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Collinear limit of the energy-energy correlator in $e^+ e^-$ collisions: transition from perturbative to non-perturbative regimes
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abstract
We study the collinear limit of the energy-energy correlator (EEC) in $e^+e^-$ collisions, focusing on the transition from the perturbative QCD regime at relatively large angles to the non-perturbative region at small angles. To describe this transition, we introduce a non-perturbative jet function and perform a global analysis at NNLO+NNLL accuracy using experimental data spanning center-of-mass energies from $Q = 29.0$ to $91.2$ GeV. This marks the first accurate description of the EEC across the entire near-side region ($0^\circ<\chi<90^\circ$) within a unified theoretical framework. Our analysis also provides, for the first time, a quantitative extraction of the non-perturbative contribution to the EEC quark jet function, identifying a characteristic transition scale around $2.3$ GeV - distinct from the scale observed in EEC-in-jet measurements in $pp$ collisions at the LHC, which are dominated by gluon jets. These results offer the first evidence for flavor dependence (quark vs. gluon) in the EEC and provide new insights into the interplay between perturbative and non-perturbative QCD dynamics.
Forward citations
Cited by 8 Pith papers
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Photon-Tagged Energy Flow in Inclusive Endpoint $B$ Decays
A new photon-tagged angular energy correlator in inclusive B→X_sγ factorizes at leading power into the standard shape function and a newly computed measured jet function, enabling angular tests of endpoint factorization.
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Putting Jet Substructure on Track(s)
First complete NLL calculations of projected energy correlators (up to 4-point) on tracks via factorization theorems and RG evolution, extending prior full-jet results.
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Simplified approach to extracting nucleon transversity in collinear factorization using near-side energy-energy correlators
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Simplified approach to extracting nucleon transversity in collinear factorization using near-side energy-energy correlators
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Benchmarking the Nearside Energy-Energy Correlators with Mellin Transform
A Mellin-transform framework with one fitted transition scale Λ describes nearside EECs in e+e− annihilation at NNLO+NNLL accuracy across ALEPH and earlier data.
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Operator structure of power corrections and anomalous scaling in energy correlators
Linear power corrections in energy correlators have a universal anomalous scaling because the dijet operator must be combined with a triple-jet component at one-loop order.
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Heavy-flavor energy-energy correlators isolate the gluon to heavy quark-antiquark splitting and are predicted to be sensitive to medium modifications and anisotropic quark-gluon plasma structure.
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Novel analysis for the energy-energy correlation in electron-positron annihilation in the perturbative domain
PMC application to EEC yields a dynamically varying renormalization scale and improved agreement with experimental data in the perturbative domain.
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