} in the Topcolor Assisted Technicolor Models
• Searching for lepton flavor violating decays tau to Pl in Minimal R-symmetric Supersymmetric Standard Model
• LFV couplings of the extra gauge boson Z' and leptonic decay and production of pseudoscalar mesons