Implications of new data in charmless B decays

Abstract

Based on the latest experimental data of $B \to ππ$ and $πK$ modes, a model-independent analytical analysis is presented. The CP-averaged branching ratio difference $ΔR = R_c - R_n$ in $B\to πK$ decays with $R_c = 2Br(π^0K^-)/Br(π^-\bar{K}^0)$ and $R_n =Br(π^+K^-)/2Br(π^0\bar{K}^0)$ is reduced though it remains larger than the prediction from the standard model(SM) as both measured $R_n$ and $R_c$ are enhanced, which indicates that a room for new physics becomes smaller. The present data of $ππ$ decay reduce the ratio $|C/T|$ from the previous value of $|C/T|\simeq 0.8 $ to $|C/T| \simeq 0.65$, which is still larger than the theoretical estimations based on QCD factorization and pQCD. Within SM and flavor SU(3) symmetry, the current $πK$ data also diminish the ratio $|C'/T'|$ from the previous value $|C'/T'| \simeq 2$ to $|C'/T'| \simeq 1.16$ with a large strong phase $δ_{C'} \simeq -2.65$, while its value remains much larger than the one extracted from the $ππ$ modes. The direct CP violation $A_{CP}(π^0\bar{K}^0)$ is predicted to be $A_{CP}(π^0\bar{K}^0) = -0.15\pm0.03$, which is consistent with the present data. Two kinds of new effects in both strong and weak phases of the electroweak penguin diagram are considered. It is found that both cases can reduce the ratio to $|C'/T'| = 0.40\sim 0.80$ and lead to roughly the same predictions for CP violation in $π^0 K^0$.