Abstract
We investigate the direct CP violation for the decay process of B-s→P(V)π0 (P,V refer to the pseudoscalar meson and vector meson, resp.) via isospin symmetry breaking effects from the π0-η-η′ mixing mechanism in PQCD factorization approach. Isospin symmetry breaking arises from the electroweak interaction and the u-d quark mass difference by the strong interaction, which are known to be tiny. However, we find that isospin symmetry breaking at the leading order shifts the CP violation due to the new strong phases.
Highlights
The measurement of CP violation is an important area in understanding Standard Model (SM) and exploring new physics signals
The CP violation depends on the weak phase differences from the CKM matrix elements and the strong phase differences associated with QCD
We present the CP violation from the weak phases associated with the ρ and η in the CKM matrix elements while the A and λ are assigned for the central values
Summary
The measurement of CP violation is an important area in understanding Standard Model (SM) and exploring new physics signals. The hadronic matrix elements of the nonleptonic weak decay are known to be associated with the strong phase. Isospin symmetry plays an important part in the weak decay process of B meson. Isospin symmetry breaking via ρ-ω mixing produces the strong phase to lead to the large CP violation in the three bodies decay process [13, 14]. Π0-η-η mixing is discussed by the model-independent way in B → ππ decay process using flavor SU(3) symmetry [16]. The strong phase may be introduced to affect the value of CP violation which is similar to the contribution from the isospin symmetry breaking by the ρ-ω mixing [13, 14]. The related functions defined in the text are given in the Appendix
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