Fig. 1. (color online) The behavior of LCDA predicted by the BHL model, including the uncertainties of the input parameters. For comparison, we present the JLab fit [13], QCD SR [18], CZ form [46] and the asymptotic form [47].

Fig. 2. (color online) The extrapolated TFFs calculated using the two correlators LCSR- / (left/right plots). The shaded bands are the uncertainties from the error sources. As a comparison, the predictions of lattice QCD [7], LCSR [14, 15], pQCD [49] and HPQCD [50] are also shown.

Fig. 3. (color online) The differential branching fractions for the two correlators LCSR- / (left/right plots). As a comparison, the BABAR data [53, 55] and the Belle data [54, 56] are also shown.

Table 1. Parameters of twist-2 LCDA determined from [45].

Table 2. Uncertainties of TFFs at . The uncertainties of the total TFFs are summed up in quadrature.

Table 3. Different twist terms in TFFs for large recoils

Table 4. The fit parameters and quality of fit of LCSR- and LCSR- TFFs

Table 5. A comparison of derived using various approaches.

Table 6. A comparison of the branching fraction of with the experimental measurements. Both LCSR- and LCSR- predictions are consistent with the data.