Year: 2020
Type: article
Abstract: 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 ${e}^{+}{e}^{\ensuremath{-}}$ 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, ${\ensuremath{\gamma}}_{S}^{(2)}$. 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 ${\ensuremath{\gamma}}_{S}^{(2)}$. We present all necessary formulae for resummation of the mMDT groomed heavy jet mass distribution at NNNLL accuracy.
Institution: University of Debrecen
Language: English
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: hybrid
OpenAlex ID: W3006525529