Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2001-05-01
JHEP0106:022,2001
Physics
High Energy Physics
High Energy Physics - Phenomenology
32 pages, LaTeX, 7 figures; Minor changes, journal version
Scientific paper
10.1088/1126-6708/2001/06/022
We approximately compute the normalization constant of the first infrared renormalon of the pole mass (and the singlet static potential). Estimates of higher order terms in the perturbative relation between the pole mass and the $\MS$ mass (and in the relation between the singlet static potential and $\alpha_s$) are given. We define a matching scheme (the renormalon subtracted scheme) between QCD and any effective field theory with heavy quarks where, besides the usual perturbative matching, the first renormalon in the Borel plane of the pole mass is subtracted. A determination of the bottom $\MS$ quark mass from the $\Upsilon(1S)$ system is performed with this new scheme and the errors studied. Our result reads $m_{b,\MS}(m_{b,\MS})=4 210^{+90}_{-90}({\rm theory})^{-25}_{+25}(\alpha_s)$ MeV. Using the mass difference between the $B$ and $D$ meson, we also obtain a value for the charm quark mass: $m_{c,\MS}(m_{c,\MS})=1 210^{+70}_{-70}({\rm theory})^{+65}_{-65}(m_{b,\MS})^{-45}_{+45}(\lambda_1)$ MeV. We finally discuss upon eventual improvements of these determinations.
No associations
LandOfFree
Determination of the bottom quark mass from the $Υ(1S)$ system does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Determination of the bottom quark mass from the $Υ(1S)$ system, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Determination of the bottom quark mass from the $Υ(1S)$ system will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-4847