This work was facilitated in part by the Portland Institute for Computational Science and its resources acquired using NSF Grant DMS 1624776
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 mMDT groomed jet mass in e+e− collisions: the low-scale collinear-soft constants at two-loop accuracy, c(2)Sc, and the three-loop non-cusp anomalous dimension of the global soft function, γ(2)S. We present a method for extracting those constants using fixed-order codes: the EVENT2 program to obtain the color coefficients of c(2)Sc, and MCCSM for extracting γ(2)S. We present all necessary formulae for resummation of the mMDT groomed heavy jet mass distribution at NNNLL accuracy.
Kardos, Adam; Larkoski, Andrew J.; and Trócsányi, Zoltán, "Two- and Three-Loop Data for Groomed Jet Mass" (2020). Portland Institute for Computational Science Publications. 17.