English

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

High Energy Physics - Phenomenology 2009-10-31 v4

Abstract

We suggest a new technique to determine the CKM phase γ\gamma {\em without} neglecting the (soft) final state rescattering effects. We use (time integrated) BB meson decay rates to π\pi's and KK's. A set of 5 ΔS=0\Delta S = 0 (or 1 ΔS=0\Delta S =0 and 4 ΔS=1\Delta S= 1) decay rates is used to compute the strong phases and magnitudes of the tree level and penguin contributions as functions of γ\gamma. These are used to {\em predict} a ΔS=1\Delta S = 1 (ΔS=0)Bd/s(\Delta S = 0) B_{d/s} decay rate as a function of γ\gamma (using SU(3) symmetry). The measurement of this decay rate then gives γ\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).

Keywords

Cite

@article{arxiv.hep-ph/9812278,
  title  = {Determining the Weak Phase $\gamma$ in the Presence of Rescattering},
  author = {K. Agashe and N. G. Deshpande},
  journal= {arXiv preprint arXiv:hep-ph/9812278},
  year   = {2009}
}

Comments

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