Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2005-01-31
Nucl.Phys.B714:67-90,2005
Physics
High Energy Physics
High Energy Physics - Phenomenology
24 pages, LaTeX, v2: eq.(30) corrected (-13/8->-15/8)
Scientific paper
10.1016/j.nuclphysb.2005.02.028
We obtain analytic expressions for the third-order corrections due to the strong interaction Coulomb potential to the S-wave Green function, energy levels and wave functions at the origin for arbitrary principal quantum number n. Together with the known non-Coulomb correction this results in the complete spectrum of S-states up to order alpha_s^5. The numerical impact of these corrections on the Upsilon spectrum and the top quark pair production cross section near threshold is estimated.
Beneke Martin
Kiyo Yuichiro
Schuller K.
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