Higher-order Effects in Electroweak Interactions

电弱相互作用中的高阶效应

基本信息

批准号：
60540184
负责人：
WAKAIZUMI Seiichi
金额：
$ 1.22万
依托单位：
Hiroshima University
依托单位国家：
日本
项目类别：
Grant-in-Aid for General Scientific Research (C)
财政年份：
1985
资助国家：
日本
起止时间：
1985 至 1986
项目状态：
已结题

项目摘要

The subject of this project is to test SU (2)(]sy.crosprd.[)U(1) standard theory of the electroweak interactions, especially its field-theoretical aspect, by the investigation of the higher-order effects of the theory on various electroweak processes. Under this project, we have done a research into the radiative corrections in the one-loop level to the process e<@D1+@>D1e<@D1-@>D1 W<@D1+@>D1W<@D1-@>D1 and the rare decays of K and B mesons and Z<@D10@>D1-boson. We describe in the following main results of our investigation.1. In order to calculate the 1-loop corrected amplitude, we develop the general formula for the loop-integrals of the 1-loop vertex function and the box diagram, and we construct a program with which one can algebraically generate the amplitude in the "REDUCE", using the formula, on the basis of the most general amplitude formalism for the vertex function of three-gauge boson coupling and the box diagram. With these tools, we calculate the amplitudes in the Feynman gauge for 1-loop virtual correction for e^+e^- W W^-. Then, soft-photon emission amplitudes are obtained and a procedure of analytically esparating the infra-red divergences from both the vertex function and the box function is established.2. We study the effect of W-boson width on the total cross-section of e^+e^- W W^- and find its effect to be as much as 5%. this turns out to significantly affect the determination of the W-boson mass from measurement of the total cross-sections. Also, we anlyze the effect of the extra-Z boson inspired by the super-string theory on e^+e^- W W^- . The cross-sections show a remarkable feature and turn out to be detectable by experiments.

该项目的主题是通过研究理论的高阶效应来测试电弱相互作用的 SU (2)(]sy.crosprd.[)U(1) 标准理论，特别是其场论方面各种弱电过程。在本项目中，我们对过程e<@D1+@>D1e<@D1-@>D1 W<@D1+@>D1W<@D1-@>D1进行了单回路水平的辐射修正研究。以及 K 和 B 介子以及 Z<@D10@>D1-玻色子的罕见衰变。我们的调查主要结果如下： 1．为了计算 1 环校正幅度，我们开发了 1 环顶点函数和箱形图的环积分的通用公式，并构建了一个程序，用它可以代数生成“REDUCE”中的幅度。 ”，使用该公式，基于三规范玻色子耦合的顶点函数和箱线图的最一般振幅形式。使用这些工具，我们计算费曼规中的振幅，以进行 e^+e^- W W^- 的 1 环虚拟校正。然后，获得软光子发射幅度，并建立了从顶点函数和盒函数解析分离红外发散的程序。 2．我们研究了 W 玻色子宽度对 e^+e^- W W^- 总横截面的影响，发现其影响高达 5%。事实证明，这显着影响了通过测量总横截面来确定 W 玻色子质量。此外，我们还分析了受超弦理论启发的额外 Z 玻色子对 e^+e^- W W^- 的影响。横截面显示出显着的特征，并且可以通过实验检测到。