Calculations of binding energies and masses of heavy quarkonia using renormalon cancellation

Details Calculations of binding energies and masses of heavy quarkonia using renormalon cancellation Calculations of binding energies and masses of heavy quarkonia using renormalon cancellation

2003-11-14

arxiv.org/abs/hep-ph/0311202v2

Phys.Rev. D70 (2004) 034008

Physics

High Energy Physics

High Energy Physics - Phenomenology

23 pages, 8 double figures, revtex4; the version to appear in Phys.Rev.D; extended discussion between Eqs.(25) and (26); the p

Scientific paper

10.1103/PhysRevD.70.034008

We use various methods of Borel integration to calculate the binding ground energies and masses of b-bbar and t-tbar quarkonia. The methods take into account the leading infrared renormalon structure of the hard+soft part of the binding energies E(s), and of the corresponding quark pole masses m_q, where the contributions of these singularities in M(s) = 2 m_q + E(s) cancel. Beforehand, we carry out the separation of the binding energy into its hard+soft and ultrasoft parts. The resummation formalisms are applied to expansions of m_q and E(s) in terms of quantities which do not involve renormalon ambiguity, such as MSbar quark mass, and alpha_s. The renormalization scales are different in calculations of m_q, E(s) and E(us). The MSbar mass of b quark is extracted, and the binding energies of t-tbar and the peak (resonance) energies for (t+tbar) production are obtained.

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