[Submitted on 25 Mar 2025] (cross-list from hep-ph)
Exploiting -dependence of projected energy correlators in HICs
Ankita Budhraja🇳🇱 · Balbeer Singh🇺🇸
We extend the recently derived factorization formula for energy-energy correlators to study the analytic structure of general -point projected energy correlators in heavy ion collisions. The -point projected energy correlators (or, -correlators) are an analytically continued family of the integer -point projected energy correlators, which probe correlations between final-state particles. By tracking the largest separation () between the particles, in vacuum, their structure is closely related to the DGLAP splitting functions and exhibits a classical scaling behavior which is modified by resummation through the anomalous dimensions. We show that, in a thermal medium, the -correlators display non-trivial angular scaling already at the leading order in perturbation theory. We find that for non-integer values, particularly , medium-induced jet function is enhanced compared to . This is particularly manifested in the ratios of -correlators with respect to the two-point energy correlator which encode an intrinsic angular information for when compared to large values. Moreover, for small- values, the -correlators appear to saturate at . We further confirm our leading-order numerical computations against simulated events from JEWEL for the parton level production cross-section. Finally, we qualitatively discuss the effect of BFKL resummation for various values of .
- Comments:
- matches published version
- Subjects:
- High Energy Physics — Phenomenology (hep-ph); Nuclear Experiment (nucl-ex); Nuclear Theory (nucl-th)
- arXiv:
- 2503.20019 [pdf]