Asymptotics of heavy-meson form factors

被引:323
作者
Grozin, AG [1 ]
Neubert, M [1 ]
机构
[1] CERN,DIV THEORY,CH-1211 GENEVA 23,SWITZERLAND
来源
PHYSICAL REVIEW D | 1997年 / 55卷 / 01期
关键词
D O I
10.1103/PhysRevD.55.272
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
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.
引用
收藏
页码:272 / 290
页数:19
相关论文
共 79 条
[41]  
GROZIN AG, 1992, 9297 INP
[42]   HEAVY-QUARK SYMMETRIES IN FORM-FACTORS AT LARGE RECOIL [J].
ISGUR, N .
PHYSICAL REVIEW D, 1991, 43 (03) :810-818
[43]   WEAK DECAYS OF HEAVY MESONS IN THE STATIC QUARK APPROXIMATION [J].
ISGUR, N ;
WISE, MB .
PHYSICS LETTERS B, 1989, 232 (01) :113-117
[44]   WEAK TRANSITION FORM-FACTORS BETWEEN HEAVY MESONS [J].
ISGUR, N ;
WISE, MB .
PHYSICS LETTERS B, 1990, 237 (3-4) :527-530
[45]  
ISGUR N, 1992, HEAVY FLAVOURS, P234
[46]   SUB-LEADING LOGARITHMIC MASS-DEPENDENCE IN HEAVY-MESON FORM-FACTORS [J].
JI, XD ;
MUSOLF, MJ .
PHYSICS LETTERS B, 1991, 257 (3-4) :409-413
[47]  
KORCHEMSKII GP, 1987, SOV J NUCL PHYS+, V45, P127
[48]   RENORMALIZATION OF THE WILSON LOOPS BEYOND THE LEADING ORDER [J].
KORCHEMSKY, GP ;
RADYUSHKIN, AV .
NUCLEAR PHYSICS B, 1987, 283 (1-2) :342-364
[49]   HEAVY QUARK SYMMETRY AT LARGE RECOIL [J].
KORNER, JG ;
KROLL, P .
PHYSICS LETTERS B, 1992, 293 (1-2) :201-206
[50]   Applicability of perturbative QCD to B->D decays [J].
Li, HN .
PHYSICAL REVIEW D, 1995, 52 (07) :3958-3965