Test of factorisation in $B\to K\pi$ decays

Abstract

We analyse the $B\to K\pi$ decays using the factorisation model with final state interaction phase shift included. We find that factorisation seems to describe qualitatively the latest CLEO data. For a test of the factorisation model, we derive a relation for the branching ratios independent of the strength of the strong penguin interactions. This relation gives a central value of $(0.60\times 10^{-5})$ for $\mathcal{B}({\bar{B}}^0\to {\bar{K}}^0{\pi }^0)$, somewhat smaller than the latest CLEO measurement, but the experimental errors are yet too big to take it as a real prediction of the factorisation model. We also find that a ratio obtained from the CP-averaged $B\to K\pi$ decay rates could be used to test the factorisation model and to determine the weak angle $\gamma$ with more precise data, though the l atest CLEO data seem to favor $\gamma$ in the range of $(90^{\circ }-120^{\circ })$.

LaTeX, with ReVTeX, 16 pages, 5 figures, version to appear in Physical Review D

References in corpus (2)

• QCD Factorization for $B\to \pi \pi$ Decays: Strong Phases and CP Violation in the Heavy Quark Limit
• Measurement of Charge Asymmetries in Charmless Hadronic in B Meson Decays

Cited by in corpus (8)

• Charming penguin contributions to B => K π
• CP violation in the partial width asymmetries for B^- -> pi^+ pi^- K^- and B^- -> K^+ K^- K^- decays
• The interplay between Weak and Strong Phases and Direct CP Violation from the Charmless B-meson Decays
• CP violating phase $\gamma$ and the partial widths asymmetry in $B^{-}\to {\pi }^{+}{\pi }^{-}{K}^{-}$ and $B^{-}\to K^{+}{K}^{-}{K}^{-}$ decays
• The B^- -> phi phi K^- decay rate with phi phi invariant mass below charm treshold
• Testing QCD factorization with phase determinations in $B\to K\pi$,$K\rho$ and $K^{\ast }\pi$ decays
• CP asymmetry and branching ratio of B -> pi pi
• Charming penguin and direct CP-violation in charmless B decays