Twist-4 T-even proton TMDs in the light-front quark-diquark model

Abstract

We have dealt with the twist-4 T-even transverse momentum-dependent parton distributions (TMDs) for the case of proton in the light-front quark-diquark model (LFQDM). By decoding the unintegrated quark-quark correlator for the semi-inclusive deep inelastic scattering (SIDIS), we have specifically obtained the overlap form for the unpolarized \bigg($f_3^{\nu }(x,{\mathbf{p}}_{\perp }^2)$\bigg), longitudinally polarized \bigg($g_{3L}^{\nu }(x,{\mathbf{p}}_{\perp }^2),h_{3L}^{\perp \nu }(x,{\mathbf{p}}_{\perp }^2)$\bigg) and transversely polarized \bigg( $g_{3T}^{\nu }(x,{\mathbf{p}}_{\perp }^2),h_{3T}^{\nu }(x,{\mathbf{p}}_{\perp }^2)$ and $h_{3T}^{\nu \perp }(x,{\mathbf{p}}_{\perp }^2)$\bigg) proton TMDs. We have provided the explicit expressions for both the cases of the diquark being a scalar or a vector. Average transverse momenta and the average square transverse momenta for the TMDs have been calculated and the results have been tabulated with corresponding leading twist TMDs. In addition, the value of average transverse momentum and average square transverse momentum for TMD $f_3^{\nu }(x,{\mathbf{p}}_{\perp }^2)$ has been compared with the available light-front constituent quark model (LFCQM) results. From TMDs, we have also obtained and discussed the transverse momentum-dependent parton distribution functions (TMDPDFs). The model relations of the twist-4 T-even TMDs with the available leading twist T-even TMDs have also been obtained.

arXiv commentAccepted in International Journal of Modern Physics A

References in corpus (130)

