S-wave heavy quarkonium spectrum with next-to-next-to-next-to-leading logarithmic accuracy

C. Anzai; D. Moreno; A. Pineda

doi:10.1103/PhysRevD.98.114034

S-wave heavy quarkonium spectrum with next-to-next-to-next-to-leading logarithmic accuracy

High Energy Physics - Phenomenology 2019-01-02 v2

Authors: C. Anzai , D. Moreno , A. Pineda

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Abstract

We obtain the Potential NRQCD Lagrangian relevant for S-wave states with next-next-to-next-to-leading logarithmic (NNNLL) accuracy. We compute the heavy quarkonium mass of spin-averaged $l= 0$ (angular momentum) states, with otherwise arbitrary quantum numbers, with NNNLL accuracy. These results are complete up to a missing contribution of the two-loop soft running.

Keywords

potential nrqcd s-wave heavy quarkonium nnnll accuracy quarkonium mass spectrum spin-averaged states soft running

Cite

@article{arxiv.1810.11031,
  title  = {S-wave heavy quarkonium spectrum with next-to-next-to-next-to-leading logarithmic accuracy},
  author = {C. Anzai and D. Moreno and A. Pineda},
  journal= {arXiv preprint arXiv:1810.11031},
  year   = {2019}
}

Comments

44 pages, 11 figures; v2: 45 pages. Minor changes in the text. Small modifications in Figs. 1 and 10. Eqs. 74 and 75 modified. Conclusions unchanged. Journal version

S-wave heavy quarkonium spectrum with next-to-next-to-next-to-leading logarithmic accuracy

Abstract

Keywords

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