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Dispersive theory of charmonium on the Lattice

Alexander Bochkarev
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Abstract

Physical contribution of the high-energy part of hadronic spectrum is incorporated to describe the short-distance part of the correlator of heavy-quark currents obtained by quenched Monte-Carlo on a $8^3*16$- and $16^3*32$-lattices for $β= \{ 6, 6.3 \}$. The lattice artifacts in the short-distance behavior of that correlator are isolated. The physical short-distance part of the correlator is fitted by the relevant expressions of perturbative QCD, which allows one to obtain the renormalized charmed quark mass with rather high accuracy $m_c^{\bar{MS}}(m_c)\,=\,1.22(5)\,GeV$.

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Alexander Bochkarev. 1996-08-07. Dispersive theory of charmonium on the Lattice. https://arxiv.org/abs/hep-ph/9608257

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