电弱1圈振幅有理部分的费曼规则
高能物理 - 唯象学
2010-10-28 v2
摘要
我们给出了产生R_2类有理项所需的完整费曼规则集，用于在电弱标准模型中进行任意1圈计算。我们的结果以't Hooft-Veltman和四维螺旋度正则化方案给出。我们还通过使用't Hooft-Feynman规范和背景场方法，验证了电弱振幅完整有理部分的大量Ward恒等式（最多4点）。这为我们的结果提供了严格检验，并作为副产品，在完整标准模型的1圈水平上明确检验了四维螺旋度正则化方案的规范不变性。本文给出的公式提供了在OPP方法框架下完全自动化SU(3) X SU(2) X U(1)标准模型中1圈计算的最后缺失部分。
引用
@article{arxiv.0910.3130,
title = {Feynman rules for the rational part of the Electroweak 1-loop amplitudes},
author = {M. V. Garzelli and I. Malamos and R. Pittau},
journal= {arXiv preprint arXiv:0910.3130},
year = {2010}
}
备注
Many thanks to Huasheng Shao for having recomputed, independently of us, all of the ${\rm R_2}$ effective vertices. Thanks to his help and by comparing with an independent computation we performed in a general $R_\xi$ gauge, we could fix, in the present version, the following formulae: the vertex $A l \bar l$ in Eq. (3.6), the vertex $Z \phi^+ \phi^-$ in Eq. (3.8), Eqs (3.16), (3.17) and (3.18)