Calculating Dihadron Fragmentation Functions in the NJL-jet model

Abstract

The NJL-jet model provides a framework for calculating fragmentation functions without the introduction of ad hoc parameters. We develop the NJL-jet model to investigate dihadron fragmentation functions (DFFs) of the form $D_q^{h_1{h}_2}(z_1,z_2)$. Here we studied DFFs for $q\to \{{\pi }^{+}{\pi }^{-}\}$, $\{{\pi }^{+}{K}^{-}\}$, and $\{K^{+}{K}^{-}\}$,with $q=u,d,s$. The driving terms, which represent the probability of one of the hadrons being emitted in the first emission step of the quark-jet hadronization picture, dominate the solutions of the DFFs where either $z_1$ or $z_2$ is large, and $z_1$ ($z_2$) is the light-cone momentum fraction of the emitted hadron, $h_1$ ($h_2$). The higher order terms, which represent the probability of neither of the hadrons being emitted in the first emission step of the quark-jet, become more significant as $z_1$ ($z_2$) is lowered. Finally, we present a sample result for QCD evolution of DFFs, that significantly modify the model solutions when evolved to typical hadronic scale of $4{\mathrm{GeV}}^2$.

11 pages, 9 figures, v2: updated to correspond to published version in Phys.Rev.D

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Cited by in corpus (14)

• Parton Fragmentation Functions
• First extraction of valence transversities in a collinear framework
• Where do we stand with a 3-D picture of the proton?
• Dihadron Fragmentation Functions within the NJL-jet Model
• Studies of Azimuthal Modulations in Two Hadron Fragmentation of a Transversely Polarised Quark
• Collins Fragmentation Function within NJL-jet Model
• Extraction of the higher-twist parton distribution $e(x)$ from CLAS data
• Di-hadron fragmentation and mapping of the nucleon structure
• Several Topics on Transverse Momentum-Dependent Fragmentation Functions
• Monte Carlo Implementation of Polarized Hadronization
• Dihadron Fragmentation Functions from the NJL-jet model and their QCD Evolution
• The Effect of Vector Meson Decays on Dihadron Fragmentation Functions
• Sivers Effect in Dihadron Semi-Inclusive Deep Inelastic Scattering
• Effects of Quark Spin Flip on the Collins Fragmentation Function in a Toy Model