1S and MS-bar bottom quark masses from Upsilon sum rules
May, 199920 pages
Published in:
- Phys.Rev.D 61 (2000) 034005
e-Print:
- hep-ph/9905550 [hep-ph]
Report number:
- CERN-TH-99-152
View in:
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Abstract: (arXiv)
The bottom quark 1S mass, , is determined using sum rules which relate the masses and the electronic decay widths of the mesons to moments of the vacuum polarization function. The 1S mass is defined as half the perturbative mass of a fictitious bottom-antibottom quark bound state, and is free of the ambiguity of order 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 GeV taking as an input. From that we determine the mass as GeV. The error in can be reduced if the three-loop corrections to the relation of pole and 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
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