Asymptotics of heavy-meson form factors
- Budker Institute of Nuclear Physics, Novosibirsk 630090 (Russia)
- Theory Division, CERN, CH-1211 Geneva 23 (Switzerland)
Using methods developed for hard exclusive QCD processes, we calculate the asymptotic behavior of heavy-meson form factors at large recoil. It is determined by the leading- and subleading-twist meson wave functions. For 1{lt}{vert_bar}v{center_dot}v{sup {prime}}{vert_bar}{lt}m{sub Q}/{Lambda}, the form factors are dominated by the Isgur-Wise function, which is determined by the interference between the wave functions of leading and subleading twist. At {vert_bar}v{center_dot}v{sup {prime}}{vert_bar}{gt}m{sub Q}/{Lambda}, they are dominated by two functions arising at order 1/m{sub Q} in the heavy-quark expansion, which are determined by the leading-twist wave function alone. The sum of these contributions describes the form factors in the whole region {vert_bar}v{center_dot}v{sup {prime}}{vert_bar}{gt}1. As a consequence, there is an exact zero in the form factor for the scattering of longitudinally polarized B{sup {asterisk}} mesons at some value v{center_dot}v{sup {prime}}{approximately}m{sub b}/{Lambda}, and an approximate zero in the form factor of B mesons in the timelike region (v{center_dot}v{sup {prime}}{approximately}{minus}m{sub b}/{Lambda}). We obtain the evolution equations and sum rules for the wave functions of leading and subleading twist as well as for their moments. We briefly discuss applications to heavy-meson pair production in e{sup +}e{sup {minus}} collisions. {copyright} {ital 1997} {ital The American Physical Society}
- OSTI ID:
- 439118
- Journal Information:
- Physical Review, D, Journal Name: Physical Review, D Journal Issue: 1 Vol. 55; ISSN PRVDAQ; ISSN 0556-2821
- Country of Publication:
- United States
- Language:
- English
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