FastEEC: Fast evaluation of N-point energy correlators
Energy correlators characterize the asymptotic energy flow in scattering events produced at colliders, from which the microscopic physics of the scattering can be deduced. This view of collisions is akin to analyzes of the Cosmic Microwave Background, and a range of promising phenomenological applic...
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Elsevier
2025-02-01
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| Series: | Physics Letters B |
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| Online Access: | http://www.sciencedirect.com/science/article/pii/S037026932500036X |
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| author | Ankita Budhraja Wouter J. Waalewijn |
| author_facet | Ankita Budhraja Wouter J. Waalewijn |
| author_sort | Ankita Budhraja |
| collection | DOAJ |
| description | Energy correlators characterize the asymptotic energy flow in scattering events produced at colliders, from which the microscopic physics of the scattering can be deduced. This view of collisions is akin to analyzes of the Cosmic Microwave Background, and a range of promising phenomenological applications of energy correlators have been identified, including the study of hadronization, the deadcone effect, measuring αs and the top quark mass. While N-point energy correlators are interesting to study for larger values of N, their evaluation is computationally intensive, scaling like MN/N!, where M is the number of particles. In this Letter, we develop a fast, approximate method for their evaluation exploiting that correlations at a given angular scale are insensitive to effects at other (widely-separated) scales. This implies that the energy correlator can be computed on (sub)jets, effectively reducing M. Furthermore, we utilize a dynamical (sub)jet radius that allows us to obtain reliable results without restricting the angular scales being probed. For concreteness, we focus on the projected energy correlator which projects onto the largest separation between the N directions. E.g. for N=7 we find a speed up of up to four orders of magnitude, depending on the desired accuracy. We also consider the possibility of raising the energy to a power higher than one in the energy correlator, which has been proposed to reduce soft sensitivity. These higher-power correlators are not collinear safe, but as a byproduct our approach suggests a natural method to regularize them, such that they can be described using perturbation theory. This Letter is accompanied by a public code that implements our method. |
| format | Article |
| id | doaj-art-7d0f184ec43643ba9d6346af90a291dc |
| institution | Kabale University |
| issn | 0370-2693 |
| language | English |
| publishDate | 2025-02-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Physics Letters B |
| spelling | doaj-art-7d0f184ec43643ba9d6346af90a291dc2025-02-10T04:33:58ZengElsevierPhysics Letters B0370-26932025-02-01861139276FastEEC: Fast evaluation of N-point energy correlatorsAnkita Budhraja0Wouter J. Waalewijn1Nikhef, Theory Group, Science Park 105, 1098 XG, Amsterdam, the Netherlands; Corresponding author.Nikhef, Theory Group, Science Park 105, 1098 XG, Amsterdam, the Netherlands; Institute of Physics and Delta Institute for Theoretical Physics, University of Amsterdam, Science Park 904, 1098 XH, Amsterdam, the NetherlandsEnergy correlators characterize the asymptotic energy flow in scattering events produced at colliders, from which the microscopic physics of the scattering can be deduced. This view of collisions is akin to analyzes of the Cosmic Microwave Background, and a range of promising phenomenological applications of energy correlators have been identified, including the study of hadronization, the deadcone effect, measuring αs and the top quark mass. While N-point energy correlators are interesting to study for larger values of N, their evaluation is computationally intensive, scaling like MN/N!, where M is the number of particles. In this Letter, we develop a fast, approximate method for their evaluation exploiting that correlations at a given angular scale are insensitive to effects at other (widely-separated) scales. This implies that the energy correlator can be computed on (sub)jets, effectively reducing M. Furthermore, we utilize a dynamical (sub)jet radius that allows us to obtain reliable results without restricting the angular scales being probed. For concreteness, we focus on the projected energy correlator which projects onto the largest separation between the N directions. E.g. for N=7 we find a speed up of up to four orders of magnitude, depending on the desired accuracy. We also consider the possibility of raising the energy to a power higher than one in the energy correlator, which has been proposed to reduce soft sensitivity. These higher-power correlators are not collinear safe, but as a byproduct our approach suggests a natural method to regularize them, such that they can be described using perturbation theory. This Letter is accompanied by a public code that implements our method.http://www.sciencedirect.com/science/article/pii/S037026932500036XEnergy correlatorsJet substructureQuantum chromodynamics |
| spellingShingle | Ankita Budhraja Wouter J. Waalewijn FastEEC: Fast evaluation of N-point energy correlators Physics Letters B Energy correlators Jet substructure Quantum chromodynamics |
| title | FastEEC: Fast evaluation of N-point energy correlators |
| title_full | FastEEC: Fast evaluation of N-point energy correlators |
| title_fullStr | FastEEC: Fast evaluation of N-point energy correlators |
| title_full_unstemmed | FastEEC: Fast evaluation of N-point energy correlators |
| title_short | FastEEC: Fast evaluation of N-point energy correlators |
| title_sort | fasteec fast evaluation of n point energy correlators |
| topic | Energy correlators Jet substructure Quantum chromodynamics |
| url | http://www.sciencedirect.com/science/article/pii/S037026932500036X |
| work_keys_str_mv | AT ankitabudhraja fasteecfastevaluationofnpointenergycorrelators AT wouterjwaalewijn fasteecfastevaluationofnpointenergycorrelators |