Determining the Weak Phase $\gamma$ in the Presence of Rescattering

Abstract

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).

LaTeX file, 15 pages including 2 figures. Replacing an earlier version. In version 4, we have corrected some typographic errors. We have also clarified which decay modes require external tagging and have changed/added some comments

References in corpus (3)

• Determination of the Weak Phase gamma from Rate Measurements in B^+- -> pi K, pi pi Decays
• New Bound on gamma from B^+- -> pi K Decays
• Rescattering Effects, Isospin Relations and Electroweak Penguins in B -> pi K Decays

Cited by in corpus (8)

• U-Spin Symmetry in Charmless B Decays
• CP Violation in the B System and Relations to $K\to \pi \nu \bar{\nu }$ Decays
• Searching for New Physics in Non-Leptonic B Decays
• Charmless Hadronic Two-Body B Meson Decays
• Recent Theoretical Developments in CP Violation in the B System
• Weak Phase gamma Using Isospin Analysis and Time Dependent Asymmetry in B_d -> K_s pi^+ pi^-
• A Critical Look at Rescattering Effects on $\gamma$ from $B^{+}\to K\pi$
• Rescattering and electroweak penguin effects in determinations of the weak phase $\gamma$