Abstract
We analyze charmless two-body non-leptonic B decays B rightarrow PP, PV under the framework of a factorization-assisted topological-amplitude approach, where P(V) denotes a light pseudoscalar (vector) meson. Compared with the conventional flavor diagram approach, we consider the flavor SU(3) breaking effect assisted by a factorization hypothesis for topological diagram amplitudes of different decay modes, factorizing out the corresponding decay constants and form factors. The non-perturbative parameters of topology diagram magnitudes chi and the strong phase phi are universal; they can be extracted by chi ^2 fit from current abundant experimental data of charmless Bdecays. The number of free parameters and the chi ^2 per degree of freedom are both reduced compared with previous analyses. With these best fitted parameters, we predict branching fractions and CP asymmetry parameters of nearly 100 B_{u,d} and B_s decay modes. The long-standing pi pi and pi K-CP puzzles are solved simultaneously.
Highlights
We analyze charmless two-body non-leptonic B decays B → P P, P V under the framework of factorization assisted topological amplitude approach, where P (V ) denotes a light pseudoscalar meson
Since factorization has been proven to all orders in αs in the so called soft-collinear effective theory at leading order in Λ/mb expansion, the color-favored tree emission diagram T was factorized into short-distance effective Wilson coefficients and decay constants and form factors, without free parameters
They were considered as universal magnitudes (χ) and associated phases (φ) in the conventional flavor diagram approach to be fitted from experimental data
Summary
The two body charmless B decays are flavor changing weak decays. They are induced by the quark level diagrams classified by leading order (tree diagram) and 1-loop level (penguin diagram) weak interactions. The leading contribution from topology P diagram is similar to the color favored tree diagram T, which is proved factorization in various QCD-inspired approaches, such as QCD factorization [8], perturbative QCD [6] and soft-collinear effective theory [19] They give very similar numerical results proportional to the Wilson coefficient a4, related to the QCD penguin operators O3, O4. All these approaches predict large extra contribution in this topology related to the effective four-quark operators O5, O6, which is called the “chiral enhanced” penguin contributions Since this chiral enhancement only contributes to the pseudo-scalar meson (Goldstone boson) emission diagram, we will include it only in B → P P and B → V P decays, which can be parameterize as rχχP , eiφP in Eq(6) with rχ the chiral factor of pseudo-scalar meson. The definition of Scp for the B0 → KsK∗0(K∗0), Bs → K±K∗∓ and Bs → KsK∗0(K∗0) decays are similar with B0 → π±ρ∓
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