Potential NRQCD and Heavy-Quarkonium Spectrum at Next-to-Next-to-Next-to-Leading Order

A.A. Penin; B.A. Kniehl; M. Steinhauser; V.A. Smirnov

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arxiv hep-ph/0203166 v1 pith:XM4BBEPD submitted 2002-03-18 hep-ph

Potential NRQCD and Heavy-Quarkonium Spectrum at Next-to-Next-to-Next-to-Leading Order

B.A. Kniehl , A.A. Penin , V.A. Smirnov , M. Steinhauser This is my paper

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keywords heavy-quarkoniumcalculationscontributionshamiltoniannext-to-next-to-next-to-leadingorderpotentialspectrum

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The next-to-next-to-next-to-leading order (N^3LO) Hamiltonian of potential nonrelativistic QCD is derived. The complete matching of the Hamiltonian and the contribution from the ultrasoft dynamical gluons relevant for perturbative bound-state calculations is performed including one-, two-, and three-loop contributions. The threshold expansion is used to disentangle and match contributions of different scales in the effective-theory calculations. As a physical application, the heavy-quarkonium spectrum is obtained at N^3LO for the case of vanishing QCD beta function. Our results set the stage for a full N^3LO analysis of the heavy-quarkonium system.

Potential NRQCD and Heavy-Quarkonium Spectrum at Next-to-Next-to-Next-to-Leading Order

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