We study the spectra of the bottomonium and Bc states within perturbative QCD up to order αs4. The O(A QCD) renormalon cancellation between the static potential and the pole mass is performed in the e-expansion scheme. We extend our previous analysis by including the (dominant) effects of nonzero charmquark mass in loops up,to the next-to-leading nonvanishing order ε3. We fix the b-quark MS̄ mass m̄b ≡mb ̄MS(mb̄MS on Y(1S) and compute the higher levels. The effect of the charm mass decreases m̄b, 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 mb̄MS(mb̄MS)= 4190±20±25±3 MeV.
ASJC Scopus subject areas
- Nuclear and High Energy Physics
- Physics and Astronomy (miscellaneous)