The bottom $\bar{\rm MS}$ quark mass from sum rules at next-to-next-to-leading order

M. Beneke; A. Signer

doi:10.1016/S0370-2693(99)01348-9

paper

The bottom $MS ˉ$ quark mass from sum rules at next-to-next-to-leading order

arXiv:hep-ph/9906475 · doi:10.1016/S0370-2693(99)01348-9

Abstract

We determine the bottom $MS ˉ$ quark mass $m ˉ_{b}$ and the quark mass in the potential subtraction scheme from moments of the $b b ˉ$ production cross section and from the mass of the Upsilon 1S state at next-to-next-to-leading order in a reorganized perturbative expansion that sums Coulomb exchange to all orders. We find $m ˉ_{b} (m ˉ_{b}) = (4.25 \pm 0.08)$ GeV and $m_{b, PS} (2 G e V) = (4.59 \pm 0.08)$ GeV for the potential-subtracted mass at the scale 2 GeV, adopting a conservative error estimate.

14 pages, LaTeX, 2 figures; v2: journal version

The bottom MSˉ quark mass from sum rules at next-to-next-to-leading order

Abstract

The bottom $MS ˉ$ quark mass from sum rules at next-to-next-to-leading order