Abstract
Since the standard model contribution is virtually absent, any observation of direct CP violation in the Cabibbo-favored charmed meson decays would be evidence of new physics. In this paper, we conduct a quantitative study on direct CP violation in D0 → K−π+, D + s → ηπ+ and D + s → η′π+ decays in the SU(2)L ×SU(2)R ×U(1)B−L gauge extension of the standard model. In the model, direct CP violation arises mainly from the interference between the decay amplitude coming from the SM left-left current operators and that from the right-right current operators induced by W + R gauge boson exchange. Interestingly, the strong phase between the two amplitudes is evaluable, since it stems from difference in QCD corrections to the left-left and right-right current operators, which is a short-distance QCD effect given by \( \sim \left({\alpha}_s\left({M}_{W_L}^2\right)/4\pi \right) \log \left({M}_{W_R}^2/{M}_{W_L}^2\right) \). We assess the maximal direct CP violation in the above decays in the SU(2)L × SU(2)R × U(1)B−L model. Additionally, we present a correlation between direct CP violation in these modes and one in K → ππ decay parametrized by ϵ′, since W + R gauge boson has a sizable impact on the latter.
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Haba, N., Umeeda, H. & Yamada, T. Direct CP violation in Cabibbo-favored charmed meson decays and ϵ′/ϵ in SU(2)L × SU(2)R × U(1)B−L model. J. High Energ. Phys. 2018, 6 (2018). https://doi.org/10.1007/JHEP10(2018)006
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DOI: https://doi.org/10.1007/JHEP10(2018)006