$B_s \to φl^+ l^-$ decays in the topcolor-assisted technicolor model

Physics – High Energy Physics – High Energy Physics - Phenomenology

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19 pages, 5 figures. arXiv admin note: text overlap with arXiv:arXiv:0901.3463, arXiv:1101.1272, arXiv:1002.2758, arXiv:1011.0

Scientific paper

Using the updated form factors within the light-cone QCD sum rule approach, we calculate the new physics contributions to rare semileptonic $\bar{B}_s \to \phi\mu^+\mu^-, \phi \tau^+\tau^-$ 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 $2 \sim 6$; (ii) the NP enhancement to the forward-backward asymmetry of the decay $B_s\to \phi \mu^+\mu^-$ is in the range -9% to 37%, but -10% to 10% for decay $B_s\to \phi \tau^+\tau^-$ compared to the SM predictions; (iii) the TC2 model provide a enhancement more than 30% to the $P_L$ for decay $B_s\to \phi \mu^+\mu^-$, but a decrease about 20% to the $P_T$ part for the decay $B_s\to \phi \tau^+\tau^-$.

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