Renormalization group improvement and QCD sum rules

Q4 Physics and Astronomy

Nuclear and Particle Physics Proceedings Pub Date : 2024-06-01 DOI:10.1016/j.nuclphysbps.2023.11.004

M.S.A. Alam Khan

引用次数: 0

Abstract

We summarize the results obtained for the quark masses (u,d,s,c, and b) in Refs. [1], [2] and strong coupling ( $α_{s}$ ) using renormalization group (RG) improvement of the theoretical expressions and experimental inputs that enter in the QCD sum rules. We obtain $m_{u} (2 GeV) = {2.00}_{- 0.40}^{+ 0.33} MeV$ , $m_{d} (2 GeV) = {4.21}_{- 0.45}^{+ 0.48} MeV$ , and $m_{s} (2 GeV) = {104.34}_{- 4.24}^{+ 4.32} MeV$ using Borel Laplace sum rules for the divergence of the axial vector currents. The relativistic sum rules for the moments of the heavy quark currents lead to the determination of $α_{s} (M_{Z}) = 0.1171 (7)$ , ${\overline{m}}_{c} = 1281.1 (3.8) MeV$ and ${\overline{m}}_{b} = 4174.3 (9.5) MeV$ .

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重正化群改进与 QCD 和则

我们总结了参考文献[1]、[2]中关于夸克质量（u、d、s、c 和 b）和强耦合（αs）的结果，并使用重正化群（RG）改进了 QCD 和则中的理论表达式和实验输入。我们利用博雷尔拉普拉斯轴向矢量电流发散和规则，得到了mu(2GeV)=2.00-0.40+0.33MeV、md(2GeV)=4.21-0.45+0.48MeV和ms(2GeV)=104.34-4.24+4.32MeV。重夸克电流矩的相对论和规则导致测定了αs(MZ)=0.1171(7)、m‾c=1281.1(3.8)MeV和m‾b=4174.3(9.5)MeV。

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来源期刊

Nuclear and Particle Physics Proceedings Physics and Astronomy-Nuclear and High Energy Physics

CiteScore

0.40

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0.00%

发文量

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