New results on pionic twist-3 distribution amplitudes within the QCD sum rules

We present an improved calculation on the pionic twist-3 distribution amplitudes phi(pi)(p) and phi(pi)(sigma), which are studied within the QCD sum rules. By adding all the uncertainties in quadrature, it is found that <xi(2)(p)> = 0.248(-0.052)(+0.076) <xi(1)(p)> = 0.262(-0.055)(+0.080), <xi(2)(sigma)> = 0.102(-0.025)(+0.035) and <xi(4)(sigma)> = 0.094(-0.020)(+0.028). Furthermore, with the help of these moments, we construct a model for the twist-3 wave functions psi(pi)(p,sigma)(x, k(perpendicular to)) which have better end point behavior and are helpful for perturbative QCD approach. The obtained twist-3 distribution amplitudes are adopted to calculate the B -> pi transition form factor f(B pi)(+) within the QCD light cone sum rules up to next-to-leading order. By suitable choice of the parameters, we obtain a consistent f(B pi)(+) with those obtained in the literature.