English

Perturbative heavy quarkonium spectrum at next-to-next-to-next-to-leading order

High Energy Physics - Phenomenology 2015-06-17 v2 High Energy Physics - Lattice

Abstract

We compute the energy levels of some of the lower-lying heavy quarkonium states perturbatively up to O(alpha_s^5*m) and O(alpha_s^5*m*log[alpha_s]). Stability of the predictions depends crucially on the unknown 4-loop pole-MSbar mass relation. We discuss the current status of the predictions with respect to the observed bottomonium spectrum.

Keywords

Cite

@article{arxiv.1309.6571,
  title  = {Perturbative heavy quarkonium spectrum at next-to-next-to-next-to-leading order},
  author = {Y. Kiyo and Y. Sumino},
  journal= {arXiv preprint arXiv:1309.6571},
  year   = {2015}
}

Comments

Short review on non-perturbative contributions included at the end; version to appear in Phys.Lett.; 7 pages, 2 figures