Non-Global Logarithms in Filtered Jet Algorithms

TL;DR

This paper investigates the impact of non-global logarithms on filtered jet algorithms used in Higgs boson searches at the LHC, providing analytical and numerical insights to optimize analysis parameters.

Contribution

It offers a detailed analysis of non-global logarithms in filtered jet algorithms, including all-orders numerical results and optimization strategies for Higgs mass reconstruction.

Findings

Analytical and numerical characterization of non-global logarithms.

Optimization of filtering parameters to improve Higgs signal extraction.

Insights into the structure of perturbative series in jet analysis.

Abstract

We analytically and numerically study the effect of perturbative gluons emission on the "Filtering analysis", which is part of a subjet analysis procedure proposed two years ago to possibly identify a low-mass Higgs boson decaying into b\bar{b} at the LHC. This leads us to examine the non-global structure of the resulting perturbative series in the leading single-log large-N_c approximation, including all-orders numerical results, simple analytical approximations to them and comments on the structure of their series expansion. We then use these results to semi-analytically optimize the parameters of the Filtering analysis so as to suppress as much as possible the effect of underlying event and pile-up on the Higgs mass peak reconstruction while keeping the major part of the perturbative radiation from the b\bar{b} dipole.