Two- and Three-Loop Data for Groomed Jet Mass

Authors

Adam Kardos, University of Debrecen
Andrew J. Larkoski, Reed College
Zoltán Trócsányi, Eötvös Loránd University

Sponsor

This work was facilitated in part by the Portland Institute for Computational Science and its resources acquired using NSF Grant DMS 1624776

Document Type

Pre-Print

Publication Date

2-2020

Subjects

Electron-positron interactions, Positron annihilation, Jets (Nuclear physics), Hadron colliders

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 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.

Description

This is the pre-print version of a work. Paper is available in arXiv and can be found online: https://arxiv.org/abs/2002.05730

Persistent Identifier

https://archives.pdx.edu/ds/psu/31170

Citation Details

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.
https://archives.pdx.edu/ds/psu/31170