Abstract
We study the CP asymmetry of B± → ωK± with the inclusion of the ρ − ω mixing mechanism. It is shown that the CP asymmetry of B± → ωK± experimentally measured (\( {A}_{\mathrm{CP}}^{\mathrm{exp}} \)) and conventionally defined (\( {A}_{\mathrm{CP}}^{\mathrm{con}} \)) are in fact different, which relation can be illustrated as \( {A}_{\mathrm{CP}}^{\mathrm{exp}}={A}_{\mathrm{CP}}^{\mathrm{con}}+\Delta {A}_{\mathrm{CP}}^{\rho \omega} \), with \( \Delta {A}_{\mathrm{CP}}^{\rho \omega} \) the ρ − ω mixing contribution to \( {A}_{\mathrm{CP}}^{\mathrm{exp}} \). The numerical value of \( \Delta {A}_{\mathrm{CP}}^{\rho \omega} \) is extracted from the experimental data of B± → π+π−K± and is found to be comparable with \( {A}_{\mathrm{CP}}^{\mathrm{exp}} \), hence, non-negligible. The conventionally defined CP asymmetry, \( {A}_{\mathrm{CP}}^{\mathrm{con}} \), is obtained from the values of \( {A}_{\mathrm{CP}}^{\mathrm{exp}} \) and \( \Delta {A}_{\mathrm{CP}}^{\rho \omega} \), and is compared with the theoretical calculations in the literature.
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ArXiv ePrint: 2005.09157
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Zhang, ZH., Yang, S. & Guo, XH. ρ − ω mixing contribution to the measured CP asymmetry of B± → ωK±. J. High Energ. Phys. 2020, 20 (2020). https://doi.org/10.1007/JHEP10(2020)020
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DOI: https://doi.org/10.1007/JHEP10(2020)020