Abstract
Energy correlators measured inside high-energy jets at hadron colliders have recently been demonstrated to provide a new window into both perturbative and non-perturbative Quantum Chromodynamics. A number of the most interesting features of these correlators, namely their universal scaling behavior and the ability to image the confinement transition, require precise angular resolution, necessitating the use of tracking information in experimental measurements. Theoretically, tracking information can be incorporated into the energy correlators using track functions, which are non-perturbative functions describing the fragmentation of quarks and gluons into charged hadrons. In this paper, we apply our recently developed track function formalism to energy correlators, and study in detail the interplay of track functions with perturbative resummation and non-perturbative power corrections. We provide resummed results for the energy correlators at collinear next-to-leading-logarithmic accuracy and compare with parton shower Monte Carlo simulations. For the two-point correlator the use of tracking has a minimal effect throughout the entire distribution, but it has a significant effect for higher point correlators. Our results are crucial for the theoretical interpretation of recent experimental measurements of the energy-energy correlators.
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Acknowledgments
We thank Hao Chen for many useful discussions and collaboration on related topics. We thank Jingjing Pan for useful discussions and help with experimental references. We thank Kyle Lee for helpful discussions. Y.L. and H.X.Z. are supported by the National Natural Science Foundation of China under contract No. 11975200. M.J. is supported by NWO projectruimte 680-91-122. I.M. is supported by start up funds from Yale University. 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). Y.L. would also like to thank Nikhef and UvA for their hospitality while much of this work was performed.
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Jaarsma, M., Li, Y., Moult, I. et al. Energy correlators on tracks: resummation and non-perturbative effects. J. High Energ. Phys. 2023, 87 (2023). https://doi.org/10.1007/JHEP12(2023)087
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DOI: https://doi.org/10.1007/JHEP12(2023)087