Direct CP violation in τ±→K±ρ0(ω)ντ→K±π+π-ντ

We study the direct CP violation in the τ±→K±ρ0(ω)ντ→K±π+π-ντ decay process in the standard model. An interesting mechanism involving the charge symmetry violating mixing between ρ0 and ω is applied to enlarge the CP asymmetry. We find that the CP-violating asymmetry can be enhanced greatly via this ρ – ω mixing mechanism when the invariant mass of the π+π- pair is in the vicinity of the ω resonance. With this mechanism, the maximum differential and localized integrated CP asymmetries can reach -(5.6-1.7+2.9)×10-12 and 6.3-3.3+2.4×10-11 , respectively, which is still negligible