论文标题

$ z $ -BOSON HADRONIC衰减宽度最高为$ \ MATHCAL {O}(α_s^4)$ - 使用最大保构原理的单尺度方法订购QCD校正

$Z$-boson hadronic decay width up to $\mathcal{O}(α_s^4)$-order QCD corrections using the single-scale approach of the principle of maximum conformality

论文作者

Huang, Xu-Dong, Wu, Xing-Gang, Zheng, Xu-Chang, Yu, Qing, Wang, Sheng-Quan, Shen, Jian-Ming

论文摘要

在论文中,我们通过使用$ \ nathcal {o}(α_s^4)$ - 订购量子量子染色体动力学(QCD)校正来研究$ z $ -BOSON HADRONIC衰减宽度的属性。通过使用PMC单尺度方法,我们获得了$ z $ -Boson Hadronic衰变宽度的准确的重新归一化尺度和独立扰动QCD(PQCD)校正,该宽度宽度独立于任何重新分配量表的选择。应用PMC后,已经获得了更收敛的PQCD系列。以及未知$ \ MATHCAL {O}(α_s^5)$ - 订单项的贡献高度抑制,例如保守地,我们有$Δγ_{\ rm z}^{\ rm} |^{{\ cal o}(α_s^5)} _ {\ rm pmc} \ simeq \ simeq \ pm 0.004 $ mev。结合已知的电动(EW)校正,QED更正,EW-QCD混合校正和QED-QCD混合更正,我们对HADRONIC $ Z $衰减宽度的最终预测为$γ_{\ rm z}与PDG全球实验尺寸相吻合,$ 1744.4 \ pm 2.0 $ MEV。

In the paper, we study the properties of the $Z$-boson hadronic decay width by using the $\mathcal{O}(α_s^4)$-order quantum chromodynamics (QCD) corrections with the help of the principle of maximum conformality (PMC). By using the PMC single-scale approach, we obtain an accurate renormalization scale-and-scheme independent perturbative QCD (pQCD) correction for the $Z$-boson hadronic decay width, which is independent to any choice of renormalization scale. After applying the PMC, a more convergent pQCD series has been obtained; and the contributions from the unknown $\mathcal{O}(α_s^5)$-order terms are highly suppressed, e.g. conservatively, we have $ΔΓ_{\rm Z}^{\rm had}|^{{\cal O}(α_s^5)}_{\rm PMC}\simeq \pm 0.004$ MeV. In combination with the known electro-weak (EW) corrections, QED corrections, EW-QCD mixed corrections, and QED-QCD mixed corrections, our final prediction of the hadronic $Z$ decay width is $Γ_{\rm Z}^{\rm had}=1744.439^{+1.390}_{-1.433}$ MeV, which agrees with the PDG global fit of experimental measurements, $1744.4\pm 2.0$ MeV.

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