A Formalism for Extracting Track Functions from Jet Measurements

TL;DR

This paper introduces a new method to extract universal non-perturbative track functions from jet measurements at colliders, enhancing the precision of jet substructure analysis.

Contribution

It proposes semi-inclusive track jet functions that can be matched to universal track functions, enabling their extraction from collider data.

Findings

Successful matching of track jet functions to universal track functions.

Phenomenological results for charged energy fraction at LHC and EIC/HERA.

Identification of non-linear RG flows in moments of energy fraction.

Abstract

The continued success of the jet substructure program will require widespread use of tracking information to enable increasingly precise measurements of a broader class of observables. The recent reformulation of jet substructure in terms of energy correlators has simplified the incorporation of universal non-perturbative matrix elements, so called "track functions", in jet substructure calculations. These advances make it timely to understand how these universal non-perturbative functions can be extracted from hadron collider data, which is complicated by the use jet algorithms. In this paper we introduce a new class of jet functions, which we call (semi-inclusive) track jet functions, which describe measurements of the track energy fraction in identified jets. These track jet functions can be matched onto the universal track functions, with perturbatively calculable matching coefficients that incorporate the jet algorithm dependence. We perform this matching, and present phenomenological results for the charged energy fraction in jets at the LHC and EIC/HERA at collinear next-to-leading logarithmic accuracy. We show that higher moments of the charged energy fraction directly exhibit non-linear Lorentzian renormalization group flows, allowing the study of these flows with collider data. Our factorization theorem enables the extraction of universal track functions from jet measurements, opening the door to their use for a precision jet substructure program.