English

Direct $CP$ violation of three bodies decay process from the resonance effect

High Energy Physics - Phenomenology 2022-11-09 v4

Abstract

The physical state of ρ\rho-ω\omega-ϕ\phi mesons can be mixed by the unitary matrix. The decay processes of ωπ+π\omega \rightarrow \pi^{+}\pi^{-} and ϕπ+π\phi \rightarrow \pi^{+}\pi^{-} are from the isospin symmetry breaking. The ρω\rho-\omega, ρϕ\rho-\phi and ωϕ\omega-\phi interferences lead to resonance contribution to produce the strong phases. The CPCP asymmetry is considered from above isospin symmetry breaking due to the new strong phase for the first order. It has been found the CPCP asymmetry can be enhanced greatly for the decay process of B0π+πη()B^{0}\rightarrow\pi^+\pi^{-}\eta^{(')} when the invariant masses of the π+π\pi^+\pi^{-} pairs are in the area around the ω\omega resonance range and the ϕ\phi resonance range in perturbative QCD. We also discuss the possibility to search the predicted CPCP violation at the LHC.

Keywords

Cite

@article{arxiv.2201.02385,
  title  = {Direct $CP$ violation of three bodies decay process from the resonance effect},
  author = {Gang Lü and Yan-Lin Zhao and Liang-Chen Liu and Xin-Heng Guo},
  journal= {arXiv preprint arXiv:2201.02385},
  year   = {2022}
}