Abstract
Using the updated form factors within the light-cone QCD sum rule approach,
we calculate the new physics contributions to rare semileptonic \$B\_s \to
\phi\mu^+\mu^-, \tau^+\tau^-\$ decays from the new particles appearing in
the topcolor-assisted technicolor (TC2) model. In our evaluations, we find
that: (i) the branching ratio, normalized forward-backward asymmetry and lepton
polarization show highly sensitivity to charged top-pions contributions and
little sensitivity to \$Z'\$ contributions. The TC2 enhancements to the branching
ratios of these decays can reach a factor of \$2 4\$; (ii) the NP
enhancement to the forward-backward asymmetry of the decay \$B\_s\phi
\mu^+\mu^-\$ is in the range -9\% to 22\%, but -10\% to 0\% for decay \$B\_s\phi
\tau^+\tau^-\$ compared to the SM predictions; (iii) the TC2 model provide an
enhancement of more than 30\% to the longitudinal polarization asymmetry \$P\_L\$
for decay \$B\_s\mu^+\mu^-\$, but a decrease of about 20\% to the
transverse polarization asymmetry \$P\_T\$ for the decay \$B\_s\phi
\tau^+\tau^-\$.
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