Quark-jet model for transverse momentum dependent fragmentation functions
Date
2016
Authors
Bentz, W.
Kotzinian, A.
Matevosyan, H.
Ninomiya, Y.
Thomas, A.
Yazaki, K.
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Journal article
Citation
Physical Review D: Particles, Fields, Gravitation and Cosmology, 2016; 94(3):034004-1-034004-21
Statement of Responsibility
W. Bentz, A. Kotzinian, H. H. Matevosyan, Y. Ninomiya, A.W. Thomas and K. Yazaki
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Abstract
In order to describe the hadronization of polarized quarks, we discuss an extension of the quark-jet model to transverse momentum dependent fragmentation functions. The description is based on a product ansatz, where each factor in the product represents one of the transverse momentum dependent splitting functions, which can be calculated by using effective quark theories. The resulting integral equations and sum rules are discussed in detail for the case of inclusive pion production. In particular, we demonstrate that the three-dimensional momentum sum rules are satisfied naturally in this transverse momentum dependent quark-jet model. Our results are well suited for numerical calculations in effective quark theories and can be implemented in Monte Carlo simulations of polarized quark hadronization processes.
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© 2016 American Physical Society