Direct CP violation of three body decay processes from the resonance effect |
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| Authors: | Gang Lü Yan-Lin Zhao Liang-Chen Liu Xin-Heng Guo |
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| Affiliation: | 1. College of Science, Henan University of Technology, Zhengzhou 450001, China2. College of Nuclear Science and Technology, Beijing Normal University, Beijing 100875, China |
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| Abstract: | The physical state of \begin{document}$ \rho-\omega-\phi $\end{document}![]() ![]() mesons can be mixed using the unitary matrix. The decay processes \begin{document}$ \omega \rightarrow \pi^{+}\pi^{-} $\end{document}![]() ![]() and \begin{document}$ \phi \rightarrow \pi^{+}\pi^{-} $\end{document}![]() ![]() originate from isospin symmetry breaking. The \begin{document}$ \rho-\omega $\end{document}![]() ![]() , \begin{document}$ \rho-\phi $\end{document}![]() ![]() , and \begin{document}$ \omega-\phi $\end{document}![]() ![]() interferences lead to a resonance contribution to produce strong phases. \begin{document}$ CP $\end{document}![]() ![]() violation is considered from isospin symmetry breaking due to the new strong phase of the first order. \begin{document}$ CP $\end{document}![]() ![]() violation can be enhanced greatly for the decay process \begin{document}$ B^{0}\rightarrow \pi^+\pi^{-}\eta^{(')} $\end{document}![]() ![]() when the invariant masses of \begin{document}$ \pi^+\pi^{-} $\end{document}![]() ![]() pairs are in the area around the \begin{document}$ \omega $\end{document}![]() ![]() resonance range and \begin{document}$ \phi $\end{document}![]() ![]() resonance range in perturbative QCD. We also discuss the possibility of searching for the predicted \begin{document}$ CP $\end{document}![]() ![]() violation at the LHC. |
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| Keywords: | CP violation B meson decay heavy flavor physics |
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