Signal of New Physics and Test of Isospin-SU(3) Relations and CP Violation in Charmless B Decays

Abstract

A model-independent analytical analysis for charmless B decays is presented. It is demonstrated that the CP-averaging branching ratio difference $ΔR = R_c - R_n$ in $B\to πK$ decays with $R_c = 2Br(π^0K^-)/Br(π^-\bar{K}^0)$ and $R_n =Br(π^+K^-)/2Br(π^0\bar{K}^0)$ defines a sensitive quantity for probing new physics as $ΔR$ is dominated by the second order of electroweak penguin contributions. A large discrepancy between experimental data and standard model (SM) prediction $ΔR^{exp}/ΔR^{SM} > 9.0\pm 5.0$ strongly indicates a signal of new physics in the electroweak penguin sector. Within the SM, the current $πK$ data favor a very large color-suppressed tree amplitude $|C'/T'|\sim 2$, large CP violations ($A_{CP}(π^0\bar{K}^0)\sim 0.69$ and $A_{CP}(π^0\bar{K}^-)\sim 0.56$), which is connected to $ΔR$ and be solved simultaneously with extra electroweak penguin contributions. More accurate measurements on the ratio difference $ΔR$ and CP violation in $B\to ππ, πK$ decays may provide a window for probing new physics and testing the isospin and SU(3) symmetries.