The b quark low-scale running mass from Upsilon sum rules

Details The b quark low-scale running mass from Upsilon sum rules The b quark low-scale running mass from Upsilon sum rules

1998-05-09

arxiv.org/abs/hep-ph/9805270v1

Phys.Rev.D59:114009,1999

Physics

High Energy Physics

High Energy Physics - Phenomenology

22 pages, Latex

Scientific paper

10.1103/PhysRevD.59.114009

The b quark low-scale running mass m_kin is determined from an analysis of the Upsilon sum rules in the next-to-next-to-leading order (NNLO). It is demonstrated that using this mass one can significantly improve the convergence of the perturbation series for the spectral density moments. We obtain m_kin(1 GeV) = 4.56 \pm 0.06 GeV. Using this result we derive the value of the MS-bar mass m: m(m) = 4.20 \pm 0.1 GeV. Contrary to the low-scale running mass, the pole mass of the b quark cannot be reliably determined from the sum rules. As a byproduct of our study we find the NNLO analytical expression for the cross section e+e- --> Q\bar Q of the quark antiquark pair production in the threshold region, as well as the energy levels and the wave functions at the origin for the ^1S_3 bound states of Q\bar Q.

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