Hemisphere jet mass distribution at finite $N_c$

TL;DR

This paper performs a leading logarithmic resummation of nonglobal logarithms for the hemisphere jet mass distribution in electron-positron annihilation, including finite color number effects, and compares with previous large-$N_c$ and fixed-order results.

Contribution

It introduces a finite-$N_c$ correction to the resummation of nonglobal logarithms in jet mass distributions, extending previous large-$N_c$ approximations.

Findings

Finite-$N_c$ corrections significantly affect the jet mass distribution.

Comparison shows deviations from large-$N_c$ results at certain energy scales.

The approach improves the accuracy of theoretical predictions for jet observables.

Abstract

We perform the leading logarithmic resummation of nonglobal logarithms for the single-hemisphere jet mass distribution in $e^+e^-$ annihilation including the finite-$N_c$ corrections. The result is compared with the previous all-order result in the large-$N_c$ limit as well as fixed-order perturbative calculations.