QCD corrections to vector boson self-energies in the standard model

Abstract The O (α_s ) corrections to the vacuum polarization tensor of the gauge bosons are presented for both light and heavy quark flavours in the standard model of electroweak interactions on the basis of a running coupling constant α_s . The influence of Υ{hooked}, T_band θ resonance as well as the proper threshold behaviour of the imaginary part of the vacuum polarization function are incorporated in the analysis. The real part is calculated numerically through the properly subtracted dispersio... Title of program: QCDPI Catalogue Id: ABRC_v1_0 Nature of problem In principle, one can calculate self-energy graphs by using ordinary Feynman integral techniques and e.g. the dimensional regularization method. However, the direct calculation of the considered two-loop amplitude disregards important physical features such as the energy dependence of the strong coupling constant alpha s and the existence of boundstate resonances in the threshold region. Dispersion relations, which allow to compute the real part of an analytic function from its imaginary part, p ... Versions of this program held in the CPC repository in Mendeley Data ABRC_v1_0; QCDPI; 10.1016/0010-4655(90)90065-9 This program has been imported from the CPC Program Library held at Queen's University Belfast (1969-2018)

# 摘要
本文基于跑动耦合常数$oldsymbol{alpha_s}$（running coupling constant $alpha_s$），在电弱相互作用标准模型框架下，给出了规范玻色子（gauge bosons）真空极化张量的$oldsymbol{O(alpha_s)}$阶修正，覆盖轻、重夸克味。分析中纳入了Υ介子（Upsilon）、$T_b$共振态与$ heta$共振态的影响，以及真空极化函数虚部的阈值行为。实部通过适当减项的色散关系进行数值计算（原文此处截断为`dispersio...`）。

## 程序名称：QCDPI
## 目录编号：ABRC_v1_0
## 问题本质
原则上可通过常规费曼积分技术（Feynman integral techniques）结合维数正规化方法（dimensional regularization method）等手段计算自能图，但直接对本文所考量的两圈振幅（two-loop amplitude）进行计算，会忽略诸多关键物理特性：例如强耦合常数$alpha_s$的能量依赖行为，以及阈值区域内束缚态共振（boundstate resonances）的存在。色散关系可通过解析函数的虚部求解其实部，……（原文此处截断）

## Mendeley数据CPC库留存版本
ABRC_v1_0; QCDPI; 10.1016/0010-4655(90)90065-9

本程序源自贝尔法斯特女王大学馆藏的CPC程序库（1969-2018年）。