标题： 非微扰重整化在QCD+QED中的应用及其对弱衰变的应用 显示英文标题

标题： Non-perturbative renormalization in QCD+QED and its application to weak decays

摘要： 我们提出了一种新的策略来对QCD+QED中的格点算符进行归一化，包括对QCD归一化常数的非微扰评估的一阶QED修正。 我们的方法系统地考虑了之前计算中被忽略的混合不可因子化的QCD+QED效应，从而显著降低了归一化修正的系统不确定性。 该方法在此以RI'-MOM方案呈现，但可以通过适当的修改应用于其他方案（例如RI-SMOM）。 我们讨论了该策略在计算轻子衰变率中主导的同位旋破缺修正$\Gamma(\pi_{\mu 2})$和$\Gamma(K_{\mu 2})$的应用，这些修正首次在格点上进行了计算。 与之前的计算相比，与$W$-正则化方案匹配的精度提高到了$\mathcal{O}(\alpha_{em}\alpha_s(M_W))$。 最后，我们展示了针对Cabibbo-Kobayashi-Maskawa矩阵元$|V_{us}|$所获得的更新后的精确结果。 显示英文摘要

摘要： We present a novel strategy to renormalize lattice operators in QCD+QED, including first order QED corrections to the non-perturbative evaluation of QCD renormalization constants. Our procedure takes systematically into account the mixed non-factorizable QCD+QED effects which were neglected in previous calculations, thus significantly reducing the systematic uncertainty on renormalization corrections. The procedure is presented here in the RI'-MOM scheme, but it can be applied to other schemes (e.g. RI-SMOM) with appropriate changes. We discuss the application of this strategy to the calculation of the leading isospin breaking corrections to the leptonic decay rates $\Gamma(\pi_{\mu 2})$ and $\Gamma(K_{\mu 2})$, evaluated for the first time on the lattice. The precision in the matching to the $W$-regularization scheme is improved to $\mathcal{O}(\alpha_{em}\alpha_s(M_W))$ with respect to previous calculations. Finally, we show the updated precise result obtained for the Cabibbo-Kobayashi-Maskawa matrix element $|V_{us}|$.