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

2003/11/30 by Carlos Contreras, C. Contreras, G. Cvetic +3
Physics and Astronomy · #High-Energy Particle Collisions Research #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-ph

paper · pdf · doi:10.1103/physrevd.70.034008

published as Phys.Rev. D70 (2004) 034008 · 23 pages, 8 double figures, revtex4; the version to appear in Phys.Rev.D; extended discussion between Eqs.(25) and (26); the paragraph between Eqs.(32) and (33) is new and explains the numerical dependence of the residue parameter on the factorization scale; several new references were added; acknowledgments were modified; the numerical results are unchanged

arxiv created 2004/04/27 · openalex publication_date 2004/08/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We use various methods of Borel integration to calculate the binding ground energies and masses of bb and tt 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)=2m_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 MS mass m_q and \ensuremathα_s(\ensuremathμ). The renormalization scales \ensuremathμ are different in calculations of m_q, E(s) and E(us). The mass m_b is extracted, and the binding energies E_tt and the peak (resonance) energies E_res. for tt production are obtained.

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