论文标题
从壳中SMEFT的重新归一化组进化
Renormalization Group Evolution from On-shell SMEFT
论文作者
论文摘要
我们描述了一个循环中高维操作员威尔逊系数的重新归一化组（RG）演变的内壳方法，这是标准模型有效磁场理论（SMEFT）的壳构造中的必要部分，并且基于手头的幅度基础，基于振幅基础。紫外线差异是通过首先通过单位切割来计算标量气泡积分的系数，然后在无质量气泡中减去IR差异的系数，从我们获得的标准模型场获得的界线因子可以轻松地读取IR差异。以教学方式呈现了第六维的异常维度的示例。我们还为$ v^+v^-h^2 $操作员的运行中的dimension-8 $ h^4d^4 $运算符的贡献结果以及$ h^4d^{2n+4} $的运行以及$ b^+b^+b^-h^2d^{2n} $的运行。
We describe the on-shell method to deriving the Renormalization Group (RG) evolution of Wilson coefficients of high dimensional operators at one loop, which is a necessary part in the on-shell construction of the Standard Model Effective Field Theory (SMEFT), and exceptionally efficient based on the amplitude basis in hand. The UV divergence is obtained by firstly calculating the coefficients of scalar bubble integrals by unitary cuts, then subtracting the IR divergence in the massless bubbles, which can be easily read from the collinear factors we obtained for the Standard Model fields. Examples of deriving the anomalous dimensions at dimension six are presented in a pedagogical manner. We also give the results of contributions from the dimension-8 $H^4D^4$ operators to the running of $V^+V^-H^2$ operators, as well as the running of $B^+B^-H^2D^{2n}$ from $H^4D^{2n+4}$ for general $n$.
