Full formula for heavy quarkonium energy levels at next-to-next-to-next-to-leading order

Y. Kiyo, Y. Sumino

Research output: Contribution to journalArticlepeer-review

23 Citations (Scopus)

Abstract

We derive a full formula for the energy level of a heavy quarkonium state identified by the quantum numbers n, ℓ, s and j, up to O(αs5m) and O(αs5mlogαs) in perturbative QCD. The QCD Bethe logarithm is given in a one-parameter integral form. The rest of the formula is given as a combination of rational numbers, transcendental numbers (π, ζ(3), ζ(5)) and finite sums (besides the 3-loop constant -3 of the static potential whose full analytic form is still unknown). A derivation of the formula is given.

Original languageEnglish
Pages (from-to)156-191
Number of pages36
JournalNuclear Physics B
Volume889
DOIs
Publication statusPublished - 2014 Dec 1

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

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