Dihadron fragmentation functions from the NJL-jet model and their QCD evolution

Casey, A.; Cloët, Ian C.; Matevosyan, Hrayr H.; Thomas, A. W.

doi:10.1103/physrevd.86.114018

Cited by 14 publications

(19 citation statements)

References 108 publications

(133 reference statements)

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“…9, show the significant modification of the DFFs with evolution. The details for solving the evolution equations and the complete set of results for evolved DFFs will be presented in our upcoming paper [88]. A comparison between our results and others will also be presented in that work.…”

Section: Conclusion and Outlooksmentioning

confidence: 88%

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

2012

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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 D h 1 ,h 2 q (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 GeV 2 .

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Section: Conclusion and Outlooksmentioning

confidence: 88%

“…[84][85][86][87]. The details on the evolution method employed, along with the full set of the results, will be presented in our upcoming paper [88]. As an example, here we present the results for LO evolution of D …”

Section: Evolution Of the Dffsmentioning

confidence: 99%

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

2012

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“…(4) can be studied in models, such as Refs. [12,[23][24][25], and extracted using MC generators analogous to the studies [26,27] of unpolarized DiFFs that depend on z and M h . Alternatively, these DiFFs and Sivers PDF can be extracted from experiment using our simple parametrizations of Sec.…”

Section: Discussionmentioning

confidence: 99%

Sivers effect in dihadron semi-inclusive deep inelastic scattering

2014

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The Sivers effect describes the correlation of the unpolarized parton's transverse momentum with the transverse spin of the nucleon. It manifests as a sine modulation of the cross section for singlehadron semi-inclusive deep inelastic scattering (SIDIS) on a transversely polarized nucleon with the azimuthal angle between the produced hadron's transverse momentum and the nucleon spin (ϕ h and ϕS, respectively). It has been recently suggested that the Sivers effect can also be measured in two-hadron SIDIS process as sine modulations involving the azimuthal angles ϕT and ϕR of both the total and the relative transverse momenta of the hadron pair. Here we present the detailed derivation of the two-hadron SIDIS cross section using simple parton-model inspired functional forms for both the parton distribution and the fragmentation functions. We show explicitly that the terms corresponding to the sin(ϕR − ϕS) and sin(ϕT − ϕS) modulations are nonzero. Further, we derive the cross section expressions for single-hadron production in the two-hadron sample. Finally, we employ a modified version of the LEPTO Monte Carlo event generator that includes the Sivers effect to estimate the size of single spin asymmetries corresponding to these modulations independent of the formalism developed.

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“…The DFFs for pion, kaon and mixed pairs were calculated using the integral equation formalism, while their scale evolution was studied in Ref. [10]. In these papers, only pion and kaon emission channels were considered.…”

Section: Epj Web Of Conferencesmentioning

confidence: 99%

“…For theoretical models of DFF, a detailed picture of the hadronization final states should be given, as the leading hadron approximation typically used in FF models is insufficient here. On the other hand, the comparison of the DFFs with experimental extractions would serve as an extra constraint on these models which provide a complete hadronization description, such as the Lund model [4] implemented in the PYTHIA event generator [5,6] and those based on the quark-jet model [7][8][9][10].…”

Section: Introductionmentioning

confidence: 99%

The Effect of Vector Meson Decays on Dihadron Fragmentation Functions

Matevosyan

Thomas

Bentz

2014

EPJ Web of Conferences

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Abstract. Dihadron Fragmentation Functions (DFF) provide a vast amount of information on the intricate details of the parton hadronization process. Moreover, they provide a unique access to the "clean" extraction of nucleon transversity parton distribution functions in semi inclusive deep inelastic two hadron production process with a transversely polarised target. On the example of the u → π + π − , we analyse the properties of unpolarised DFFs using their probabilistic interpretation. We use both the NJL-jet hadronization model and PYTHIA 8.1 event generator to explore the effect of the strong decays of the vector mesons produced in the quark hadronization process on the pseudoscalar DFFs. Our study shows that, even though it is less probable to produce vector mesons in the hadronization process than pseudo scalar mesons of the same charge, the products of their strong decays drastically affect the DFFs for pions because of the large combinatorial factors. Thus, an accurate description of both vector meson production and decays are crucial for theoretical understanding of DFFs.

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Dihadron fragmentation functions from the NJL-jet model and their QCD evolution

Cited by 14 publications

References 108 publications

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

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

Sivers effect in dihadron semi-inclusive deep inelastic scattering

The Effect of Vector Meson Decays on Dihadron Fragmentation Functions

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