Comment on "Calculation of Quarkonium Spectrum and m_b, m_c to Order alpha^4"
| dc.creator | Pineda, A. | |
| dc.creator | Yndurain, F. J. | |
| dc.date | 1998-12-15 | |
| dc.date.accessioned | 2026-07-07T10:33:47Z | |
| dc.date.available | 2026-07-07T10:33:47Z | |
| dc.description | In a recent paper, we included two loop, relativistic one loop and second order relativistic tree level corrections, plus leading nonperturbative contributions, to obtain a calculation of the lower states in the heavy quarkonium spectrum correct up to, and including, $O(α_s^4)$ and leading $\Lambdav^4/m^4$ terms. The results were obtained with, in particular, the value of the two loop static coefficient due to Peter; this been recently challenged by Schröder. In our previous paper we used Peter's result; in the present one we now give results with Schröder's, as this is likely to be the correct one. The variation is slight as the value of $b_1$ is only one among the various $O(α_s^4)$ contributions. With Schröder's expression we now have, $$m_b=5\,001^{+104}_{-66}\;\mev;\quad \bar{m}_b(\bar{m}_b^2)=4\,440^{+43}_{-28}\;\mev,$$ $$m_c=1\,866^{+190}_{-154}\;\mev;\quad \bar{m}_c(\bar{m}_c^2)=1\,531^{+132}_{-127}\;\mev.$$ Moreover, $$\Gammav(\Upsilonv\rightarrow e^+e^-)=1.07\pm0.28\;\kev \;(\hbox{exp.}=1.320\pm0.04\,\kev)$$ and the hyperfine splitting is predicted to be $$M(\Upsilonv)-M(η)=47^{+15}_{-13}\;\mev.$$ | |
| dc.description | 7 pages, TeX | |
| dc.identifier | https://arxiv.org/abs/hep-ph/9812371 | |
| dc.identifier | http://arxiv.org/abs/hep-ph/9812371 | |
| dc.identifier | Phys.Rev.D61:077505,2000 | |
| dc.identifier | doi:10.1103/PhysRevD.61.077505 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/179241 | |
| dc.subject | High Energy Physics - Phenomenology | |
| dc.title | Comment on "Calculation of Quarkonium Spectrum and m_b, m_c to Order alpha^4" | |
| dc.type | text |