Corrections to quarkonium 1S energy level at O(alpha_S^4 m) from non-instantaneous Coulomb vacuum polarization

Details Corrections to quarkonium 1S energy level at O(alpha_S^4 m) from non-instantaneous Coulomb vacuum polarization Corrections to quarkonium 1S energy level at O(alpha_S^4 m) from non-instantaneous Coulomb vacuum polarization

2001-12-26

arxiv.org/abs/hep-ph/0112328v2

Physics

High Energy Physics

High Energy Physics - Phenomenology

RevTeX4, 4 pages, 2 figures; (v2) A crucial reference is included; we correct its error

Scientific paper

We calculate O(alpha_S^4 m) and O(alpha_S^4 m log(alpha_S)) 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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