We discuss the status of resummation of large logarithmic contributions to groomed event shapes of hadronic final states in electron-positron annihilation. We identify the missing ingredients needed for next-to-next-to-next-to-leading logarithmic (NNNLL) resummation of the modified mass mass drop tagger (mMDT) groomed jet mass in e + e ? collisions: the low-scale collinear-soft constants at two-loop accuracy, c S c ( 2 ) , and the three-loop noncusp anomalous dimension of the global soft function, γ S ( 2 ) . We present a method for extracting those constants using fixed-order codes: the event2 program to obtain the color coefficients of c S c ( 2 ) , and mccsm for extracting γ S ( 2 ) . We present all necessary formulae for resummation of the mMDT groomed heavy jet mass distribution at NNNLL accuracy.
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机译：我们讨论了在电子正电子湮灭中对大小决赛状态的大型对数贡献的重新发生贡献的状态。 我们确定E + E中改进的大众质量滴标签（MMDT）整形喷射物质的下一次上一端对数（NNN1）的缺失成分。 碰撞：两个环精度，C S C（2）和全球软功能的三环非循环异常尺寸，γS（2）的低尺寸相机软常数。 我们介绍了一种使用固定阶代码提取这些常量的方法：EVENT2程序获得C S C（2）的颜色系数和用于提取γS（2）的MCCSM。 我们提出了所有必要的公式，以便在NNNLL精度下重新研磨MMDT整理重型射流质量分布。
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