The bottom quark mass from the Υ(1S) \boldsymbol{\Upsilon} (1S) system at NNNLO

Jul 8, 2014
31 pages
Published in:
  • JHEP 09 (2014) 045
  • Published: 2014
e-Print:
Report number:
  • USM-TH-326

Citations per year

201420172020202320240246810
Abstract: (arXiv)
We obtain an improved determination of the normalization constant of the first infrared renormalon of the pole mass (and the singlet static potential). For Nf=3N_f=3 it reads Nm=0.563(26)N_m=0.563(26). Charm quark effects in the bottom quark mass determination are carefully investigated. Finally, we determine the bottom quark mass using the NNNLO perturbative expression for the Υ(1S)\Upsilon(1S) mass. We work in the renormalon subtracted scheme, which allows us to control the divergence of the perturbation series due to pole mass renormalon. Our result for the MS{\overline {\rm MS}} mass reads mb(mb)=4201(43){\overline m}_{b}({\overline m}_{b})=4201(43) MeV.
Note:
  • 37 pages, 11 figures, minor changes in presentation, version to appear in JHEP
  • QCD Phenomenology
  • NLO Computations
  • Upsilon(9460): mass
  • bottom: mass
  • mass: pole
  • mass: renormalization
  • renormalon: infrared
  • quantum chromodynamics: perturbation theory
  • quantum chromodynamics: correction
  • correction: higher-order