1S and MS-bar bottom quark masses from Upsilon sum rules

May, 1999
20 pages
Published in:
  • Phys.Rev.D 61 (2000) 034005
e-Print:
Report number:
  • CERN-TH-99-152

Citations per year

199920052011201720230510152025
Abstract: (arXiv)
The bottom quark 1S mass, Mb1SM_b^{1S}, is determined using sum rules which relate the masses and the electronic decay widths of the Υ\Upsilon mesons to moments of the vacuum polarization function. The 1S mass is defined as half the perturbative mass of a fictitious 3S1{}^3S_1 bottom-antibottom quark bound state, and is free of the ambiguity of order ΛQCD\Lambda_{QCD} which plagues the pole mass definition. Compared to an earlier analysis by the same author, which had been carried out in the pole mass scheme, the 1S mass scheme leads to a much better behaved perturbative series of the moments, smaller uncertainties in the mass extraction and to a reduced correlation of the mass and the strong coupling. We arrive at Mb1S=4.71±0.03M_b^{1S}=4.71\pm 0.03 GeV taking αs(MZ)=0.118±0.004\alpha_s(M_Z)=0.118\pm 0.004 as an input. From that we determine the MSˉ\bar{MS} mass as mˉb(mˉb)=4.20±0.06\bar m_b(\bar m_b) = 4.20 \pm 0.06 GeV. The error in mˉb(mˉb)\bar m_b(\bar m_b) can be reduced if the three-loop corrections to the relation of pole and MSˉ\bar{MS} mass are known and if the error in the strong coupling is decreased.
  • bottom: mass
  • upsilon mesons: mass
  • sum rule
  • vacuum polarization: moment
  • electron positron: annihilation
  • bottom: pair production
  • upsilon mesons: electromagnetic decay
  • upsilon mesons: width
  • quantum chromodynamics: nonrelativistic
  • perturbation theory: higher-order