Charmless $B \to PP$ decays using flavor SU(3) symmetry

Details Charmless $B \to PP$ decays using flavor SU(3) symmetry Charmless $B \to PP$ decays using flavor SU(3) symmetry

2004-04-07

arxiv.org/abs/hep-ph/0404073v3

Phys.Rev. D70 (2004) 034020

Physics

High Energy Physics

High Energy Physics - Phenomenology

26 pages, 1 figure. To be submitted to Phys. Rev. D. Reference updated

Scientific paper

10.1103/PhysRevD.70.034020

The decays of $B$ mesons to a pair of charmless pseudoscalar ($P$) mesons are analyzed within a framework of flavor SU(3). Symmetry breaking is taken into account in tree ($T$) amplitudes through ratios of decay constants; exact SU(3) is assumed elsewhere. Acceptable fits to $B \to \pi \pi$ and $B \to K \pi$ branching ratios and CP asymmetries are obtained with tree, color-suppressed ($C$), penguin ($P$), and electroweak penguin ($P_{EW}$) amplitudes. Crucial additional terms for describing processes involving $\eta$ and $\eta'$ include a large flavor-singlet penguin amplitude ($S$) as proposed earlier and a penguin amplitude $P_{tu}$ associated with intermediate $t$ and $u$ quarks. For the $B^+ \to \pi^+ \eta'$ mode a term $S_{tu}$ associated with intermediate $t$ and $u$ quarks also may be needed. Values of the weak phase $\gamma$ are obtained consistent with an earlier analysis of $B \to VP$ decays, where $V$ denotes a vector meson, and with other analyses of CKM parameters.

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