Hunting for Direct CP Violation in B ¯ s 0 ⟶ π + π − K ∗ 0

In perturbative QCD approach, based on the first order of isospin symmetry breaking, we study the direct CP violation in the decay of B ¯ s 0 ⟶ ρ ω K ∗ 0 ⟶ π + π − K ∗ 0 . An interesting mechanism is applied to enlarge the C P violating asymmetry involving the charge symmetry breaking between ρ and ω . We find that the CP violation is large by the ρ − ω mixing mechanism when the invariant masses of the π + π − pairs are in the vicinity of the ω resonance. For the decay process of B ¯ s 0 ⟶ ρ ω K ∗ 0 ⟶ π + π − K ∗ 0 , the maximum CP violation can reach − 59.12 % . Furthermore, taking ρ − ω mixing into account, we calculate the branching ratio for B ¯ s 0 ⟶ ρ ω K ∗ 0 . We also discuss the possibility of observing the predicted C P violation asymmetry at the LHC.