# CP Violation in $B^\pm\to \rho^0\pi^\pm$ and $B^\pm\to \sigma\pi^\pm$ Decays

@article{Cheng2020CPVI, title={CP Violation in \$B^\pm\to \rho^0\pi^\pm\$ and \$B^\pm\to \sigma\pi^\pm\$ Decays}, author={Hai-Yang Cheng}, journal={arXiv: High Energy Physics - Phenomenology}, year={2020} }

The decay amplitude of $B^+\to \pi^+\pi^-\pi^+$ in the Dalitz plot has been analyzed by the LHCb using three different approaches for the $S$-wave component. It was found that the mode with $\sigma$ (or $f_0(500)$) exhibited a CP asymmetry of 15\% in the isobar model, whereas the $f_2(1270)$ mode had a 40\% asymmetry. On the contrary, CP asymmetry for the dominant quasi-two-body decay $B^-\to\rho^0\pi^-$ was found to be consistent with zero in all three approaches, while all the existing…

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