Asymmetries from the interference between Cabibbo-favored and doubly-Cabibbo-suppressed $D$ meson decays

A phenomenological analysis of $D\to K\pi$ and $D_s^{+}\to KK$ decays including both Cabibbo-favored and doubly-Cabibbo-suppressed modes have been presented by employing the present experimental data. SU(3) symmetry breaking effects from the decay constants and form factors have been taken into account in the analysis. Three asymmetries, $R(D^0)$, $R(D^{+})$, and $R(D_s^{+})$, which are generated through interference between Cabbibo-favored and doubly-Cabibbo-suppressed decays, are estimated. Theoretical results agree well with the current measurements.

Figure 1

$W$-exchange or $W$-annihilation diagrams via gluon emission. The solid square denotes the weak vertex.