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The dihadron fragmentation function and its evolution
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abstract
Dihadron fragmentation functions and their evolution are studied in the process of $e^+e^-$ annihilation. Under the collinear factorization approximation and facilitated by the cut-vertex technique, the two hadron inclusive cross section at leading order (LO) is shown to factorize into a short distance parton cross section and a long distance dihadron fragmentation function. We provide the definition of such a dihadron fragmentation function in terms of parton matrix elements and derive its DGLAP evolution equation at leading log. The evolution equation for the non-singlet quark fragmentation function is solved numerically with a simple ansatz for the initial condition and results are presented for cases of physical interest.
Forward citations
Cited by 4 Pith papers
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Dihadron Angular Correlations in the $e^+e^-$ Collision
The paper derives the first complete O(alpha_s^2) analytic QCD corrections to the dihadron angular separation distribution in e+e- annihilation, with verified cancellation of infrared poles.
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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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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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Factorization and Resummation for the Nearside Energy-Energy Correlators
A new all-order resummation formula in Fourier b_T-space for the nearside energy-energy correlator, derived from di-hadron fragmentation functions, matches fixed-order calculations and predicts a small-angle turnover.
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