• Fragmentation of Transversely Polarized Quarks Probed in Transverse Momentum Distributions
• Leading-twist Single-transverse-spin asymmetries: Drell-Yan and Deep-Inelastic Scattering
• Time-reversal odd distribution functions in leptoproduction
• Final-State Interactions and Single-Spin Asymmetries in Semi-Inclusive Deep Inelastic Scattering
• Semi-inclusive deep inelastic scattering at small transverse momentum
• QCD Factorization for Semi-Inclusive Deep-Inelastic Scattering at Low Transverse Momentum
• Single-spin asymmetries in semi-inclusive deep-inelastic scattering on a transversely polarized hydrogen target
• Final state interactions and gauge invariant parton distributions
• The Spin Structure of the Nucleon
• Light-Front Dynamics and AdS/QCD Correspondence: The Pion Form Factor in the Space- and Time-Like Regions
• Universality of soft and collinear factors in hard-scattering factorization
• First Measurement of the Transverse Spin Asymmetries of the Deuteron in Semi-Inclusive Deep Inelastic Scattering
• Transversity and Collins functions from SIDIS and e+e- data
• Relations between generalized and transverse momentum dependent parton distributions
• Observation of a Single-Spin Azimuthal Asymmetry in Semi-Inclusive Pion Electro-Production
• Transverse-momentum distributions in a diquark spectator model
• Investigating the origins of transverse spin asymmetries at RHIC
• Modelling quark distribution and fragmentation functions
• New Quark Distributions and Semi-Inclusive Electroproduction on Polarized Nucleons
• The role of Cahn and Sivers effects in Deep Inelastic Scattering
• A new measurement of the Collins and Sivers asymmetries on a transversely polarised deuteron target
• Bootstrapping rapidity anomalous dimension for transverse-momentum resummation
• Extraction of Quark Transversity Distribution and Collins Fragmentation Functions with QCD Evolution
• Nucleon Parton Distributions at Low Normalization Point in the Large N_c Limit
• Measuring transversity densities in singly polarized hadron-hadron and lepton-hadron collisions
• Nucleon Helicity and Transversity Parton Distributions from Lattice QCD
• Unpolarized Transverse Momentum Dependent Parton Distribution and Fragmentation Functions at next-to-next-to-leading order
• Measurement of Azimuthal Asymmetries in Inclusive Production of Hadron Pairs in e+e- Annihilation at Belle
• Calculation of the transverse parton distribution functions at next-to-next-to-leading order
• Transverse-Spin and Transverse-Momentum Effects in High-Energy Processes
• Asymmetries in polarized hadron production in e^+e^- annihilation up to order 1/Q
• Single-Transverse Spin Asymmetries: From DIS to Hadronic Collisions
• Transverse momentum dependent parton distributions in a light-cone quark model
• Azimuthal and Single Spin Asymmetries in Hard Scattering Processes
• Bounds on transverse momentum dependent distribution and fragmentation functions
• Parameterization of the quark-quark correlator of a spin-1/2 hadron
• Exploring quark transverse momentum distributions with lattice QCD
• Dilepton production from polarized hadron hadron collisions
• Soft-/rapidity- anomalous dimensions correspondence
• Unpolarized and polarized quark distributions in the large-Nc limit
• Impact Parameter Dependent Parton Distributions and Transverse Single Spin Asymmetries
• Investigations into the flavor dependence of partonic transverse momentum
• The Universal Transverse Momentum Dependent Soft Function at NNLO
• The transverse momentum dependent distribution functions in the bag model
• Unpolarised Transverse Momentum Dependent Distribution and Fragmentation Functions from SIDIS Multiplicities
• Sivers effect in semi-inclusive deeply inelastic scattering
• Measurement of Beam-Spin Asymmetries for Deep Inelastic ${\pi }^{+}$ Electroproduction
• Sivers and Boer-Mulders observables from lattice QCD
• Updated Lattice Results for Parton Distributions
• Origin of single transverse-spin asymmetries in high-energy collisions
• Quark Transverse Parton Distribution at the Next-to-Next-to-Next-to-Leading Order
• Generalized parton distributions in AdS/QCD
• Fully Unintegrated Parton Correlation Functions and Factorization in Lowest Order Hard Scattering
• Unified framework for generalized and transverse-momentum dependent parton distributions within a 3Q light-cone picture of the nucleon
• Transverse Quark Spin Effects and the Flavor Dependence of the Boer-Mulders Function
• Sivers Function in the MIT Bag Model
• Infrared divergences and non-lightlike eikonal lines in Sudakov processes
• Transverse momentum dependent PDFs at N${}^3$LO
• Measurement of Angular Distributions of Drell-Yan Dimuons in p + d Interaction at 800 GeV/c
• Light-front quark model consistent with Drell-Yan-West duality and quark counting rules
• Azimuthal spin asymmetries in light-cone constituent quark models
• Intrinsic quark transverse momentum in the nucleon from lattice QCD
• Transverse-momentum-dependent gluon distribution functions in a spectator model
• Transversity distributions in the nucleon in the large-N_c limit
• Transverse Parton Distribution and Fragmentation Functions at NNLO: the Quark Case
• Renormalization, Wilson lines, and transverse-momentum dependent parton distribution functions
• Parton Distribution Functions from Ioffe time pseudo-distributions
• Pretzelosity $h_{1T}^{\perp }$ and quark orbital angular momentum
• Endpoint singularities in unintegrated parton distributions
• Isovector unpolarized quark distribution in the nucleon in the large-N_c limit
• Generalized parton distributions and transverse densities in a light-front quark-diquark model for the nucleons
