标题： 三喷注率在\(e^{+}e^{-}\)湮灭中 显示英文标题

标题： The Three-Jet Rate in \(e^{+}e^{-}\) Annihilation

摘要： 在\(R_{3}\)的计算上取得了进展，即\(e^{+}e^{-}\)粒子湮灭中的三喷注率，在\(k_\bot \)（杜伦）方案中。 使用相干分支形式\cite{b,c,d}，计算了\(R_{3}\)的显式表达式。 在此过程中，所有阶数的QCD微扰理论中的主要和次主要大对数（LL和NLL）都被重新求和。 除了指数外，还涉及误差函数。 显示英文摘要

摘要： Progress has been made on the calculation of \(R_{3}\), the three-jet rate in \(e^{+}e^{-}\) annihilation, in the \(k_\bot \) (Durham) scheme. Using the coherent branching formalism \cite{b,c,d}, an explicit expression for \(R_{3}\) is calculated. In this, leading and next-to-leading large logarithms (LL and NLL) are resummed to all orders in QCD perturbation theory. In addition to exponentials an error function is involved.