ν-point energy correletors with FastEEC: Small-x physics from LHC jets
In recent years, energy correlators have emerged as a powerful tool for studying jet substructure, with promising applications such as probing the hadronization transition, analyzing the quark-gluon plasma, and improving the precision of top quark mass measurements. The projected N-point correlator...
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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/S0370269324007974 |
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| author | Ankita Budhraja Hao Chen Wouter J. Waalewijn |
| author_facet | Ankita Budhraja Hao Chen Wouter J. Waalewijn |
| author_sort | Ankita Budhraja |
| collection | DOAJ |
| description | In recent years, energy correlators have emerged as a powerful tool for studying jet substructure, with promising applications such as probing the hadronization transition, analyzing the quark-gluon plasma, and improving the precision of top quark mass measurements. The projected N-point correlator measures correlations between N final-state particles by tracking the largest separation between them, showing a scaling behavior related to DGLAP splitting functions. These correlators can be analytically continued in N, commonly referred to as ν-correlators, allowing access to non-integer moments of the splitting functions. Of particular interest is the ν→0 limit, where the small momentum fraction behavior of the splitting functions requires resummation. Originally, the computational complexity of evaluating ν-correlators for M particles scaled as 22M, making it impractical for real-world analyses. However, by using recursion, we reduce this to M2M, and through the FastEEC method of dynamically resolving subjets, M is replaced by the number of subjets. This breakthrough enables, for the first time, the computation of ν-correlators for LHC data. In practice, limiting the number of subjets to 16 is sufficient to achieve percent-level precision, which we validate using known integer-ν results and convergence tests for non-integer ν. We have implemented this in an update to FastEEC and conducted an initial study of power-law scaling in the perturbative regime as a function of ν, using CMS Open Data on jets. The results agree with DGLAP evolution, except at small ν, where the anomalous dimension saturates to a value that matches the BFKL anomalous dimension. |
| format | Article |
| id | doaj-art-9d097bdc24bb4b4aaa3ba5a7c65b5e20 |
| institution | Kabale University |
| issn | 0370-2693 |
| language | English |
| publishDate | 2025-02-01 |
| publisher | Elsevier |
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| spelling | doaj-art-9d097bdc24bb4b4aaa3ba5a7c65b5e202025-02-10T04:33:51ZengElsevierPhysics Letters B0370-26932025-02-01861139239ν-point energy correletors with FastEEC: Small-x physics from LHC jetsAnkita Budhraja0Hao Chen1Wouter J. Waalewijn2Nikhef, Theory Group, Science Park 105, 1098 XG, Amsterdam, the Netherlands; Corresponding author.Center for Theoretical Physics, Massachusetts Institute of Technology, 77 Massachusetts Avenue, Cambridge, MA 02139, USANikhef, 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 NetherlandsIn recent years, energy correlators have emerged as a powerful tool for studying jet substructure, with promising applications such as probing the hadronization transition, analyzing the quark-gluon plasma, and improving the precision of top quark mass measurements. The projected N-point correlator measures correlations between N final-state particles by tracking the largest separation between them, showing a scaling behavior related to DGLAP splitting functions. These correlators can be analytically continued in N, commonly referred to as ν-correlators, allowing access to non-integer moments of the splitting functions. Of particular interest is the ν→0 limit, where the small momentum fraction behavior of the splitting functions requires resummation. Originally, the computational complexity of evaluating ν-correlators for M particles scaled as 22M, making it impractical for real-world analyses. However, by using recursion, we reduce this to M2M, and through the FastEEC method of dynamically resolving subjets, M is replaced by the number of subjets. This breakthrough enables, for the first time, the computation of ν-correlators for LHC data. In practice, limiting the number of subjets to 16 is sufficient to achieve percent-level precision, which we validate using known integer-ν results and convergence tests for non-integer ν. We have implemented this in an update to FastEEC and conducted an initial study of power-law scaling in the perturbative regime as a function of ν, using CMS Open Data on jets. The results agree with DGLAP evolution, except at small ν, where the anomalous dimension saturates to a value that matches the BFKL anomalous dimension.http://www.sciencedirect.com/science/article/pii/S0370269324007974Energy correlatorsJet substructureQuantum chromodynamicsSmall-x physics |
| spellingShingle | Ankita Budhraja Hao Chen Wouter J. Waalewijn ν-point energy correletors with FastEEC: Small-x physics from LHC jets Physics Letters B Energy correlators Jet substructure Quantum chromodynamics Small-x physics |
| title | ν-point energy correletors with FastEEC: Small-x physics from LHC jets |
| title_full | ν-point energy correletors with FastEEC: Small-x physics from LHC jets |
| title_fullStr | ν-point energy correletors with FastEEC: Small-x physics from LHC jets |
| title_full_unstemmed | ν-point energy correletors with FastEEC: Small-x physics from LHC jets |
| title_short | ν-point energy correletors with FastEEC: Small-x physics from LHC jets |
| title_sort | ν point energy correletors with fasteec small x physics from lhc jets |
| topic | Energy correlators Jet substructure Quantum chromodynamics Small-x physics |
| url | http://www.sciencedirect.com/science/article/pii/S0370269324007974 |
| work_keys_str_mv | AT ankitabudhraja npointenergycorreletorswithfasteecsmallxphysicsfromlhcjets AT haochen npointenergycorreletorswithfasteecsmallxphysicsfromlhcjets AT wouterjwaalewijn npointenergycorreletorswithfasteecsmallxphysicsfromlhcjets |