Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2006-06-02
Physics
High Energy Physics
High Energy Physics - Phenomenology
15 pages, no figures, RevTex
Scientific paper
A model-independent analytical analysis for charmless B decays is presented. It is demonstrated that the CP-averaging branching ratio difference $\Delta R = R_c - R_n$ in $B\to \pi K$ decays with $R_c = 2Br(\pi^0K^-)/Br(\pi^-\bar{K}^0)$ and $R_n =Br(\pi^+K^-)/2Br(\pi^0\bar{K}^0)$ defines a sensitive quantity for probing new physics as $\Delta R$ is dominated by the second order of electroweak penguin contributions. A large discrepancy between experimental data and standard model (SM) prediction $\Delta R^{exp}/\Delta R^{SM} > 9.0\pm 5.0$ strongly indicates a signal of new physics in the electroweak penguin sector. Within the SM, the current $\pi K$ data favor a very large color-suppressed tree amplitude $|C'/T'|\sim 2$, large CP violations ($A_{CP}(\pi^0\bar{K}^0)\sim 0.69$ and $A_{CP}(\pi^0\bar{K}^-)\sim 0.56$), which is connected to $\Delta R$ and be solved simultaneously with extra electroweak penguin contributions. More accurate measurements on the ratio difference $\Delta R$ and CP violation in $B\to \pi \pi, \pi K$ decays may provide a window for probing new physics and testing the isospin and SU(3) symmetries.
Wu Yue-Liang
Zhou Yu-Feng
Zhuang Ci
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