Direct CP violation in Cabibbo-favored charmed meson decays and ε′/ε in SU(2)L x SU(2)R x U(1)B-L model

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 D-0 -> K- pi(+), D-s(+) -> eta pi(+) and D-s(+) -> eta'pi(+) decays in the SU(2)(L) x SU(2)(R) x 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 similar to (alpha(s)(M-WL(2))/4 pi) log(M-WR(2)/M-WL(2)). We assess the maximal direct CP violation in the above decays in the SU(2)(L) x SU(2)(R) x U(1)(B-L) model. Additionally, we present a correlation between direct CP violation in these modes and one in K -> pi pi decay parametrized by epsilon', since W-R(+) gauge boson has a sizable impact on the latter.