Using the updated form factors within the light-cone QCD sum rule approach, we calculate the new physics contributions to rare semileptonicB s → φµ + µ − , φτ + τ − 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 asymmetries 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; (ii) the NP enhancement to the forward-backward asymmetry of the decay B s → φµ + µ − is in the range −13% to 3%, but −9% to −6% for decay B s → φτ + τ − compared to the SM predictions; (iii) the TC2 model provide an enhancement of about 12% to the longitudinal polarization asymmetry P L for decay B s → φµ + µ − , but a decrease of about 10% to the transverse polarization asymmetry P T for the decay B s → φτ + τ − .

Influences of the bag constant on the properties of hybrid stars are investigated by using relativistic mean field theory and the MIT bag model to describe the hadron phase and quark phase in the interior of neutron stars, respectively. Our results indicate that the onset of hadron-quark phase transition is put off and the appearance of hyperon species is increased with the increase in bag constant. As a result, the hybrid star equation of state for a mixed phase range stiffens whereas that of the quark phase range softens, and the gravitational mass as well as the corresponding radius of hybrid stars are increased obviously. The gravitational mass of a hybrid star is increased from 1.42 M⊙ (M⊙ is solar mass) to 1.63M⊙ and the corresponding radius is changed from 9.1 km to 12.2 km when the bag constant (B1/4) is increased from 170 MeV to 200 MeV. It is interesting to find that hybrid star equations of state become non-smooth when the TM2 parameter sets in the framework of relativistic mean field theory used to describe the hadronic matter, and consequently, the third family of compact stars appear in the mass-radius relations of hybrid stars in the narrow scope of the bag constant from 175 MeV to 180 MeV. These show that the choice of the bag constant in the MIT bag model has significant influence on the properties of hybrid stars.