Analytical Heavy Quark Expansion in the 't Hooft Model

Details Analytical Heavy Quark Expansion in the 't Hooft Model Analytical Heavy Quark Expansion in the 't Hooft Model

2000-05-27

arxiv.org/abs/hep-ph/0005278v1

Phys.Rev. D63 (2001) 014004

Physics

High Energy Physics

High Energy Physics - Phenomenology

22 pages, plain LaTeX (no figures)

Scientific paper

10.1103/PhysRevD.63.014004

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.

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