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arXiv · 1504.05979

Bottomonium Hyperfine Splitting on the Lattice and in the Continuum

M. Baker·A. A. Penin·D. Seidel·N. Zerf
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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 $M_{\Upsilon(1S)}-M_{\eta_b(1S)}=52.9\pm 5.5~{\rm MeV}$. 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.

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M. Baker, A. A. Penin, D. Seidel, N. Zerf. 2015-04-22. Bottomonium Hyperfine Splitting on the Lattice and in the Continuum. https://doi.org/10.1103/physrevd.92.054502

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