Abstract
The steeply falling jet spectrum induces a bias on the medium modifications of jet observables in heavy-ion collisions. To explore this effect, we develop a novel analytic framework to study the quenched jet spectrum and its cumulative. We include many energy-loss-related effects, such as soft and hard medium induced emissions, broadening, elastic scattering, jet fragmentation, cone size dependence, and coherence effects. We show that different observables, based on the jet spectrum, are connected, e.g., the nuclear modification, spectrum shift, and the quantile procedure. We present the first predictions for the nuclear modification factor and the quantile procedure with cone size dependence. As a concrete example, we compare dijet and boson+jet events to unfold the spectrum bias effects, and improve quark-, and gluon-jet classification using arguments based on the cumulative. Besides pointing out its flexibility, finally, we apply our framework to other energy loss models such as the hybrid weak/strong-coupling approach.
Highlights
We show that different observables, based on the jet spectrum, are connected, e.g., the nuclear modification, spectrum shift, and the quantile procedure
Here the dashed curves are the results obtained by using the singleparton quenching factors Q(>0), which amounts of treating the whole jet as a completely coherent single parton that is not resolved by medium interactions
We studied the origin of this bias and its presence in recently suggested observables, e.g., the quantile ratio and its comparison of single-inclusive jet spectra in dijet and boson+jet events in heavyion collisions
Summary
The main observable considered in this work is the single-inclusive spectrum of reconstructed jets in heavy-ion collisions. In the context of high-energy collisions, it is natural to assume a factorization of the partonic hard cross-section from the subsequent medium processes. This can be justified by invoking the large separation of momentum scales involved in jet production; typically the hard scattering Qhard ∼ 103 GeV, is much bigger than the jet scale Qjet ∼ pT R ∼ 102 GeV, where pT is the reconstructed transverse momentum of the jet and R is jet cone parameter. We consider the effect of jet fragmentation which leads to multiple vacuum-like emissions on short time-scales inside the jets Partons from these emissions contribute to the quenching of the full jet. In appendix D, we show how to formulate other energy loss models in terms of quenching weights
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