Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
10722467 | Physics Letters B | 2012 | 5 Pages |
Abstract
We test the convergence of the QCD exponential sum rules by including PT corrections to order αs3 and the NP contributions up to dimension D=8 condensates. Then, using the ratio of exponential sum rules where the QCD PT series is more convergent, we study the correlation between the gluon condensates ãαsG2ã and ãg3fabcG3ã. From charmonium systems and using the charm quark mass as input, we deduce: ãg3fabcG3ã=(8.2±1.0)GeV2ÃãαsG2ã corresponding to ãαsG2ã=(7.5±2.0)Ã10â2GeV4. Using these results for the bottomium systems, we obtain: m¯b(m¯b)=4212(32)MeV, which is slightly higher but consistent within the errors with the ones from Q2-moments and their ratios m¯b(m¯b)=4172(12)MeV. We are tempted to consider as a final result from the sum rules approaches, the average m¯b(m¯b)=4177(11)MeV of the two previous determinations.
Related Topics
Physical Sciences and Engineering
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Nuclear and High Energy Physics
Authors
Stephan Narison,