Resolution of the B -> pi pi, pi K puzzles

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  • 9 January 2009
Abstract
We show that there exist uncanceled soft divergences in the k_T factorization for nonfactorizable amplitudes of two-body nonleptonic B meson decays, similar to those identified in hadron-hadron collisions. Viewing the special role of the pion as a q qbar bound state and as a pseudo Nambu-Goldstone boson, we associate a soft factor with it in the perturbative QCD formalism. This soft factor enhances the nonfactorizable color-suppressed tree amplitudes, such that the branching ratios B(pi^0 pi^0) and B(pi^0 rho^0) are increased under the constraint of the B(rho^0 rho^0) data, the difference between the direct CP asymmetries A_{CP}(pi^\mp K^\pm) and A_{CP}(pi^0 K^\pm) is enlarged, and the mixing-induced CP asymmetry S_{pi^0 K_S} is reduced. That is, the known pi pi and pi K puzzles can be resolved simultaneously.

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