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arXiv · 2306.10323

Renormalization group improved determination of $α_s$, $m_c$, and $m_b$ from the low energy moments of heavy quark current correlators

M. S. A. Alam Khan
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Abstract

We determine $α_s$, $m_c$, and $m_b$ using the relativistic quarkonium sum rule and the renormalization group summed perturbation theory (RGSPT). Theoretical uncertainties, especially originating from the variation of the renormalization scale, are considerably reduced for the higher moments. Our determinations using RGSPT are also found to be stable with respect to the use of $\overline{\text{MS}}$ quark mass for the condensate terms. We obtain $α_s^{\left(n_f=5\right)}(M_Z)=0.1171(7)$, $\overline{m}_c=1281.1(3.8)\hspace{.4mm}\mathrm{MeV}$, and $\overline{m}_b=4174.3(9.5)\hspace{.4mm}\mathrm{MeV}$.

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M. S. A. Alam Khan. 2023-10-16. Renormalization group improved determination of $α_s$, $m_c$, and $m_b$ from the low energy moments of heavy quark current correlators. https://arxiv.org/abs/2306.10323

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