Direct CP Violation in B Decays

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We discuss several aspects of direct CP asymmetries in B decays, which are very useful in spite of hadronic uncertainties in asymmetry calculations. 1) Asymmetries in decays to $D^{(*)}K^{(*)}$, $π^+π^-, ρ^+ρ^-$, providing precision tests for the CKM phase $γ$. 2) Null tests in $B^+\to J/ψK^+, π^+π^0$, where a nonzero asymmetry provides evidence for New Physics. 3) Isospin and broken flavor SU(3) relations among CP asymmetries in $B\to Kπ, ππ$ predicting $A_{CP}(B^0\to K^0π^0)$ and $A_{CP}(B^0\to π^0π^0)$. 4) The significance of $A_{CP}(B^0\to K^+π^-)\ne A_{CP}(B^+\to K^+π^0)$. 5) A potentially stringent constraint on $γ$ from $A_{CP}(B^+\to K^+π^0)$ and $R_c\equiv 2Γ(B^+\to K^+π^0)/Γ(B^+\to K^0π^+)$. 6) The role of direct CP asymmetries in $b\to s\bar qq$ decays for studying the origin of potential New Physics.
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