Determining the Weak Phase $γ$ in the Presence of Rescattering

Details Determining the Weak Phase $γ$ in the Presence of Rescattering Determining the Weak Phase $γ$ in the Presence of Rescattering

1998-12-08

arxiv.org/abs/hep-ph/9812278v4

Phys.Lett. B451 (1999) 215-223

Physics

High Energy Physics

High Energy Physics - Phenomenology

LaTeX file, 15 pages including 2 figures. Replacing an earlier version. In version 4, we have corrected some typographic error

Scientific paper

10.1016/S0370-2693(99)00159-8

We suggest a new technique to determine the CKM phase $\gamma$ {\em without} neglecting the (soft) final state rescattering effects. We use (time integrated) $B$ meson decay rates to $\pi$'s and $K$'s. A set of 5 $\Delta S = 0$ (or 1 $\Delta S =0$ and 4 $\Delta S= 1$) decay rates is used to compute the strong phases and magnitudes of the tree level and penguin contributions as functions of $\gamma$. These are used to {\em predict} a $\Delta S = 1$ $(\Delta S = 0) B_{d/s}$ decay rate as a function of $\gamma$ (using SU(3) symmetry). The measurement of this decay rate then gives $\gamma$. We illustrate this technique using different cases. Most of the decay modes we use are expected to be accessible at the B-factories (e^+ e^- or hadron machines).

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