Lepton flavor violating semileptonic tau decays tau ---> lP(V) in topcolor scenario

Nov, 2006

14 pages

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Abstract:

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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