Direct CP violation in ${\tau }^{\pm }\to K^{\pm }{\rho }^0(\omega ){\nu }_{\tau }\to K^{\pm }{\pi }^{+}{\pi }^{-}{\nu }_{\tau }$

Abstract

We study the direct CP violation in the ${\tau }^{\pm }\to K^{\pm }{\rho }^0(\omega ){\nu }_{\tau }\to K^{\pm }{\pi }^{+}{\pi }^{-}{\nu }_{\tau }$ decay process in the Standard Model. An interesting mechanism involving the charge symmetry violating mixing between ${\rho }^0$ and $\omega$ is applied to enlarge the CP asymmetry. With this mechanism, the maximum differential and localized integrated CP asymmetries can reach $-(5.6_{-1.7}^{+2.9})\times 10^{-12}$ and $6.3_{-3.3}^{+2.4}\times 10^{-11}$, respectively, which still leave plenty room for CP-violating New Physics to be discovered through this process.

References in corpus (2)

• CP violation in tau -> K pi pi nu_tau
• (ω, ϕ) P^- decays of tau leptons