Energy Correlators Beyond Angles

TL;DR

This paper introduces Energy Weighted Observable Correlations (EWOCs), a new class of energy correlators that measure non-angular correlations in jets, improving mass measurements and theoretical understanding in particle physics.

Contribution

The authors generalize energy correlators to EWOCs, enabling direct measurement of non-angular correlations and enhancing jet mass determination methods.

Findings

Mass EWOC outperforms angle-based correlators in W boson mass extraction.

Mass EWOC performs comparably to soft-drop groomed jet mass.

Theoretical calculations of mass EWOC on light-quark jets align with Pythia simulations.

Abstract

Energy correlators are theoretically simple and physically intuitive observables that bridge experimental and theoretical particle physics. They have for example enabled the most precise jet substructure determination of the strong coupling constant to date, and recent proposals suggest that they may be used to precisely determine of the top quark mass with calculable, small theoretical uncertainties. However, existing energy correlators all measure correlations in angles between particles, from which other observables such as mass must be inferred through potentially complicated procedures. In this work, we generalize energy correlators to enable straightforward measurements of non-angular correlations, which we call Energy Weighted Observable Correlations (EWOCs). To enforce collinear safety, EWOCs quantify correlations between subjets rather than particles. The subjet radius can be tuned to control both the physical scales probed by EWOCs and their sensitivity to non-perturbative physics. We focus on the phenomenologically relevant example of the mass EWOC, which measures mass correlations between pairs of subjets, in the task of extracting mass scales from jets. In jet substructure determinations of the mass of a hadronically-decaying W boson, we show that the mass EWOC outperforms the angle-based energy correlator, and performs comparably to the soft-drop groomed jet mass. As a first exploration of the theoretical properties of EWOCs, we also calculate the mass EWOC on light-quark jets and compare to results obtained with Pythia.