1. New Angles on Energy Correlators
- Author
-
Alipour-fard, Samuel, Budhraja, Ankita, Thaler, Jesse, and Waalewijn, Wouter J.
- Subjects
High Energy Physics - Phenomenology ,High Energy Physics - Experiment ,Nuclear Experiment ,Nuclear Theory - Abstract
Energy correlators have recently come to the forefront of jet substructure studies at colliders due to their remarkable properties: they naturally separate physics at different scales, are robust to contamination from soft radiation, and offer a direct connection with quantum field theory. The current parametrization used for energy correlators, however, is based on redundant pairwise angles with complex phase space restrictions. In this Letter, we introduce a new parametrization of energy correlators that features a simpler phase space structure and preserves information about the orientation of jet constituents. Further, our parametrization drastically reduces the computational cost to compute energy correlators on experimental data; whereas the time to compute a traditional projected N-point energy correlator scales as M^N/N! on a jet with M particles, our new parametrization achieves a scaling of M^2 log(M) independently of N. Theoretical calculations for our new energy correlators differ from those of traditional parametrizations only at next-to-next-to-leading logarithmic accuracy and beyond, and we expect that our simpler phase space structure will simplify those calculations. We also discuss how to extend our parametrization to resolved N-point energy correlators that encode angular distances between greater numbers of particles, and we propose two possible generalizations for probing multi-prong jets and testing jet scaling behaviour., Comment: 5 pages, 4 figures + supplemental material with 10 figures. Associated code for our PENCs available at https://github.com/abudhraj/FastEEC/releases/tag/0.3 and for our PENCs and RENCs at https://github.com/samcaf/ResolvedEnergyCorrelators . A video of RENCs imaging jets from CMS Open Data is available at https://samcaf.github.io/assets/RENC_Intro.mp4
- Published
- 2024