Techniques for the Calculation of Electroweak Radiative Corrections at the One‐Loop Level and Results for W‐physics at LEP 200

Techniques for the Calculation of Electroweak Radiative Corrections at the One‐Loop Level and Results for W‐physics at LEP 200
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DOI:
10.1002/prop.2190410402
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发表时间:
2007-09
期刊:
影响因子:
8
通讯作者:
A. Denner
A. Denner
中科院分区:
生物学3区
文献类型:
--
作者:
A. Denner

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我们回顾了在单圈水平上计算虚电弱和软光子修正所需的技术。特别是我们描述重整化,计算单圈积分和评价单圈费曼振幅。我们总结了许多具有普遍意义的明确结果。给出了费曼规则和电弱标准模型的反项的显式表示,给出了标量单圈积分和张量积分约化的解析表达式,给出了两个外费米子过程不变矩阵元的分解,给出了软光子修正的解析形式.这些技术被应用到物理过程与外部W-玻色子。给出了W玻色子和顶夸克衰变宽度的全套解析公式和相应的数值结果。我们讨论了在e+e−湮灭中产生W玻色子的截面,包括所有的O(x)辐射修正和有限宽度效应。给出了这些过程的改进Born近似。
We review the techniques necessary for the calculation of virtual electroweak and soft photonic corrections at the one-loop level. In particular we describe renormalization, calculation of one-loop integrals and evaluation of one-loop Feynman amplitudes. We summarize many explicit results of general relevance. We give the Feynman rules and the explicit form of the counterterms of the electroweak standard model, we list analytical expressions for scalar one-loop integrals and reduction of tensor integrals, we present the decomposition of the invariant matrix element for processes with two external fermions and we give the analytic form of soft photonic corrections. These techniques are applied to physical processes with external W-bosons. We present the full set of analytical formulae and the corresponding numerical results for the decay width of the W-boson and the top quark. We discuss the cross section for the production of W-bosons in e+e− annihilation including all O(x) radiative corrections and finite width effects. Improved Born approximations for these processes are given.