Perturbative QCD for B → a1(b1)ρ(ω, φ) and Bs → a1(b1)P(V) decays

Within the framework of the perturbative QCD approach, we study the two-body charmless decays B -> a(1)(1260)(b(1)(1235))rho(omega, phi) and B-s -> a(1)(1260)(b(1)(1235))P(V), where, P, V stand for any light pseudoscalar meson and vector meson, respectively. We find the following results: (a) With the exception of the decays (B) over bar (0) -> a(1)(0)rho(0) (omega), other tree-dominated decays B -> a(1)rho(omega) have larger branching ratios of order 10(-5). With the exception of the decays (B) over bar -> b(1)(+)rho(-) and B--> b(1)(0)rho(-), other B -> b(1)rho(omega) decays have smaller branching ratios of order 10(-6). The decays B -> a(1)(b(1))phi are highly suppressed and have very small branching ratios of order 10(-9). (b) The decays (B) over bar (0)(s) -> a(1)(-) K+(K*(+)) have contributions from the factorization emission diagrams with a large Wilson coefficient C-2 + C-1/3, so they have the largest branching ratios and arrive at the order of 10(-5). For the decays (B) over bar (0)(s) -> b(1)K(K*), a(1) pi, all of their branching ratios are of order a few times 10(-6). The branching ratios of other decays fall in the order of 10(-7) -10(-9). (c) For the decays (B) over bar (0) -> a(1)(0)rho(0) and B- -> b(1)(-)rho(0), their two transverse polarizations are larger than their longitudinal polarizations, which are about 43.3% and 44.9%, respectively. (d) With the exception of the decays (B) over bar (0)(s) -> a(1)(0) K*(0), a(1)(0)omega, b(1)(0)omega, the longitudinal polarization fractions of other (B) over bar (0)(s) -> a(1)(b(1))V decays are very large and more than 90%. (e) For the decays B- -> a(1)(0)rho(-), b(1)(0)rho(-) and (B) over bar (0)(1) -> b(1)(0)rho(0), b(1)(0)omega, where the transverse polarization fractions range from 4.7 to 7.5%, we calculate their direct CP-violating asymmetries, neglecting the transverse polarizations and find that those for two charged decays have smaller values, which are about 11.8% and -3.7%, respectively. Compared with the decays (B) over bar (0)(s) -> a(1)(b(1))P, most of the (B) over bar (0)(s) -> a(1)(b(1))V decays have smaller direct CP asymmetries.