Asymptotics of heavy-meson form factors

作者：Grozin AG^*; Neubert M

来源：Physical Review D – Particles and Fields, 1997, 55(1): 272-290.

DOI：10.1103/PhysRevD.55.272

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 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 subleading twist. At \v . v'\much greater than m(Q)/Lambda, they are dominated by two functions arising at order 1/m(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 \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 approximate 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 as for their moments. We briefly discuss applications to heavy-meson pair production in e(+)e(-) collisions.

• 出版日期1997-1-1