Using five lattice spacings with physical quark masses, the authors obtain Gamma(h_c->eta_c gamma)=0.604(24) MeV and the first lattice QCD estimate Gamma(h_b->eta_b gamma)=46.0(4.8) keV.
Revision of results on $\Upsilon(1S)$, $\Upsilon(2S)$, and $\Upsilon(3S)$ masses
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We have reconsidered the results on the masses of the narrow bottomonium states $\Upsilon(1S)$--$\Upsilon(3S)$ obtained in 1982--1986 at CESR, DORIS and VEPP-4 colliders in order to fix shortcomings of the mass determination procedures. For experiments at CESR and DORIS this includes the incorrect accounting of the radiative corrections and usage of the electron mass value revised in 1986. In analyses of all experiments the interference of the resonance production and the nonresonant process was ignored. The corrected mass values for five experiments are suggested. The corrections vary from 0.1 to 0.4~MeV. The discrepancy between CESR and \mbox{VEPP-4} results on $\Upsilon(1S)$ mass has been reduced from 3.3 to 1.8 standard deviations.
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Lattice QCD determination of the radiative decay rates $h_{c}\to \eta_{c}\, \gamma$ and $h_{b}\to \eta_{b}\, \gamma$
Using five lattice spacings with physical quark masses, the authors obtain Gamma(h_c->eta_c gamma)=0.604(24) MeV and the first lattice QCD estimate Gamma(h_b->eta_b gamma)=46.0(4.8) keV.