Probing Quarkonium Production Mechanisms with Jet Substructure

Abstract

We use fragmenting jet functions (FJFs) in the context of quarkonia to study the production channels predicted by NRQCD (3S_1^(1), 3S_1^(8), 1S_0^(8), 3P_J^(8)). We choose a set of FJFs that give the probability to find a quarkonium with a given momentum fraction inside a cone-algorithm jet with fixed cone size and energy. This observable gives several lever arms that allow one to distinguish different production channels. In particular, we show that at fixed momentum fraction the individual production mechanisms have distinct behaviors as a function of the the jet energy. As a consequence of this fact, we arrive at the robust prediction that if the depolarizing 1S_0^(8) matrix element dominates, then the gluon FJF will diminish with increasing energy for fixed momentum fraction, z, and z > 0.5.

13 pages, 6 figures; v2: Typos fixed, figures updated and new figure added to reflect nontrivial error correlation in long-distance matrix element determination which leads to stronger prediction for our observables; v3: Operational discussion of fragmenting jet function expanded and figure typo fixed