Physics – High Energy Physics – High Energy Physics - Lattice
Scientific paper
2000-09-29
Physics
High Energy Physics
High Energy Physics - Lattice
3 pages, talk presented at the 4th International conference on ``Quark Confinement and the Hadron Spectrum'' on 3rd-8th July,
Scientific paper
We present results for the mass of the $b$ quark in the $\bar{MS}$ scheme obtained by calculating the binding energy of the $B$ meson in the static limit. The self energy of a static quark, $E_0^\infty$ needed for this purpose, is now known to $O(\alpha^3)$ in the quenched approximation. We find a {\it preliminary} value of $\bar{m_b}(\bar{m_b})=4.34(7)$ GeV at $n_f=0$. The error is dominated by the remaining uncertainty in $E_0^\infty$. In addition, using $E_0^\infty$ at $O(\alpha^2)$, we estimate that the quark mass is reduced by approximately 70 MeV when two flavours of dynamical quarks are introduced.
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