AI 中文总结
该研究推导了适用于任意规范群及EFT的四费米子算符完整双环流-流重整化结果，为一般EFT的完整双环重整化奠定了重要基础。
AI 中文摘要
本文报告了任意六维四费米子算符跑动所对应的完整单环及双环规范与标量流-流贡献。所得结果采用与基无关、与重整化方案无关的形式，适用于任意规范群。针对包含规范与标量相互作用的最一般可重整拉格朗日量，本文提供了完整的规范与标量贡献，包括真实的单环与双环极点、抵消项插入、波函数重整化、有限渐逝插入、图多重度以及相关的色、电荷与汤川因子。该结果可用于推导任意有效场论（EFT）的领头阶与次领头阶流-流反常维数矩阵，是迈向一般EFT完整双环重整化的重要一步。
英文摘要
The complete one- and two-loop gauge and scalar current--current contributions to the running of arbitrary dimension-six four-fermion operators are reported. The results are obtained in a basis-independent and renormalization-scheme-agnostic fashion and are valid for arbitrary gauge groups. The complete gauge and scalar contributions, including the genuine one- and two-loop poles, counterterm insertions, wave-function renormalization, finite evanescent insertions, diagram multiplicities, and the associated color, charge and Yukawa factors are provided for the most general renormalizable Lagrangian with gauge and scalar interactions. The results enable the derivation of leading- and next-to-leading-order current--current anomalous-dimension matrices for arbitrary Effective Field Theories (EFTs) and constitute a significant step toward the complete two-loop renormalization of general EFTs.
