This paper studies improved factorization method, in the heavy quark limit, for B→Kπ decays. Paying attention to strong interaction scale AQCD, and calculating all parameters depending on that in the particular scale (the same as µ ) show that we can obtain better and comparable results for branching ratios such as BR(B0 → K0 π 0 )=8.5+0.7-0.5 × 10-6 and BR(B →π k0)=2.26+0.17-0.15 × 10-5, and...