The QCD heavy-quark potential to order v^2: one loop matching conditions

Details The QCD heavy-quark potential to order v^2: one loop matching conditions The QCD heavy-quark potential to order v^2: one loop matching conditions

2000-03-06

arxiv.org/abs/hep-ph/0003032v2

Phys.Rev. D62 (2000) 074015

Physics

High Energy Physics

High Energy Physics - Phenomenology

28 pages, References added and minor changes to section III, results unchanged

Scientific paper

10.1103/PhysRevD.62.074015

The one-loop QCD heavy quark potential is computed to order v^2 in the color singlet and octet channels. Several errors in the previous literature are corrected. To be consistent with the velocity power counting, the full dependence on |p' + p|/|p' - p| is kept. The matching conditions for the NRQCD one-loop potential are computed by comparing the QCD calculation with that in the effective theory. The graphs in the effective theory are also compared to terms from the hard, soft, potential, and ultrasoft regimes in the threshold expansion. The issue of off-shell versus on-shell matching and gauge dependence is discussed in detail for the 1/(m k) term in the potential. Matching on-shell gives a 1/(m k) potential that is gauge independent and does not vanish for QED.

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