Determination of the bottom quark mass from the Upsilon(1S) system

May, 2001
31 pages
Published in:
  • JHEP 06 (2001) 022
e-Print:
Report number:
  • TTP-01-12

Citations per year

20012007201320192025051015
Abstract:
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 αs\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 Υ(1S)\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 BB and DD 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.
  • Upsilon(9460): mass
  • bottom: mass
  • mass: pole
  • renormalization: renormalon
  • perturbation theory: higher-order
  • potential: static
  • potential: singlet
  • numerical calculations
  • bibliography