minimal-lagrangians: Generating and studying dark matter model Lagrangians with just the particle content

minimal-lagrangians is a Python program which allows one to specify the field content of an extension of the Standard Model of particle physics and, using this information, to generate the most general renormalizable Lagrangian that describes such a model. As the program was originally created for the study of minimal dark matter models with radiative neutrino masses, it can handle additional scalar or Weyl fermion fields which are SU (3)_C singlets, SU (2)_L singlets, doublets or triplets, and can have arbitrary U (1)_Y hypercharge. It is also possible to enforce an arbitrary number of global U (1) symmetries (with Z_2 as a special case) so that the new fields can additionally carry such global charges. In addition to human-readable and LaTeX output, the program can generate SARAH model files containing the computed Lagrangian, as well as information about the fields after electroweak symmetry breaking (EWSB), such as vacuum expectation values (VEVs) and mixing matrices. This capability allows further detailed investigation of the model in question, with minimal-lagrangians as the first component in a tool chain for rapid phenomenological studies of “minimal” dark matter models requiring little effort and no unnecessary input from the user.`minimal-lagrangians`是一款Python程序，可用于指定粒子物理标准模型扩展版本的场内容，并基于该信息生成描述此类模型的最一般可重整化拉格朗日量（Lagrangian）。由于该程序最初是为研究具有辐射中微子质量的极小暗物质模型而开发的，因此它可处理额外的标量场或外尔费米子（Weyl fermion）场：这些场可为SU(3)_C单态、SU(2)_L单态、二重态或三重态，且可带有任意U(1)_Y超荷。此外，该程序还支持施加任意数量的整体U(1)对称性（Z_2为其特殊情形），从而使新场可额外携带此类整体荷。除支持人类可读格式与LaTeX输出外，该程序还可生成包含已计算拉格朗日量的SARAH模型文件，以及电弱对称性破缺（Electroweak Symmetry Breaking, EWSB）后场的相关信息，例如真空期望值（vacuum expectation value, VEV）与混合矩阵。该功能可支持对目标模型开展进一步的详细研究，使`minimal-lagrangians`成为快速现象学研究"minimal"暗物质模型的工具链首组件，此类研究仅需少量操作且无需用户提供多余输入。