Gluon- and Quark-Jet Multiplicities with NNNLO and NNLL Accuracy

TL;DR

This paper introduces a novel method that combines perturbative and non-perturbative effects to accurately predict gluon and quark jet multiplicities, achieving NNNLO and NNLL precision and resolving previous discrepancies with experimental data.

Contribution

The paper presents the first inclusion of new contributions to jet multiplicities with NNNLO and NNLL accuracy, using an analytic approach with two physically interpretable non-perturbative parameters.

Findings

Achieved improved agreement with experimental data.

Resolved longstanding theoretical discrepancies.

Provided analytic formulas with clear physical interpretation.

Abstract

We present a new approach to consider and include both the perturbative and the non-perturbative contributions to the multiplicities of gluon and quark jets. Thanks to this new method, we have included for the first time new contributions to these quantities obtaining next-to-next-to-leading-logarithmic resummed formulas. Our analytic expressions depend on two non-perturbative parameters with a clear and simple physical interpretation. A global fit of these two quantities shows how our results solve a longstanding discrepancy in the theoretical description of the data.