SmeftFR – Feynman rules generator for the Standard Model Effective Field Theory

We present SmeftFR, a Mathematica package designed to generate the Feynman rules for the Standard Model Effective Field Theory (SMEFT) including the complete set of gauge invariant operators up to dimension 6. Feynman rules are generated with the use of FeynRules package, directly in the physical (mass eigenstates) basis for all fields. The complete set of interaction vertices can be derived including all or any chosen subset of SMEFT operators. As an option, the user can also choose preferred gauge fixing, generating Feynman rules in unitary or R_ξ-gauges (the latter include generation of ghost vertices). Further options allow to treat neutrino fields as massless Weyl or massive Majorana fermions. The derived Lagrangian in the mass basis can be exported in various formats supported by FeynRules, such as UFO, FeynArts, etc. Initialisation of numerical values of d=6 Wilson coefficients used by SmeftFR is interfaced to WCxf format. The package also includes dedicated Latex generator allowing to print the result in clear human-readable form. SmeftFR can be downloaded from the address www.fuw.edu.pl/smeft.

本研究推出SmeftFR——一款专为标准模型有效场论（Standard Model Effective Field Theory，SMEFT）生成费曼规则的Mathematica软件包，可涵盖维度不超过6的全部规范不变算子集合。该软件包依托FeynRules软件包生成费曼规则，直接采用所有场的物理（质量本征态）基矢。可推导得到完整的相互作用顶点集合，涵盖全部SMEFT算子或任意选定的算子子集。用户可自选偏好的规范固定方案，生成幺正规范或R_ξ规范下的费曼规则（后者包含鬼顶点的生成）。此外还提供额外选项，可将中微子场处理为无质量外尔费米子或有质量马约拉纳费米子。推导得到的质量基矢拉格朗日量可导出为FeynRules支持的多种格式，例如UFO、FeynArts等。SmeftFR所用的六维威尔逊系数的数值初始化功能，可与WCxf格式对接。该软件包还内置专用的LaTeX生成器，可将结果输出为清晰易懂的人类可读格式。用户可通过网址www.fuw.edu.pl/smeft下载SmeftFR。