论文标题

重新访问底部的夸克前后不对称$ a _ {\ rm {fb}} $ in Electron-Positron碰撞

Revisiting the Bottom Quark Forward-Backward Asymmetry $A_{\rm {FB}}$ in Electron-Positron Collisions

论文作者

Wang, Sheng-Quan, Meng, Rui-Qing, Wu, Xing-Gang, Chen, Long, Shen, Jian-Ming

论文摘要

底部的夸克向前不对称$ a _ {\ rm {fb}} $是在$ z^{0} $ peach处的电子 - 峰碰撞中可观察到的关键。在本文中,我们采用了最大综合性(PMC)的原则来修复$α_s$ - 临时订单QCD校正的$α_s$ - 运行行为,以$ a _ {\ rm {fb}} $。此$ a _ {\ rm {fb}} $的结果PMC比例比常规选择$μ_r= m_z $小。该量表具有物理合理的行为,并反映了其QCD动力学的虚拟性,这与重新归一化量表的选择无关。我们的分析表明,除了常规建议的$μ_r= m_z $以外,底部夸克前向不对称的有效动量流程应为$μ_r\ ll m_z $。此外,使用PMC大大改善了$ a _ {\ rm {fb}} $的扰动QCD系列的收敛性。我们对裸底夸克前后不对称的预测为$ a^{0,b} _ {\ rm fb} = 0.1004 \ pm0.0016 $,这减少了可观察到的(PSEUDO)可观察到的标准模型拟合的实验性确定与2.2.1 $ 2.1的实验性确定之间的众所周知的张力。

The bottom quark forward-backward asymmetry $A_{\rm{FB}}$ is a key observable in electron-positron collisions at the $Z^{0}$ peak. In this paper, we employ the Principle of Maximum Conformality (PMC) to fix the $α_s$-running behavior of the next-to-next-to-leading order QCD corrections to $A_{\rm{FB}}$. The resulting PMC scale for this $A_{\rm{FB}}$ is an order of magnitude smaller than the conventional choice $μ_r=M_Z$. This scale has the physically reasonable behavior and reflects the virtuality of its QCD dynamics, which is independent to the choice of renormalization scale. Our analyses show that the effective momentum flow for the bottom quark forward-backward asymmetry should be $μ_r\ll M_Z$ other than the conventionally suggested $μ_r=M_Z$. Moreover, the convergence of perturbative QCD series for $A_{\rm{FB}}$ is greatly improved using the PMC. Our prediction for the bare bottom quark forward-backward asymmetry is refined to be $A^{0,b}_{\rm FB}=0.1004\pm0.0016$, which diminishes the well known tension between the experimental determination for this (pseudo) observable and the respective Standard Model fit to $2.1σ$.

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