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

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

2000-07-24

arxiv.org/abs/hep-ph/0007251v2

Phys.Lett. B496 (2000) 83-88

Physics

High Energy Physics

High Energy Physics - Phenomenology

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

Scientific paper

10.1016/S0370-2693(00)01282-X

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.

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