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Calculating dihadron fragmentation functions in the Nambu–Jona-Lasinio–jet model

Andrew Casey*, Hrayr H. Matevosyan*, and Anthony W. Thomas*

  • CSSM and ARC Centre of Excellence for Particle Physics at the Terascale, School of Chemistry and Physics, University of Adelaide, Adelaide SA 5005, Australia

  • *http://www.physics.adelaide.edu.au/cssm
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Phys. Rev. D 85, 114049 – Published 27 June, 2012

DOI: https://doi.org/10.1103/PhysRevD.85.114049

Abstract

The Nambu–Jona-Lasinio–jet model provides a framework for calculating fragmentation functions without the introduction of ad hoc parameters. We develop the Nambu–Jona-Lasinio–jet model to investigate dihadron fragmentation functions (DFFs) of the form Dqh1,h2(z1,z2). Here we studied DFFs for q→{π+π−}, {π+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 z1 or z2 is large, and z1 (z2) is the light-cone momentum fraction of the emitted hadron, h1 (h2). 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 z1 (z2) is lowered. Finally, we present a sample result for QCD evolution of DFFs, that significantly modify the model solutions when evolved to typical experimental scale of 4  GeV2.

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Phys. Rev. D 85, 114049– Published 27 June, 2012
  • Received 27 February 2012

© 2012 American Physical Society

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