Renormalization scale setting for heavy quark pair production in e(+) e(-) annihilation near the threshold region
Renormalization scale setting for heavy quark pair production in e(+) e(-) annihilation near the threshold region
复制标题
阈值区域附近 e( ) e(-) 湮灭中重夸克对产生的重整化尺度设置
DOI：
10.1103/physrevd.102.014005
复制
发表时间：
2020
期刊：
影响因子：
--
通讯作者：
Shen Jian-Ming
中科院分区：
文献类型：
--
作者：
Wang Sheng-Quan;Brodsky Stanley J.;Wu Xing-Gang;Di Giustino Leonardo;Shen Jian-Ming
湮灭过程中重费米子对的产生是强子物理中的一个基本过程，对许多物理现象都有重要意义。在本文中，我们将应用最大保形性（PMC）的原则，提供一个全面的分析这些过程。PMC提供了一个系统的，明确的方法来确定重整化尺度的QCD耦合常数的单尺度和多尺度的应用。由此产生的预测消除任何重整化方案和规模的歧义，消除阶乘重整化发散，并符合重整化群的要求。值得注意的是，在阈区附近，用PMC计算重费米子对的产生，得到了两种截然不同的尺度。一个尺度是费米子质量的量级，它进入硬虚修正，另一个尺度是夸克速度的量级，它进入库仑再散射振幅。PMC尺度产生正确的物理行为，并反映了传播胶子（光子）的QCD（QED）过程的虚拟性。此外，我们证明了PMC标度设置从QCD到QED的一致性。阿贝尔明确Gell-Mann-Low和PMC的规模设置方法之间的完美协议的限制为零的颜色。
Heavy fermion pair production inannihilation is a fundamental process in hadron physics and is of considerable interest for various phenomena. In this paper, we will apply the principle of maximum conformality (PMC) to provide a comprehensive analysis of these processes. The PMC provides a systematic, unambiguous method for determining the renormalization scales of the QCD coupling constant for single-scale and multiple-scale applications. The resulting predictions eliminate any renormalization scheme-and-scale ambiguities, eliminate the factorial renormalon divergences, and are consistent with the requirements of the renormalization group. It is remarkable that two distinctly different scales are determined by using the PMC for heavy fermion pair production near the threshold region. One scale is the order of the fermion mass, which enters the hard virtual corrections, and the other scale is of order, whereis the quark velocity, which enters the Coulomb rescattering amplitude. The PMC scales yield the correct physical behavior and reflect the virtuality of the propagating gluons (photons) for the QCD (QED) processes. Moreover, we demonstrate the consistency of PMC scale setting from QCD to QED. Perfect agreement between the Abelian unambiguous Gell-Mann-Low and the PMC scale-setting methods in the limit of zero number of colors is demonstrated.