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QCD Factorization from Light-ray OPE
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The energy-energy correlator (EEC) in Quantum Chromodynamics (QCD) serves as an important event shape for probing the substructure of jets in high-energy collisions. A significant progress has been make in understanding the collinear limit, where the angle between two detectors approaches zero, from the factorization formula in QCD and the light-ray Operator Product Expansion (OPE) in Conformal Field Theory. Building upon prior research on the renormalization of light-ray operators, we take an innovative step to extend the light-ray OPE into non-conformal contexts, with a specific emphasis on perturbative QCD. Our proposed form of the light-ray OPE is constrained by three fundamental properties: Lorentz symmetry, renormalization group invariance, and constraints from physical observables. This extension allows us to derive a factorization formula for the collinear limit of EEC, facilitating the future exploration and understanding on subleading power corrections in collinear limit.
Forward citations
Cited by 6 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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Energy-Energy Correlator at Hadron Colliders: Celestial Blocks and Singularities
First analytic leading-order calculation of the full-angle energy-energy correlator in hadron collisions, with celestial block decomposition and Regge-limit factorization.
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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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Heavy Quark Pair Energy Correlators: From Profiling Partonic Splittings to Probing Heavy-Flavor Fragmentation
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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Quantum Scaling in Energy Correlators Beyond the Confinement Transition
In the post-confinement regime the small-angle energy-energy correlator scales with the collision energy through the J=5 DGLAP anomalous dimension, and the light-ray OPE coefficients are moments of the dihadron fragme...
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Regge trajectories, detectors, and distributions in the critical ${\rm O}(N)$ model
In the critical O(N) model, renormalizing detector and distribution light-ray operators at leading order in 1/N yields Regge intercepts, the leading-twist splitting function, and a BFKL-type anomalous spin.
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