The OPCC observable is IRC finite and factorizes into the Sivers distribution plus a perturbatively calculable charge-weighted jet function, eliminating dependence on non-perturbative fragmentation functions via charge conservation.
Simplicity from Recoil: The Three-Loop Soft Function and Factorization for the Energy-Energy Correlation
4 Pith papers cite this work. Polarity classification is still indexing.
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Pith papers citing it
abstract
We derive an operator based factorization theorem for the energy-energy correlation (EEC) observable in the back-to-back region, allowing the cross section to be written as a convolution of hard, jet and soft functions. We prove the equivalence of the soft functions for the EEC and color singlet transverse-momentum resummation to all-loop order, and give their analytic result to three-loops. Large logarithms appearing in the perturbative expansion of the EEC can be resummed to all orders using renormalization group evolution. We give analytic results for all required anomalous dimensions to three-loop order, providing the first example of a transverse-momentum (recoil) sensitive $e^+e^-$ event shape whose anomalous dimensions are known at this order. The EEC can now be computed to next-to-next-to-next-to-leading logarithm matched to next-to-next-to-leading order, making it a prime candidate for precision QCD studies and extractions of the strong coupling constant. We anticipate that our factorization theorem will also be crucial for understanding non-perturbative power corrections for the EEC, and their relationship to those appearing in other observables.
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A precise mapping from the world-sheet integral of the AdS Virasoro-Shapiro amplitude to the energy-energy correlator in strongly coupled N=4 SYM, with explicit flat-space and first curvature correction terms.
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.
The work establishes a correspondence between spin-dependent energy correlators and polarized TMDs/NECs using SCET, yielding N3LL/N2LL predictions for correlation patterns in current and target fragmentation regions.
citing papers explorer
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Sivers Tomography from Charge and Angle Only
The OPCC observable is IRC finite and factorizes into the Sivers distribution plus a perturbatively calculable charge-weighted jet function, eliminating dependence on non-perturbative fragmentation functions via charge conservation.
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Energy-Energy Correlator from the AdS Virasoro-Shapiro Amplitude
A precise mapping from the world-sheet integral of the AdS Virasoro-Shapiro amplitude to the energy-energy correlator in strongly coupled N=4 SYM, with explicit flat-space and first curvature correction terms.
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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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Energy Correlators Resolving Proton Spin
The work establishes a correspondence between spin-dependent energy correlators and polarized TMDs/NECs using SCET, yielding N3LL/N2LL predictions for correlation patterns in current and target fragmentation regions.