A QCD method that subtracts and Borel-sums factorially growing high-order terms improves the stability of perturbative series for the static energy, pole mass, and Bjorken sum rule.
Strong coupling in (2+1+1)-flavor QCD
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abstract
The strong coupling $\alpha_\mathrm{s}$ can be obtained from the static energy as shown in previous lattices studies. For short distances, the static energy can be calculated both on the lattice with the use of Wilson line correlators, and with the perturbation theory up to three loop accuracy with leading ultrasoft log resummation. Comparing the perturbative expression and lattice data allows for precise determination of $\alpha_\mathrm{s}(m_Z)$. We will present preliminary results for the determination of $\alpha_\mathrm{s} {(M_Z)}$ in (2+1+1)-flavor QCD using the configurations made availableby the MILC-collaboration with smallest lattice spacing reaching 0.0321fm.
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Factorial growth in perturbation theory, power corrections: precise extraction of quark masses and $\alpha_\text{s}$
A QCD method that subtracts and Borel-sums factorially growing high-order terms improves the stability of perturbative series for the static energy, pole mass, and Bjorken sum rule.