Marquard Peter, Smirnov Alexander V, Smirnov Vladimir A, Steinhauser Matthias
Deutsches Elektronen Synchrotron DESY, Platanenallee 6, 15738 Zeuthen, Germany.
Scientific Research Computing Center, Moscow State University, 119991 Moscow, Russia.
Phys Rev Lett. 2015 Apr 10;114(14):142002. doi: 10.1103/PhysRevLett.114.142002. Epub 2015 Apr 7.
We present results for the relation between a heavy quark mass defined in the on-shell and minimal subtraction (MS[over ¯]) scheme to four-loop order. The method to compute the four-loop on-shell integral is briefly described and the new results are used to establish relations between various short-distance masses and the MS[over ¯] quark mass to next-to-next-to-next-to-leading order accuracy. These relations play an important role in the accurate determination of the MS[over ¯] heavy quark masses.
我们给出了在壳层定义的重夸克质量与最小减除（MS[上划线]）方案之间关系到四圈阶次的结果。简要描述了计算四圈在壳层积分的方法，并利用新结果建立了各种短程质量与MS[上划线]夸克质量之间到次下下领先阶精度的关系。这些关系在精确确定MS[上划线]重夸克质量中起着重要作用。
