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Analytical Heavy Quark Expansion in the 't Hooft Model

Matthias Burkardt·Nikolai Uraltsev
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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 3μ_π^2=\barΛ^2 - m_{sp}^2+β^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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Matthias Burkardt, Nikolai Uraltsev. 2000-05-27. Analytical Heavy Quark Expansion in the 't Hooft Model. https://doi.org/10.1103/physrevd.63.014004

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