Quark-Jet model for transverse momentum dependent fragmentation functions

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 3-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.

arXiv comment19 pages, 4 figures

References in corpus (41)

• Fragmentation of Transversely Polarized Quarks Probed in Transverse Momentum Distributions
• Time-reversal odd distribution functions in leptoproduction
• The complete tree-level result up to order $1/Q$ for polarized deep-inelastic leptoproduction
• Semi-inclusive deep inelastic scattering at small transverse momentum
• QCD Factorization for Semi-Inclusive Deep-Inelastic Scattering at Low Transverse Momentum
• Global analysis of fragmentation functions for pions and kaons and their uncertainties
• Transverse Polarisation of Quarks in Hadrons
• Single-spin asymmetries: the Trento conventions
• TMD Parton Distribution and Fragmentation Functions with QCD Evolution
• Universality of soft and collinear factors in hard-scattering factorization
• Parton-to-Pion Fragmentation Reloaded
• Modelling quark distribution and fragmentation functions
• New Quark Distributions and Semi-Inclusive Electroproduction on Polarized Nucleons
• Extraction of Quark Transversity Distribution and Collins Fragmentation Functions with QCD Evolution
• Determination of fragmentation functions and their uncertainties
• Asymmetries in polarized hadron production in e^+e^- annihilation up to order 1/Q
• Bounds on transverse momentum dependent distribution and fragmentation functions
• Investigations into the flavor dependence of partonic transverse momentum
• Unpolarised Transverse Momentum Dependent Distribution and Fragmentation Functions from SIDIS Multiplicities
• Calculation of TMD Evolution for Transverse Single Spin Asymmetry Measurements
• Collins functions for pions from SIDIS and new e+e- data: a first glance at their transverse momentum dependence
• A high-statistics measurement of transverse spin effects in dihadron production from muon-proton semi-inclusive deep-inelastic scattering
• Collins fragmentation function for pions and kaons in a spectator model
• Leading asymmetries in two-hadron production in e^+e^- annihilation at the Z pole
• On the Origin of Model Relations among Transverse-Momentum Dependent Parton Distributions
• Reviewing model calculations of the Collins fragmentation function
• The Transverse Momentum Dependent Fragmentation Function at NNLO
• NJL model on the light cone and pion structure function
• Single Spin Asymmetry in Inclusive Pion Production, Collins Effect and the String Model (revised version)
• The Collins function: a simple model calculation
• The NJL-jet model for quark fragmentation functions
• Sum rules for the T-odd fragmentation functions
• Effects of TMD evolution and partonic flavor on $e^{+}{e}^{-}$ annihilation into hadrons
• Calculating Kaon Fragmentation Functions from NJL-Jet Model
• Transverse Momentum Dependent Parton Distribution/Fragmentation Functions at an Electron-Ion Collider
• Dihadron Fragmentation Functions within the NJL-jet Model
• Momentum sum rules for fragmentation functions
• Studies of Azimuthal Modulations in Two Hadron Fragmentation of a Transversely Polarised Quark
• Collins Fragmentation Function within NJL-jet Model
• Dihadron Fragmentation Functions from the NJL-jet model and their QCD Evolution
• Sivers Effect in Dihadron Semi-Inclusive Deep Inelastic Scattering

Cited by in corpus (11)

• Parton Fragmentation Functions
• TMDs of Spin-one Targets: Formalism and Covariant Calculations
• Semi-inclusive production of two back-to-back hadron pairs in $e^{+}{e}^{-}$ annihilation revisited
• Dihadron fragmentation functions in the quark-jet model: Longitudinally polarized quarks
• Dihadron fragmentation functions in the quark-jet model: Transversely polarized quarks
• Several Topics on Transverse Momentum-Dependent Fragmentation Functions
• Quark fragmentation as a probe of dynamical mass generation
• Nuclear medium meson structures from the Schwinger proper-time Nambu--Jona-Lasinio model
• Monte Carlo Implementation of Polarized Hadronization
• Graphical Structure of Hadronization and Factorization in Hard Collisions
• Pion generalized parton distributions at zero skewness