Renormalon resummation with a holomorphic timelike coupling yields estimates for b and c quark pole masses and related hadronic parameters from MS-bar inputs and known series coefficients.
The chromomagnetic moment of a heavy quark with hyperasymptotic precision
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abstract
We determine the normalization of the leading infrared renormalon of the chromomagnetic moment of a heavy quark. Estimates of higher order coefficients of the perturbative series are given. We compute the hyperfine splitting of the $B$ and $D$ mesons for the ground state with hyperasymptotic precision by including the leading terminant, associated with the first infrared renormalon. We fit the experimental data to the operator product expansion theoretical prediction with $\hat \mu^2_{G,\rm PV}$ as the free parameter. We obtain $\hat \mu^2_{G,\rm PV}=0.507(7)$ GeV$^2$ for the ground state.
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Renormalon-based resummation for B(D) Mesons
Renormalon resummation with a holomorphic timelike coupling yields estimates for b and c quark pole masses and related hadronic parameters from MS-bar inputs and known series coefficients.