Transverse Momentum Distribution in the B Mesons in the Heavy-quark Limit: the Wandzura-Wilczek Part

Abstract

In the heavy-quark limit, the valence Fock-state components in the B mesons are described by a set of two light-cone wavefunctions. We show that these two wavefunctions obey simple coupled differential equations, which are based on the equations of motion in the Heavy Quark Effective Theory (HQET), and the analytic solutions for them are obtained. The results generalize the recently obtained longitudinal-momentum distribution in the Wandzura-Wilczek approximation by including the transverse momenta. We find that the transverse momentum distribution depends on the longitudinal momentum of the constituents, and that the wavefunctions damp very slowly for large transverse separation between quark and antiquark.

7 pages LaTeX. Discussion about the difference between the Wandzura-Wilczek approximation and the full result for the first moment is added in the final part. Minor corrections in the other part. Some footnotes and Refs are added

References in corpus (3)

• QCD Factorization in B -> pi K, pi pi Decays and Extraction of Wolfenstein Parameters
• A proof of factorization for B -> D pi
• Sudakov effects in B -> pi l nu form factors

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