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Renormalons in the energy-energy correlator
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Renormalons in the energy-energy correlator
abstract
The energy-energy correlator (EEC) is an observable of wide interest for collider physics and Standard Model measurements, due to both its simple theoretical description in terms of the energy-momentum tensor and its novel features for experimental studies. Significant progress has been made in both applications and higher-order perturbative predictions for the EEC. Here, we analyze the nature of the asymptotic perturbative series for the EEC by determining its analytic form in Borel space under the bubble-sum approximation. This result provides information on the leading and subleading nonperturbative power corrections through renormalon poles. We improve the perturbative convergence of the $\overline{\mathrm{MS}}$ series for the EEC by removing its leading renormalon using an R scheme, which is independent of the bubble-sum approximation. Using the leading R-scheme power correction determined by fits to thrust, we find good agreement with EEC OPAL data already at ${\mathcal O}(\alpha_s^2)$.
Forward citations
Cited by 7 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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Projected Energy Correlators: Two-Loop Jet Functions and NNLL Resummation
Computes two-loop jet functions for N=4,5,6 projected energy correlators enabling NNLL collinear resummation matched to NLO in e+e- and Higgs-to-gluons processes, with non-perturbative corrections from two universal s...
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High precision heavy-boson-jet substructure with energy correlators
The EEC peak in boosted Z jets is the Sudakov back-to-back region of the Z-pole EEC seen through a Lorentz boost, determined by one Lorentz-invariant shape function and computable at N3LL'.
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Energy Correlators of Spinning Sources
Spinning energy correlators classify the full Euler-angle dependence of N-point energy flux, obey generalized Hofman–Maldacena positivity bounds, and their ratios to inclusive correlators in QCD are largely insensitiv...
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Jet-by-jet energy correlators as stochastic probes of the parton-to-hadron transition
Per-jet fluctuations of binned energy-energy correlators show a smaller covariance trace and larger neighboring-shell correlations at hadron level than at parton level in Pythia and Herwig across all tested configurations.
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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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