Resummed jet mass distribution with trimming in Z+jet events at the LHC

TL;DR

This paper presents a detailed calculation of the jet mass distribution with trimming in Z+jet events at the LHC, incorporating advanced resummation techniques and comparisons with Monte Carlo simulations.

Contribution

It provides the first next-to-leading logarithmic resummation of the jet mass with trimming, including non-global and clustering logarithms, validated against fixed-order and Monte Carlo results.

Findings

Resummed jet mass distribution matches fixed-order and Monte Carlo results.

Non-global logarithms are estimated in the large-Nc limit.

Comparison shows good agreement with Pythia, Herwig++, and Sherpa simulations.

Abstract

In this paper, we calculate the resummed jet mass distribution up to next-to-leading logarithmic accuracy for jets defined with the trimming groomer in Z+jet events at the LHC. We compute at fixed order and to all orders the large logarithms, both in the jet mass and $z_{\mathrm{cut}}$ trimming variable, including non-global and clustering logarithms. We conduct phenomenological studies at $\mathcal{O}(\alpha_s)$, validating our results by comparing them with the fixed-order Monte Carlo program MCFM, which provides NLO predictions for hadron colliders. The resummation of non-global logarithms is estimated in the large-$\mathrm{N_c}$ limit. Our resummed result is compared to Monte Carlo parton shower simulations from Pythia 8, Herwig ++ and Sherpa 2 event generators.