B-Meson Wavefunction by a Comparative Analysis of the B→π,K Transition Form Factors

Properties of the B-meson light-cone wavefunction up to next-to-leading order Fock state expansion are studied by a comparative study of the B→π,K form factors within the k_T factorization approach and the light-cone sum rule analysis. The form factors F^B→π+,0,T and F^B→K_+,0,T are carefully re-calculated up to O(1/m_b²) within the k_T factorization approach in the large recoil region. The QCD light-cone sum rule is applicable in the large and intermediate energy regions, and the QCD light-cone sum rule results in Ref.12 are adopted for such a comparative study. It is found that when the two phenomenological parameters Λ∈ 0.50,0.55 and δ∈0.25,0.30, the results of F^B→π_+,0,T(Q²) and F^B→K_+,0,T(Q²) from these two approaches are consistent with each other in the large recoil energy region.