Analytical Heavy Quark Expansion in the 't Hooft Model
High Energy Physics - Phenomenology
2009-10-31 v1
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.
Keywords
Cite
@article{arxiv.hep-ph/0005278,
title = {Analytical Heavy Quark Expansion in the 't Hooft Model},
author = {Matthias Burkardt and Nikolai Uraltsev},
journal= {arXiv preprint arXiv:hep-ph/0005278},
year = {2009}
}
Comments
22 pages, plain LaTeX (no figures)