We report a high-precision calculation of the Standard Model electroweak radiative corrections in the $K\to \pi e^{+}\nu (\gamma )$ decay as a part of the combined theory effort to understand the existing anomaly in the determinations of $V_{us}$. Our new analysis features a chiral resummation of the large infrared-singular terms in the radiative corrections and a well-under-control strong interaction uncertainty based on the most recent lattice QCD inputs. While being consistent with the current state-of-the-art results obtained from chiral perturbation theory, we reduce the existing theory uncertainty from ${10}^{-3}$ to ${10}^{-4}$. Our result suggests that the Standard Model electroweak effects cannot account for the $V_{us}$ anomaly.

我们报告了标准模型电弱辐射校正的高精度计算 $钾\to \pi {\mathrm{电子}}^{+}\nu (\gamma )$ 衰变作为综合理论努力的一部分，以了解确定中的现有异常 ${伏}_{你秒}$. 我们的新分析具有辐射校正中大红外奇异项的手征求和，以及基于最新晶格 QCD 输入的可控强相互作用不确定性。在与从手性微扰理论获得的当前最先进结果一致的同时，我们减少了现有的理论不确定性${10}^{-3}$ 到 ${10}^{-4}$. 我们的结果表明标准模型电弱效应不能解释${伏}_{你秒}$ 异常。