Direct CP violation in

Chao Wang; Xin-Heng Guo; Ying Liu; Rui-Cheng Li

doi:10.1140/epjc/s10052-014-3140-8

EPJ

Direct CP violation in $Mathematical equation: $$\tau ^\pm \rightarrow K^\pm \rho ^0 (\omega )\nu _\tau \rightarrow K^\pm \pi ^+\pi ^-\nu _\tau $$$

Chao Wang, Xin-Heng Guo^*, Ying Liu and Rui-Cheng Li

College of Nuclear Science and Technology, Beijing Normal University, Beijing, 100875, China

^* e-mail: This email address is being protected from spambots. You need JavaScript enabled to view it.

Received: 4 August 2014
Accepted: 20 October 2014
Published online: 7 November 2014

Abstract

We study the direct CP violation in the $Mathematical equation: $$\tau ^\pm \rightarrow K^\pm \rho ^0 (\omega )\nu _\tau \rightarrow K^\pm \pi ^+\pi ^-\nu _\tau $$$ decay process in the standard model. An interesting mechanism involving the charge symmetry violating mixing between $Mathematical equation: $$\rho ^0$$$ and $Mathematical equation: $$\omega $$$ is applied to enlarge the CP asymmetry. We find that the CP-violating asymmetry can be enhanced greatly via this $Mathematical equation: $$\rho $$$ – $Mathematical equation: $$\omega $$$ mixing mechanism when the invariant mass of the $Mathematical equation: $$\pi ^+\pi ^-$$$ pair is in the vicinity of the $Mathematical equation: $$\omega $$$ resonance. With this mechanism, the maximum differential and localized integrated CP asymmetries can reach $Mathematical equation: $$-(5.6^{+2.9}_{-1.7})\times 10^{-12}$$$ and $Mathematical equation: $$6.3^{+2.4}_{-3.3}\times 10^{-11}$$$ , respectively, which is still negligible.

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EPJ

Direct CP violation in

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Direct CP violation in $Mathematical equation: $$\tau ^\pm \rightarrow K^\pm \rho ^0 (\omega )\nu _\tau \rightarrow K^\pm \pi ^+\pi ^-\nu _\tau $$$