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Simplicity from Recoil: The Three-Loop Soft Function and Factorization for the Energy-Energy Correlation

7 Pith papers cite this work. Polarity classification is still indexing.

7 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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2026 6 2025 1

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representative citing papers

Sivers Tomography from Charge and Angle Only

hep-ph · 2026-05-14 · conditional · novelty 8.0

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.

Energy-Energy Correlator from the AdS Virasoro-Shapiro Amplitude

hep-th · 2026-01-08 · unverdicted · novelty 8.0

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.

Energy Correlators Resolving Proton Spin

hep-ph · 2025-09-22 · conditional · novelty 7.0

Spin-dependent energy correlators in polarized DIS provide a new way to probe the proton's spin structure, with resummed predictions in current and target fragmentation regions.

The one-point charge correlator in deep inelastic scattering

hep-ph · 2026-06-25 · unverdicted · novelty 6.0

Defines an IRC-safe one-point charge correlator in DIS, relates it to a new nucleon charge correlator in the forward limit and to TMDs in the back-to-back limit, with SCET derivations verified in QCD to O(alpha_s^2) and resummations to NLL/N3LL.

citing papers explorer

Showing 7 of 7 citing papers.

  • Sivers Tomography from Charge and Angle Only hep-ph · 2026-05-14 · conditional · none · ref 22 · internal anchor

    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.

  • Energy-Energy Correlator from the AdS Virasoro-Shapiro Amplitude hep-th · 2026-01-08 · unverdicted · none · ref 49 · internal anchor

    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.

  • Energy Correlators Resolving Proton Spin hep-ph · 2025-09-22 · conditional · none · ref 50 · internal anchor

    Spin-dependent energy correlators in polarized DIS provide a new way to probe the proton's spin structure, with resummed predictions in current and target fragmentation regions.

  • The one-point charge correlator in deep inelastic scattering hep-ph · 2026-06-25 · unverdicted · none · ref 17 · internal anchor

    Defines an IRC-safe one-point charge correlator in DIS, relates it to a new nucleon charge correlator in the forward limit and to TMDs in the back-to-back limit, with SCET derivations verified in QCD to O(alpha_s^2) and resummations to NLL/N3LL.

  • Multiplicity-dependent forward jet production in proton-nucleus collisions hep-ph · 2026-06-09 · unverdicted · none · ref 78 · internal anchor

    CGC plus SCET semi-inclusive jet functions yield a multiplicity-conditioned forward-jet factorization that reduces exactly to the known inclusive CGC jet cross section.

  • Operator structure of power corrections and anomalous scaling in energy correlators hep-ph · 2026-04-13 · unverdicted · none · ref 18

    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.

  • Factorization of the Energy-Energy Correlation in the two-jet limit in the massive case hep-ph · 2026-06-24 · unverdicted · none · ref 7 · internal anchor

    Authors introduce a partial two-jet event fraction for massive-quark EEC and an improved factorization scheme with χ-dependent coefficient function.