The most general model-independent analysis of the rare B decay B→X s l ϩ l Ϫ is presented. There are ten independent local four-Fermi interactions which may contribute to this process. The branching ratio, the forward-backward asymmetry, and the double differential rate are written as functions of the Wilson coefficients of the ten operators. We also study the correlation between the branching ratio and the forwardbackward asymmetry by changing each coefficient. This procedure tells us which types of operator contribute to the process, and it will be very useful to pin down new physics systematically, once we have the experimental data with high statistics and the deviation from the standard model is found. ͓S0556-2821͑99͒01605-7͔

The most general model-independent analysis of the lepton polarization asymmetries in the rare B decay, B → X s τ + τ − , is presented. We present the longitudinal, normal and transverse polarization asymmetries for the τ + and τ − , and combinations of them, as functions of the Wilson coefficients of twelve independent four-Fermi interactions, ten of them local and two nonlocal. These procedures will tell us which type of operators contributes to the process. And it will be very useful to pin down new physics systematically, once we have the experimental data with high statistics and a deviation from the Standard Model is found.

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I analyze the CP asymmetry of B→X s l ϩ l Ϫ based on a model-independent analysis, which includes 12 independent four-Fermi operators. The CP asymmetry is suppressed in the standard model; however, if some new physics makes it much larger, the present or the next generation of B factories may catch the CP violation in this decay mode. In this paper, we study the correlation of the asymmetry and the branching ratio, and then we find only a type of interaction which can enlarge the asymmetry. Therefore, in comparison with experiments, we have the possibility that we can constrain models beyond the standard model.

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