Bottomonium Hyperfine Splitting on the Lattice and in the Continuum

Abstract

We revise the analysis of the bottomonium hyperfine splitting within the lattice nonrelativistic QCD. The Wilson coefficients of the radiatively improved lattice action are evaluated by a semianalytic approach based on the asymptotic expansion about the continuum limit. The nonrelativistic renormalization group is used to estimate the high-order radiative corrections. Our result for the $1S$ hyperfine splitting is $M_{{\rm Y}(1S)}-M_{{\eta }_b(1S)}=52.9\pm 5.5\mathrm{MeV}$. It reconciles the predictions of the continuum and lattice QCD and is in very good agreement with the most accurate experimental measurement by Belle collaboration.

6 pages, 2 figures, journal version

References in corpus (4)

• Bottomonium spectrum at order v^6 from domain-wall lattice QCD: precise results for hyperfine splittings
• Evidence for the eta_b(2S) and observation of h_b(1P) -> eta_b(1S) gamma and h_b(2P) -> eta_b(1S) gamma
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Cited by in corpus (4)

• Spectrum and electromagnetic transitions of bottomonium
• Bottomonium spectrum with a Dirac potential model in the momentum space
• Coulomb Artifacts and Bottomonium Hyperfine Splitting in Lattice NRQCD
• Hyperfine splitting in the bottomonium system on the lattice and in the continuum