论文标题
Feynman在背景场量规上的中断规则
The Feynman rules for the SMEFT in the background field gauge
论文作者
论文摘要
我们提出了一个用于Feynrules的软件包,该软件包将使用标准模型有效字段理论的Feynman规则推广到使用量规固定的背景字段方法的尺寸六。该软件包包括将Lagrangian的动力学和质量项的操作员始终如一地将Lagrangian的动力学和质量术语转移到尺寸八方,包括六平方效应。据作者所知,这是第一个始终包含六个平方效应的公开软件包。该软件包在合作伙伴出版物中通过分析Dimension-Six和One-loop订单的病房身份来验证。我们还通过包括六个平方效应进一步证明其实施的一致性,扩展了本文中的合作伙伴工作。在这样做的过程中,我们发现未能始终如一地将场转向二维平方的野外转移会导致病房身份的崩溃,这意味着对文献中许多计算的担忧,这些计算无法正确纳入这些效果。 可以从Feynrules网站下载Feynrules文件以及执行相关计算的Mathematica笔记本,并将其作为辅助文件包含在本出版物中。
We present a package for FeynRules which derives the Feynman rules for the Standard Model Effective Field Theory up to dimension-six using the background field method for gauge fixing. The package includes operators which shift the kinetic and mass terms of the Lagrangian up to dimension-eight and including dimension-six squared effects consistently. To the best of the author's knowledge this is the first publicly available package to include dimension-six squared effects consistently. The package is validated in a partner publication by analyzing the Ward Identities at dimension-six and one-loop order. We also extend the partner work in this article by including the dimension-six squared effects further demonstrating the consistency of their implementation. In doing so we find that failure to consistently include field shifts to dimension-six squared causes a breakdown in the Ward identities implying concerns about many calculations in the literature which do not properly incorporate these effects. The FeynRules files, as well as Mathematica notebooks performing the relevant calculations, can be downloaded from the FeynRules website and are included as ancillary files to this publication.