m_u + m_d from QCD-Hadron Duality

Physics – High Energy Physics – High Energy Physics - Phenomenology

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9 pages, LaTeX, 2 ps figures, uses epsf.sty. To be published in Proceedings of the ``High Energy Conference on Quantum Chromod

Scientific paper

10.1016/S0920-5632(97)01070-0

The value of the light quark masses combination $m_u + m_d$ is analized using
QCD-Hadron Duality. A detailed analysis of both the perturbative QCD [to
four-loops] and the hadronic parametrization needed is done. The result we get
is $[m_u + m_d] (1 GeV^2) = (12.8 \pm 2.5)$ MeV ($[m_u + m_d] (4 GeV^2) = (9.8
\pm 1.9)$ MeV) in the $\barMS$ scheme.

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