1998/05/09 by Kirill Melnikov, Alexander Yelkhovsky
Physics and Astronomy · #High-Energy Particle Collisions Research #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-ph
paper · pdf · doi:10.1103/physrevd.59.114009
published as Phys.Rev.D59:114009,1999 · 22 pages, Latex
arxiv created 1998/05/09 · openalex publication_date 1999/04/21 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/30
The b quark low-scale running mass mkin is determined from an analysis of the \ensuremathΥ 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 mkin(1 GeV)=4.56\ifmmode±\else\textpm\fi0.06 GeV. Using this result we derive the value of the modified minimal subtraction scheme mass m: m(m)=4.2\ifmmode±\else\textpm\fi0.1 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 by-product of our study we find the NNLO analytical expression for the cross section e+e^\ensuremath-\ensuremath→QQ 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 1S3 bound states of QQ.