Determination of heavy-meson wave functions from $B$ decays

Hsiang-nan Li; B. Melić

doi:doi:10.1007/s100529900204

2022 Impact factor 4.4

Particles and Fields

Eur. Phys. J. C 11, 695-702
DOI 10.1007/s100529900204

Determination of heavy-meson wave functions from Bdecays

Hsiang-nan Li¹ - B. Melic²

¹ Department of Physics, National Cheng-Kung University, Tainan, Taiwan 701, P.R. China
² Theoretical Physics Division, Rudjer Boskovic Institute, P.O. Box 1016, 10001 Zagreb, Croatia

Received: 18 February 1999 / Revised version: 24 June 1999 / Published online: 3 November 1999

Abstract
We extract the B, D, and D^* meson wave functions from the CLEO data of the decays $B\to K^*\gamma$ and $B\to D^{(*)}\pi$ in the perturbative QCD framework. In this formalism, various logarithmic corrections are organized to give the Wilson evolution from the W boson mass down to the characteristic scale of a decay process, which is of order of the bquark mass, and the Sudakov evolution from the characteristic scale to a lower factorization scale of order $\Lambda_{\rm QCD}$ . With large logarithms organized, the b quark decay amplitudes are evaluated reliably in perturbation theory. Below the factorization scale, QCD dynamics is regarded as being nonperturbative, and absorbed into meson wave functions. Because of their universality, the heavy-meson wave functions determined in this work, can be employed to make predictions of other decay modes. We also observe that the dependence of heavy meson wave functions on intrinsic parton transverse momenta plays an important role in the explanation of data.