Nonleptonic charmless<i>B</i>decays: Factorization versus perturbative QCD

We compare the factorization approach, the perturbative QCD approach and the Beneke-Buchalla-Neubert-Sachrajda approach to nonleptonic charmless B meson decays. We discuss their treatments of factorizable, nonfactorizable, and annihilation contributions, infrared-cutoff and scale dependences, and strong phases. It is proposed that measurement of $\mathrm{CP}$ asymmetries in two-body B meson decays provides an appropriate test of these approaches.