标题： LEFT在两环下的重整化群方程：维度六算符 显示英文标题

标题： Renormalization-group equations of the LEFT at two loops: dimension-six operators

摘要： 我们给出了系统计算电弱尺度以下低能有效场论的双圈异常维度的第三部分（左图）：插入重子数守恒的六维算符。 与我们之前的研究一致，我们获得了$\gamma_5$代数一致的't Hooft-Veltman格式的结果，并通过有限重正化校正了衰减效应和手性对称性破缺效应。 我们计算了六维四费米子和三胶子算符的重正化，以及在存在质量的情况下对低维算符的功率校正，即向下混合到五维偶极子算符、质量、规范耦合和θ项。 我们的结果对于超越标准模型的低能精确物理探索具有广泛的意义。 显示英文摘要

摘要： We present the third part of a systematic calculation of the two-loop anomalous dimensions for the low-energy effective field theory below the electroweak scale (LEFT): insertions of dimension-six operators that conserve baryon number. In line with our previous publications, we obtain the results in the algebraically consistent 't Hooft-Veltman scheme for $\gamma_5$, corrected for evanescent as well as chiral-symmetry-breaking effects through finite renormalizations. We compute the renormalization of the dimension-six four-fermion and three-gluon operators, as well as the power corrections to lower-dimension operators in the presence of masses, i.e., the down-mixing into dimension-five dipole operators, masses, gauge couplings, and theta terms. Our results are of interest for a broad range of low-energy precision searches for physics beyond the Standard Model.