The b quark low-scale running mass from Upsilon sum rules
| dc.creator | Melnikov, Kirill | |
| dc.creator | Yelkhovsky, Alexander | |
| dc.date | 1998-05-09 | |
| dc.date.accessioned | 2026-07-07T10:33:40Z | |
| dc.date.available | 2026-07-07T10:33:40Z | |
| dc.description | 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. | |
| dc.description | 22 pages, Latex | |
| dc.identifier | https://arxiv.org/abs/hep-ph/9805270 | |
| dc.identifier | http://arxiv.org/abs/hep-ph/9805270 | |
| dc.identifier | Phys.Rev.D59:114009,1999 | |
| dc.identifier | doi:10.1103/PhysRevD.59.114009 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/179199 | |
| dc.subject | High Energy Physics - Phenomenology | |
| dc.title | The b quark low-scale running mass from Upsilon sum rules | |
| dc.type | text |