Light-cone distribution amplitudes of axial-vector mesons

We have presented a detailed study of twist-2 and twist-3 light-cone distribution amplitudes of l(3)P(1), and l P-1(1), axial-vector mesons, based on QCD conformal partial wave expansion. Applying equations of motion, the twist-three two-parton light-cone distribution amplitudes can be expressed in terms of leading-twist and twist-three three-parton light-cone distribution amplitudes. The relevant G-parity invariant and violating parameters, containing the corrections due to the SU(3) breaking effects, are evaluated from the QCD sum rule method. The results for axial-vector decay constants of l (3)p(1), states are presented. The values of tensor decay constants and Gegenbauer moments of the leading twist distribution amplitudes for l P-1(1), states are updated. Using Gell-Mann-Okubo mass formula, the mixing angle for the f(8) and f(1), of l(3)P(1), states is theta(3P1), similar to 38 degrees, and that for h(8) and h(1) of l P-1(1) states is theta(1P1), similar to 10 degrees. The detailed properties for physical states f(1) (1285), f(1) (1420), h(1)(1170), and h(1) (1380) are given. Assuming the mixing angle between K (1A) and K (1B) to be theta(K) = 45 degrees or -45 degrees, we also give the detailed study for K-1 (1270) and K-1 (1400). Using the conformal partial wave expansion, we obtain the models for light-cone distribution amplitudes, containing contributions up to conformal spin 9/2. It is interesting to note that some distribution amplitudes have significant asymmetric behaviors, which should be phenomenologically attractive. (c) 2007 Elsevier B.V. All rights reserved.