Direct CP violation for $\bar{B}_{s}^{0}\to K^{0}\pi^{+}\pi^{-}$ decay in QCD factorization

TL;DR

This paper investigates direct CP violation in the decay of _s^0 to K^0 ^+^- using QCD factorization, highlighting large asymmetries near the  resonance due to - mixing, with potential observability at LHC.

Contribution

It introduces a detailed analysis of CP violation in _s^0 decay considering - mixing effects within QCD factorization, providing new predictions for asymmetry magnitudes.

Findings

CP asymmetry can reach about 46% near  resonance.

Large CP violation is attributed to - mixing effects.

Potential for observing CP violation at LHC is discussed.

Abstract

In the framework of QCD factorization, based on the first order of isospin violation, we study direct CP violation in the decay of $\bar{B}_{s}^{0} \to K^{0}\rho^{0}(\omega)\to K^{0}\pi^{+}\pi^{-}$ including the effect of $\rho-\omega$ mixing. We find that the CP violating asymmetry is large via $\rho-\omega$ mixing mechanism when the invariant mass of the $\pi^{+}\pi^{-}$ pair is in the vicinity of the $\omega$ resonance. For the decay of $\bar{B}_{s}^{0} \to K^{0}\rho^{0}(\omega)\to K^{0}\pi^{+}\pi^{-}$, the maximum CP violating asymmetries can reach about 46%. We also discuss the possibility to observe the predicted CP violating asymmetries at the LHC.