ASYMPTOTICS OF HEAVY-MESON FORM-FACTORS

Citation
Ag. Grozin et M. Neubert, ASYMPTOTICS OF HEAVY-MESON FORM-FACTORS, Physical review. D. Particles and fields, 55(1), 1997, pp. 272-290
Citations number
79
Categorie Soggetti
Physics, Particles & Fields
ISSN journal
05562821
Volume
55
Issue
1
Year of publication
1997
Pages
272 - 290
Database
ISI
SICI code
0556-2821(1997)55:1<272:AOHF>2.0.ZU;2-H
Abstract
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 funct ions. For 1 much less than\v . v'\much less than m(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 sublead ing twist. At \v . v'\much greater than m(Q)/Lambda, they are dominate d by two functions arising at order 1/m(Q) in the heavy-quark expansio n, which are determined by the leading-twist wave function alone. The sum of these contributions describes the form factors in the whole reg ion \v . v'\ much greater than 1. As a consequence, there is an exact zero in the form factor for the scattering of longitudinally polarized B mesons at some value v . v' similar to m(b)/Lambda, and an approxi mate zero in the form factor of B mesons in the timelike region (v . v ' similar to -m(b)/Lambda). We obtain the evolution equations and sum rules for the wave functions of leading and subleading twist as well a s for their moments. We briefly discuss applications to heavy-meson pa ir production in e(+)e(-) collisions.