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

Autor:	Khan, M. S. A. Alam
Rok vydání:	2023
Předmět:	High Energy Physics - Phenomenology High Energy Physics - Lattice
Druh dokumentu:	Working Paper
Popis:	We determine $\alpha_s$, $m_c$, 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 $\alpha_s^{\left(n_f=5\right)}(M_Z)=0.1171(7)$, $\overline{m}_c=1281.1(3.8)\hspace{.4mm}\mathrm{MeV}$, and $\overline{m}_b=4174.3(9.5)\hspace{.4mm}\mathrm{MeV}$. Comment: 17 pages and 5 figures. References added, figures updated, and minor text corrections. Version accepted for publication is Phys. Rev. D
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2306.10323 Zobrazit plný text záznamu View this record from Arxiv