Weak Phase $γ$ From Ratio of $B \to K π$ Rates

Physics – High Energy Physics – High Energy Physics - Phenomenology

Scientific paper

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16 pages, latex, 3 figures, revised version sent to Phys. Rev. D

Scientific paper

10.1103/PhysRevD.57.6843

The ratio of partial decay rates for charged and neutral $B$ mesons to $K \pi$ final states provides information on the weak phase $\gamma \equiv {\rm Arg} (V_{ub}^*)$ when augmented with information on the CP-violating asymmetry in the $K^\pm \pi^\mp$ mode. The requirements for a useful determination of $\gamma$ are examined in the light of present information about the decays $B^0 \to K^+ \pi^-$, $B^+ \to K^0 \pi^+$, and the corresponding charge-conjugate modes. The effects of electroweak penguins and rescattering corrections are noted, and proposals are made for estimating and measuring their importance.

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