We study the spectra of the bottomonium and Bc states within perturbative QCD up to order αs4. The script O(ΛQCD) renormalon cancellation between the static potential and the pole mass is performed in the ε-expansion scheme. We extend our previous analysis by including the (dominant) effects of nonzero charm-quark mass in loops up to the next-to-leading nonvanishing order ε3. We fix the b-quark MS mass mb ≡mbMS(mbMS) on Υ (1S) and compute the higher levels. The effect of the charm mass decreases mb by about 11 MeV and increases the n=2 and n=3 levels by about 70-100 MeV and 240-280 MeV, respectively. We provide an extensive quantitative analysis. The size of nonperturbative and higher order contributions is discussed by comparing the obtained predictions with the experimental data. An agreement of the perturbative predictions and the experimental data depends crucially on the precise value (inside the present error) of αs(MZ). We obtain mbMS(mbMS) = 4190±20±25±3 MeV.
|Number of pages||3060109|
|Journal||Physical Review D - Particles, Fields, Gravitation and Cosmology|
|Publication status||Published - 2002 Feb 1|
ASJC Scopus subject areas
- Physics and Astronomy (miscellaneous)