Bottom and Charm Mass determinations from global fits to bound states at NLO
Nov 15, 2017
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Abstract: (Springer)
The bottomonium spectrum up to n = 3 is studied within Non-Relativistic Quantum Chromodynamics up to NLO. We consider finite charm quark mass effects both in the QCD potential and the -pole mass relation up to third order in the Y-scheme counting. The u = 1/2 renormalon of the static potential is canceled by expressing the bottom quark pole mass in terms of the MSR mass. A careful investigation of scale variation reveals that, while n = 1, 2 states are well behaved within perturbation theory, n = 3 bound states are no longer reliable. We carry out our analysis in the n = 3 and n = 4 schemes and conclude that, as long as finite m effects are smoothly incorporated in the MSR mass definition, the difference between the two schemes is rather small. Performing a fit to bound states we find = 4.216 ± 0.039 GeV. We extend our analysis to the lowest lying charmonium states finding = 1.273 ± 0.054 GeV. Finally, we perform simultaneous fits for and α finding . Additionally, using a modified version of the MSR mass with lighter massive quarks we are able to predict the uncalculated virtual massive quark corrections to the relation between the and pole masses.Note:
- 41 pages, 13 figures and 5 tables. v2: Extended discussion on non-perturbative effects, minor typos corrected, published version
- Quark Masses and SM Parameters
- Effective Field Theories
- Heavy Quark Physics
- Perturbative QCD
- bottomonium
- bottom: mass
- charmonium
- charm: mass
- mass: pole
- mass: effect
References(72)
Figures(27)