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 1P13 and 1P11 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)SU(3) breaking effects, are evaluated from the QCD sum rule method. The results for axial-vector decay constants of 1P13 states are presented. The values of tensor decay constants and Gegenbauer moments of the leading twist distribution amplitudes for 1P11 states are updated. Using Gell-Mann–Okubo mass formula, the mixing angle for the f8f8 and f1f1 of 1P13 states is θP13∼38°, and that for h8h8 and h1h1 of 1P11 states is θP11∼10°. The detailed properties for physical states f1(1285)f1(1285), f1(1420)f1(1420), h1(1170)h1(1170), and h1(1380)h1(1380) are given. Assuming the mixing angle between K1AK1A and K1BK1B to be θK=45°θK=45° or −45°, we also give the detailed study for K1(1270)K1(1270) and K1(1400)K1(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.