O(alpha_s^5 m) quarkonium 1S spectrum in large-beta_0 approximation and renormalon cancellation
High Energy Physics - Phenomenology
2009-10-31 v2
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.
Keywords
Cite
@article{arxiv.hep-ph/0007251,
title = {O(alpha_s^5 m) quarkonium 1S spectrum in large-beta_0 approximation and renormalon cancellation},
author = {Y. Kiyo and Y. Sumino},
journal= {arXiv preprint arXiv:hep-ph/0007251},
year = {2009}
}
Comments
Version to appear in Phys. Lett. B. 9 pages. No figure