B^\pm -> D K^\pm with direct CP violation in charm

Abstract

We investigate the implications of direct CP violation (CPV) on the determination of the unitarity triangle angle γ from B -> DK decays. We show that γ can still be extracted even with the inclusion of direct CPV in charm if (i) at least one of the D decays has negligible CP violation; and (ii) data from charm factory at threshold are used. If approximate expressions without including direct CP violation in charm are used, this can result in a shift in γ that is O(r_D/r_B). It is modest for B -> DK but can be O(1) for B -> Dπ. We illustrate the size of the shift on an example of Gronau-London-Wyler method.

6 pages, citations improved

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• Shift in weak phase $\gamma$ due to CP asymmetries in $D$ decays to two pseudoscalar mesons
• Recent Developments on the CKM Matrix
• Electroweak effects in the extraction of the CKM angle $\gamma$ from $B\to D\pi$ decays
• $B\to D{K}_{0,2}^{\ast }$ Decays: PQCD analysis to determine CP violation phase angle $\gamma$
• Study of CKM angle $\gamma$ sensitivity using flavor untagged $B_s^0\to {\tilde{D}}^{(\ast )0}\varphi$ decays