On Statistical Aspects of Qjets

TL;DR

This paper investigates the statistical properties of the Qjets method, which considers multiple jet reconstructions to address ambiguity, demonstrating how it enhances the stability and reach of jet-based measurements.

Contribution

It provides a detailed analysis of the statistical behavior of weighted jet interpretations in Qjets, showing improvements in measurement stability and analysis reach.

Findings

Qjets improves statistical stability of jet measurements

Weighted interpretations enhance analysis sensitivity

Method offers better handling of jet ambiguity

Abstract

The process by which jet algorithms construct jets and subjets is inherently ambiguous and equally well motivated algorithms often return very different answers. The Qjets procedure was introduced by the authors to account for this ambiguity by considering many reconstructions of a jet at once, allowing one to assign a weight to each interpretation of the jet. Employing these weighted interpretations leads to an improvement in the statistical stability of many measurements. Here we explore in detail the statistical properties of these sets of weighted measurements and demonstrate how they can be used to improve the reach of jet-based studies.