标题： 更高阶$\varepsilon$极点和在类似MS方案中的对数从重整化群的代数结构中得出 显示英文标题

标题： Higher $\varepsilon$-poles and logarithms in the MS-like schemes from the algebraic structure of the renormalization group

摘要： 我们研究在一种维度正则化版本中MS-like正则化方案下的重整化常数结构，其中具有量纲的正则化参数$\Lambda$与正则化点$\mu$不同。 具体来说，我们将涉及更高$\varepsilon$极和$\ln\Lambda/\mu$更高次幂的系数与重整化群函数系数之间的一圈方程重写为一种简单统一的形式。 认为这种形式来源于重整化群的代数结构。 显示英文摘要

摘要： We investigate the structure of renormalization constants within the MS-like renormalization prescriptions for a version of dimensional regularization in which the dimensionful regularization parameter $\Lambda$ differs from the renormalization point $\mu$. Namely, we rewrite the all-loop equations relating coefficients at higher $\varepsilon$-poles and higher powers of $\ln\Lambda/\mu$ to the coefficients of the renormalization group functions in a simple unified form. It is argued that this form follows from the algebraic structure of the renormalization group.