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

K. Agashe; N. G. Deshpande

doi:10.1016/s0370-2693(99)00159-8

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arXiv · hep-ph/9812278

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

K. Agashe·N. G. Deshpande

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Abstract

We suggest a new technique to determine the CKM phase $γ$ {\em without} neglecting the (soft) final state rescattering effects. We use (time integrated) $B$ meson decay rates to $π$'s and $K$'s. A set of 5 $ΔS = 0$ (or 1 $ΔS =0$ and 4 $ΔS= 1$) decay rates is used to compute the strong phases and magnitudes of the tree level and penguin contributions as functions of $γ$. These are used to {\em predict} a $ΔS = 1$ $(ΔS = 0) B_{d/s}$ decay rate as a function of $γ$ (using SU(3) symmetry). The measurement of this decay rate then gives $γ$. 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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K. Agashe, N. G. Deshpande. 1999-01-20. Determining the Weak Phase $γ$ in the Presence of Rescattering. https://doi.org/10.1016/s0370-2693(99)00159-8

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