O(alpha_s^5 m) quarkonium 1S spectrum in large-beta_0 approximation and renormalon cancellation

Abstract

Presently the quarkonium spectrum, written in terms of the quark MSbar-mass, is known at O(alpha_s^3 m) accuracy. We point out that in order to achieve O(alpha_s^4 m) accuracy it is sufficient to calculate further (I) the O(alpha_s^4 m) relation between the MSbar-mass and the pole-mass, and (II) the binding energy at O(alpha_s^5 m) in the large-beta_0 approximation. We calculate the latter correction analytically for the 1S-state and study its phenomenological implications.

Version to appear in Phys. Lett. B. 9 pages. No figure

References in corpus (2)

• The three loop relation between the \bar {MS} and the pole quark masses
• Renormalon Cancellation in Heavy Quarkonia and Determination of m_b, m_t

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