Abstract
The continued success of the jet substructure program will require widespread use of tracking information to enable increasingly precise measurements of a broader class of observables. The recent reformulation of jet substructure in terms of energy correlators has simplified the incorporation of universal non-perturbative matrix elements, so called “track functions”, in jet substructure calculations. These advances make it timely to understand how these universal non-perturbative functions can be extracted from hadron collider data, which is complicated by the use jet algorithms. In this paper we introduce a new class of jet functions, which we call (semi-inclusive) track jet functions, which describe measurements of the track energy fraction in identified jets. These track jet functions can be matched onto the universal track functions, with perturbatively calculable matching coefficients that incorporate the jet algorithm dependence. We perform this matching, and present phenomenological results for the charged energy fraction in jets at the LHC and EIC/HERA at collinear next-to-leading logarithmic accuracy. We show that higher moments of the charged energy fraction directly exhibit non-linear Lorentzian renormalization group flows, allowing the study of these flows with collider data. Our factorization theorem enables the extraction of universal track functions from jet measurements, opening the door to their use for a precision jet substructure program.
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Acknowledgments
We thank Matt LeBlanc, Ben Nachman, Jennifer Roloff, and in particular Jingjing Pan, for extensive discussions on the extraction of track functions at the LHC, which motivated this work, as well as for guidance with the experimental literature. We thank Jeppe Andersen, Wenqing Fan, Duff Neill, and Xiaoyuan Zhang for useful discussions. K.L. was supported by the U.S. DOE under contract number DE-SC0011090. I.M. is supported by start-up funds from Yale University. F.R. is supported by the DOE with contract No. DE-AC05-06OR23177, under which Jefferson Science Associates, LLC operates Jefferson Lab, and in part by the DOE, Office of Nuclear Physics, Early Career Program with contract No DE-SC0024358. W.W. is supported by the D-ITP consortium, a program of NWO that is funded by the Dutch Ministry of Education, Culture and Science (OCW).
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Lee, K., Moult, I., Ringer, F. et al. A formalism for extracting track functions from jet measurements. J. High Energ. Phys. 2024, 194 (2024). https://doi.org/10.1007/JHEP01(2024)194
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DOI: https://doi.org/10.1007/JHEP01(2024)194