Abstract
We present predictions of the distribution of groomed heavy jet mass in electron-positron collisions at the next-to-next-to-leading order accuracy matched with the resummation of large logarithms to next-to-next-to-next-to-leading logarithmic accuracy. Resummation at this accuracy is possible through extraction of necessary two-loop constants and three-loop anomalous dimensions from fixed-order codes.
Highlights
For precision extraction of the strong coupling the logarithmic accuracy should extend to next-to-next-to-next-to-leading logarithmic order (N3LL) that allows for simple additive matching to fixed-order at N2LO
In this Letter, we present theoretical predictions for the modified mass-drop tagger groomer (mMDT) groomed jet mass in e+e− collisions at N2LO matched with N3LL accuracy in perturbation theory
In Ref. [29] we computed the last missing pieces needed for N3LL resummation of the distribution of jet masses with mMDT, namely the two-loop constants cmScMDT of the collinear-soft function and the three-loop anomalous dimension of the global soft function γSmMDT, cmScMDT =
Summary
For precision extraction of the strong coupling the logarithmic accuracy should extend to next-to-next-to-next-to-leading logarithmic order (N3LL) that allows for simple additive matching to fixed-order at N2LO. In this Letter, we present theoretical predictions for the mMDT groomed jet mass in e+e− collisions at N2LO matched with N3LL accuracy in perturbation theory. [26] a factorization theorem was derived for the cross section differential in the groomed hemisphere masses τi
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