Quantum Scaling in Energy Correlators Beyond the Confinement Transition
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arXiv
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| Main Authors: | , , , , , |
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| Format: | Preprint |
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2025
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| _version_ | 1866918101077983232 |
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| author | Chang, Cyuan-Han Chen, Hao Liu, Xiaohui Simmons-Duffin, David Yuan, Feng Zhu, Hua Xing |
| author_facet | Chang, Cyuan-Han Chen, Hao Liu, Xiaohui Simmons-Duffin, David Yuan, Feng Zhu, Hua Xing |
| contents | We study the QCD scaling behavior of the small-angle Energy-Energy Correlator (EEC), focusing on the transition between its perturbative pre-confinement and non-perturbative post-confinement regimes. Applying the light-ray Operator Product Expansion (OPE), we develop a formalism that describes the scaling of the EEC with the input energy $Q$ in the transition and the post-confinement region, where the latter quantum scaling is determined by the $J=5$ DGLAP anomalous dimension. A key result of our work is a novel connection between the light-ray OPE and the dihadron fragmentation function (DFF), where we show that the non-perturbative OPE coefficients correspond to moments of the DFF. This finding establishes a new paradigm for studying hadronization. Our theoretical predictions are validated against Monte Carlo simulations for both $e^+e^-$ and $pp$ collisions, showing excellent agreement. The potential role of the quantum scaling in the precision determination of $α_s$ is also discussed. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2507_15923 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Quantum Scaling in Energy Correlators Beyond the Confinement Transition Chang, Cyuan-Han Chen, Hao Liu, Xiaohui Simmons-Duffin, David Yuan, Feng Zhu, Hua Xing High Energy Physics - Phenomenology High Energy Physics - Experiment High Energy Physics - Theory Nuclear Experiment Nuclear Theory We study the QCD scaling behavior of the small-angle Energy-Energy Correlator (EEC), focusing on the transition between its perturbative pre-confinement and non-perturbative post-confinement regimes. Applying the light-ray Operator Product Expansion (OPE), we develop a formalism that describes the scaling of the EEC with the input energy $Q$ in the transition and the post-confinement region, where the latter quantum scaling is determined by the $J=5$ DGLAP anomalous dimension. A key result of our work is a novel connection between the light-ray OPE and the dihadron fragmentation function (DFF), where we show that the non-perturbative OPE coefficients correspond to moments of the DFF. This finding establishes a new paradigm for studying hadronization. Our theoretical predictions are validated against Monte Carlo simulations for both $e^+e^-$ and $pp$ collisions, showing excellent agreement. The potential role of the quantum scaling in the precision determination of $α_s$ is also discussed. |
| title | Quantum Scaling in Energy Correlators Beyond the Confinement Transition |
| topic | High Energy Physics - Phenomenology High Energy Physics - Experiment High Energy Physics - Theory Nuclear Experiment Nuclear Theory |
| url | https://arxiv.org/abs/2507.15923 |