A. Ali et al., EXPERIMENTAL TESTS OF FACTORIZATION IN CHARMLESS NONLEPTONIC 2-BODY B-DECAYS - ART. NO. 094009, Physical review. D. Particles and fields, 5809(9), 1998, pp. 4009
Using a theoretical framework based on the next-to-leading-order QCD-i
mproved effective Hamiltonian and a factorization ansatz for the hadro
nic matrix elements of the four-quark operators, we reassess branching
fractions in two-body nonleptonic decays B --> PP,PV,VV, involving th
e lowest-lying light pseudoscalar (P) and Vector (V) mesons in the sta
ndard model. We work out the parametric dependence of the decay rates,
making use of the currently available information on the weak mixing
matrix elements, form factors, decay constants, and quark masses. Usin
g the sensitivity of the decay rates on the effective number of colors
, N-c, as a criterion of theoretical predictivity, we classify all the
current-current (tree) and penguin transitions in five different clas
ses. The recently measured charmless two-body B --> PP decays (B+ -->
K+ eta', B-0 --> K-0 eta', B-0 --> K+ pi(-), B+ --> pi(+) K-0, and cha
rge conjugates) are dominated by the N-c-stable QCD penguin transition
s (class-IV transitions) and their estimates are consistent with the d
ata. The measured charmless B --> PV (B+ --> omega K+, B+ --> omega h(
+)) and B --> VV transition (B --> phi K), on the other hand, belong
to the penguin (class-V) and tree (class-III) transitions. The class-V
penguin transitions are N-c sensitive and/or involve large cancellati
ons among competing amplitudes, making their decay rates in general mo
re difficult to predict. Some of these transitions may also receive si
gnificant contributions from annihilation and/or final state interacti
ons. We propose a number of tests of the factorization framework in te
rms of the ratios of branching ratios for some selected B --> h(1)h(2)
decays involving light hadrons h(1) and h(2), which depend only moder
ately on the form factors. We also propose a set of measurements to de
termine the effective coefficients of the current-current and QCD peng
uin operators. The potential impact of B --> h(1)h(2) decays on the CK
M phenomenology is emphasized by analyzing a number of decay rates in
the factorization framework. [S0556-2821(98)05119-4]