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Analytical heavy quark expansion in the 't Hooft model

Matthias Burkardt
(
- New Mexico State U.
)
,
Nikolai Uraltsev
(
- Notre Dame U. and
- St. Petersburg, INP
)

May, 2000

22 pages

Published in:

Phys.Rev.D 63 (2001) 014004

e-Print:

hep-ph/0005278 [hep-ph]

DOI:

10.1103/PhysRevD.63.014004

Report number:

UND-HEP-00-BIG-03

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Abstract:

We present a number of exact relations for the heavy quark limit and develop an analytical 1/m_Q expansion for heavy mesons in the 't Hooft model. Among the new results are relation 3\mu_\pi^2=\bar\Lambda^2 - m_{sp}^2+\beta^2, 1/m_Q corrections to the decay constants, to the kinetic expectation values and 1/m_Q^2 nonperturbative corrections to the B->D amplitude at zero recoil. The properties of the IW functions are addressed and the small velocity sum rules are verified.

heavy quark
quantum chromodynamics
dimension: 2
meson: heavy
HQET model
decay constant: correction
B: transition
amplitude analysis: transition
Isgur-Wise function
velocity: sum rule

References(17)

Figures(0)

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