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

Y. Kiyo·Y. Sumino
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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.

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Y. Kiyo, Y. Sumino. 2000-11-08. O(alpha_s^5 m) quarkonium 1S spectrum in large-beta_0 approximation and renormalon cancellation. https://doi.org/10.1016/s0370-2693(00)01282-x

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