Parton distribution and fragmentation functions with massive gluons

Abstract

The correct description of the hadron's structure requires understanding how quarks and gluons form the observable hadrons and how they are distributed within them. Two key nonperturbative quantities encapsulate this information: parton distribution functions (PDFs) and fragmentation functions (FFs). The former define a probabilistic light-front momentum distribution of partons within a hadron, whereas the latter describe the hadronization process of high-energy partons. Computing these functions analytically poses significant challenges, as it demands models that accurately incorporate the nonperturbative infrared dynamics of Quantum Chromodynamics (QCD). In this work, we compute the pion PDF and its elementary and full FFs using the Curci-Ferrari (CF) model. This model enables the exploration of nonperturbative QCD effects by introducing a gluon-mass scale within the Landau gauge QCD Lagrangian. The two-point quark and gluon correlation functions derived from the CF model agree well with lattice QCD results and reproduce the pion decay constant in the chiral limit, consistent with chiral perturbation theory. The resulting pion PDF and FFs computed with the CF quark propagator and pion Bethe-Salpeter amplitude are in good qualitative and quantitative agreement with those obtained using the Qin-Chang model, a benchmark approach to nonperturbative QCD. These findings support the broader applicability of the Curci-Ferrari model in hadron phenomenology.

9 pages, 4 figures

References in corpus (56)

• Gluon and ghost propagators in the Landau gauge: Deriving lattice results from Schwinger-Dyson equations
• Lattice gluodynamics computation of Landau-gauge Green's functions in the deep infrared
• Transverse Polarisation of Quarks in Hadrons
• Pinch Technique: Theory and Applications
• Collective perspective on advances in Dyson-Schwinger Equation QCD
• QCDNUM: Fast QCD Evolution and Convolution
• Analytic properties of the Landau gauge gluon and quark propagators
• Interaction model for the gap equation
• Bridging a gap between continuum-QCD and ab initio predictions of hadron observables
• On the IR behaviour of the Landau-gauge ghost propagator
• Light mesons in QCD and unquenching effects from the 3PI effective action
• An Infrared Safe perturbative approach to Yang-Mills correlators
• Landau-gauge propagators in Yang-Mills theories at beta = 0: massive solution versus conformal scaling
• A dynamical gluon mass solution in a coupled system of the Schwinger-Dyson equations
• Three-point correlation functions in Yang-Mills theory
• Lattice Gluon and Ghost Propagators, and the Strong Coupling in Pure SU(3) Yang-Mills Theory: Finite Lattice Spacing and Volume Effects
• Valence parton distribution of pion from lattice QCD: Approaching continuum
• Fully coupled functional equations for the quark sector of QCD
• Beyond the rainbow: effects from pion back-coupling
• Pion and kaon valence-quark parton distribution functions
• On the Quark-Gluon Vertex and Quark-Ghost Kernel: combining Lattice Simulations with Dyson-Schwinger equations
• Two-point correlation functions of QCD in the Landau gauge
• High Precision Statistical Landau Gauge Lattice Gluon Propagator Computation vs. the Gribov-Zwanziger approach
• Transverse Momentum Dependent Fragmentation and Quark Distribution Functions from the NJL-jet Model
• Quark gap equation with non-abelian Ball-Chiu vertex
• Two loop calculation of Yang-Mills propagators in the Curci-Ferrari model
• Distinguishing Quarks and Gluons in Pion and Kaon PDFs
• Non-Abelian Ball-Chiu vertex for arbitrary Euclidean momenta
• $⟨x⟩$ and $⟨x^2⟩$ of the pion PDF from Lattice QCD with $N_f=2+1+1$ dynamical quark flavours
• Small parameters in infrared quantum chromodynamics
• The NJL-jet model for quark fragmentation functions
• Quark-gluon vertex from the Landau gauge Curci-Ferrari model
• Transverse Takahashi Identities and Their Implications for Gauge Independent Dynamical Chiral Symmetry Breaking
• Calculating Kaon Fragmentation Functions from NJL-Jet Model
• The ghost-antighost-gluon vertex from the Curci-Ferrari model: Two-loop corrections
• A combined study of the pion's static properties and form factors
• Interplay of dynamical and explicit chiral symmetry breaking effects on a quark
• The soft-gluon limit and the infrared enhancement of the quark-gluon vertex
• Going to the light front with contour deformations
• The Quark-Gluon Vertex and the QCD Infrared Dynamics
• Monte Carlo Simulations of Hadronic Fragmentation Functions using NJL-Jet Model
• The Mellin moments $⟨x⟩$ and $⟨x^2⟩$ for the pion and kaon from lattice QCD
• Spontaneous chiral symmetry breaking in the massive Landau gauge: realistic running coupling
• Double parton distributions in the pion in the Nambu and Jona-Lasinio model
• Pion Valence Quark Distribution at Physical Pion mass of $N_f=2+1+1$ Lattice QCD
• Two-loop three-gluon vertex from the Curci-Ferrari model and its leading infrared behavior to all loop orders
• Reply to "Comment on 'Lattice Gluon and Ghost Propagators, and the Strong Coupling in Pure SU(3) Yang-Mills Theory: Finite Lattice Spacing and Volume Effects' "
• Gauge dependence of the quark gap equation: an exploratory study
• Fragmentation functions and parton distribution functions for the pion with the nonlocal interactions
• Symmetry restoration and the gluon mass in the Landau gauge
• One-loop unquenched three-gluon and ghost-gluon vertex in the Curci-Ferrari model
• The analytic structure of the Landau gauge quark propagator from Padé analysis
• Four-gluon vertex from the Curci-Ferrari model at one-loop order
• Parton distribution functions and transverse momentum dependence of heavy mesons
• Small parameters in infrared QCD: The pion decay constant
• The Podolsky propagator in gap and bound-state equations

Cited by in corpus (1)

• Determination of the pion generalized parton distributions at zero skewness