Corrections to quarkonium 1S energy level at O(alphaS4 m) from non-instantaneous Coulomb vacuum polarization
Y. Kiyo, Y. Sumino
Abstract
We calculate O(alphaS4 m) and O(alphaS4 m log(alphaS)) corrections to the quarkonium 1S energy level analytically, which have been overlooked in recent studies. These are the contributions from one Coulomb-gluon exchange with the 1-loop vacuum polarization insertion. A part of the corrections was computed numerically some time ago; we correct its error.
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