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Asymptotics of heavy meson form-factors

A.G. Grozin
(
- Novosibirsk, IYF
)
,
M. Neubert
(
- CERN
)

Jul, 1996

34 pages

Published in:

Phys.Rev.D 55 (1997) 272-290

e-Print:

hep-ph/9607366 [hep-ph]

DOI:

10.1103/PhysRevD.55.272

Report number:

BUDKER-INP-1996-45,
BINP-96-45,
CERN-TH-96-144

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Abstract:

Using methods developed for hard exclusive QCD processes, we calculate the asymptotic behaviour of heavy-meson form factors at large recoil. It is determined by the leading- and subleading-twist meson wave functions. For

1\ll |v\cdot v'|\ll 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\cdot v'|\gg 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\cdot v'|\gg 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\cdot v'\sim m_b/\Lambda

, and an approximate zero in the form factor of

B

mesons in the timelike region (

v\cdot v'\sim -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.

13.40.Gp
12.38.Bx
12.39.Hg
14.40.Nd
charmed meson: form factor
bottom meson: form factor
form factor: asymptotic behavior
quantum chromodynamics: sum rule
wave function
Isgur-Wise function

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