Radiative corrections to the \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$K_{e3}^{\pm}$\end{document} decay revised

We consider the lowest order radiative corrections for the decay \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$K^{\pm}\to \pi^0 e^{\pm} \nu$\end{document}, usually referred to as \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$K_{e3}^{\pm}$\end{document} decay. This decay is the best way to extract the value of the Vus element of the CKM matrix. The radiative corrections become crucial if one wants a precise value of Vus. The existing calculations were performed in the late 60’s and are in disagreement. The calculation by Ginsberg turns out to be ultraviolet cutoff sensitive. The necessity of precise knowledge of Vus and the contradiction between the existing results constitute the motivation of our paper.