• Generalized Parton Distributions for the Proton in AdS/QCD
• Sivers and Boer-Mulders functions in Light-Cone Quark Models
• Nucleon Transverse Momentum-dependent Parton Distributions in Lattice QCD: Renormalization Patterns and Discretization Effects
• Transversity quark distributions in a covariant quark-diquark model
• Intrinsic transverse momentum and parton correlations from dynamical chiral symmetry breaking
• Transverse momentum dependent distribution functions in a covariant parton model approach with quark orbital motion
• Proton structure from a light-front Hamiltonian
• Transverse Momentum Dependent Fragmentation and Quark Distribution Functions from the NJL-jet Model
• Collins azimuthal asymmetries of hadron production inside jets
• Pretzelosity distribution function h_1T^perp and the single spin asymmetry A_UT^sin(3phi-phi_S)
• Measurement of unpolarized semi-inclusive pi+ electroproduction off the proton
• Sivers effect in Drell Yan at RHIC
• A light front quark-diquark model for the nucleons
• Effect of Orbital Angular Momentum on Valence-Quark Helicity Distributions
• A quark model analysis of the Sivers function
• Gravitational form factors and mechanical properties of proton in a light-front quark-diquark model
• Twist-2 matching of transverse momentum dependent distributions
• Subleading-twist effects in single-spin asymmetries in semi-inclusive deep-inelastic scattering on a longitudinally polarized hydrogen target
• Nucleon tensor charge from Collins azimuthal asymmetry measurements
• Naive time-reversal odd phenomena in semi-inclusive deep-inelastic scattering from light-cone constituent quark models
• Higher twist and transverse momentum dependent parton distributions: a light-front hamiltonian approach
• The chirally-odd twist-3 distribution function e(x) in the chiral quark-soliton model
• Model calculations of the Sivers function satisfying the Burkardt Sum Rule
• Phases of Augmented Hadronic Light-Front Wave Functions
• Transverse-momentum dependent parton distribution functions beyond leading twist in quark models
• Transverse spin effects in hard semi-inclusive collisions
• Nucleon structure in a light-front quark model consistent with quark counting rules and data
• Twist-4 contributions to the azimuthal asymmetry in SIDIS
• The twist-three distribution $e^q(x,k_{\perp })$ in a light-front model
• Calculations of Higher Twist Distribution Functions in the MIT Bag Model
• Snowmass 2021 White Paper: Electron Ion Collider for High Energy Physics
• Densities, Parton Distributions, and Measuring the Non-Spherical Shape of the Nucleon
• Transverse structure of proton in a light-front quark-diquark model
• Single Transverse-Spin Asymmetries at Large-x
• Extraction of the distribution function $h_{1T}^{\perp }$ from experimental data
• Transverse momentum distributions of quarks in the nucleon from the Chiral Quark Soliton Model
• Nucleon parton distributions in a light-front quark model
• Pi N sigma-term and chiral-odd twist-3 distribution function e(x) of the nucleon in the chiral quark soliton model
• The nonperturbative origin of delta-function singularity in the chirally-odd twist-3 distribution function e(x)
• Relating transverse structure of various parton distributions
• Chiral Odd Structure Functions from a Chiral Soliton
• Twist-4 contributions to semi-inclusive deeply inelastic scatterings with polarized beam and target
• Transversity measurements at HERMES
• Transverse momentum dependent transversely polarized distributions at next-to-next-to-leading-order
• Structure of the nucleon at leading and subleading twist in the covariant parton model
• T-odd quark-gluon-quark correlation function in the diquark model
• Sivers Asymmetries for Inclusive Pion and Kaon Production in Deep-Inelastic Scattering
• Chiral-odd distribution functions in the chiral quark soliton model
• A spectator-model way to transverse-momentum-dependent gluon distribution functions
• Sivers and Boer-Mulders GTMDs in Light-front Holographic Quark-diquark Model
• Twist Three Distribution e(x) : Sum Rules and Equation of Motion Relations
• Sivers and $\cos 2\varphi$ Asymmetries in Semi-inclusive Deep Inelastic Scattering in Light-front Holographic Model
• Scaling of PDFs, TMDs, and GPDs in soft-wall AdS/QCD
• Transversity Distribution Functions in the Valon Model
• Collinear parton distributions and the structure of the nucleon sea in a light-front meson-cloud model
• Twist Three Distribution f_\perp(x,k^\perp) in Light-front Hamiltonian Approach
• Phenomenology of the hadronic structure at small-$x$
• Toward twist-2 $T$-odd transverse-momentum-dependent gluon distributions: the $f$-type linearity function
• Toward twist-2 $T$-odd transverse-momentum-dependent gluon distributions: the $f$-type Sivers function

Cited by in corpus (12)

• T-even TMDs for the spin-0 pseudo-scalar mesons upto twist-4 using light-front formalism
• Leading twist T-even TMDs for the spin-1 heavy vector mesons
• Several Topics on Transverse Momentum-Dependent Fragmentation Functions
• Exploring twist-4 chiral-even GPDs in the light-front quark-diquark model
• Unraveling sub-leading twist GTMDs of proton using LFQDM
• Twist-4 proton GTMDs in the light-front quark-diquark model
• Generalized parton distributions for the lowest-lying octet baryons
• TMD Relations: Insights from a Light-Front Quark-Diquark Model
• Deciphering Twist-3 Chiral-Even GPDs in the Light-Front Quark-Diquark Model
• Transverse distortion and single-spin asymmetries for low-lying octet baryons
• Role of higher twist distributions in the tomography of proton
• Mechanical properties of proton in the momentum space