Transverse momentum dependent parton densities in a proton from the generalized DAS approach

Abstract

We use the Bessel-inspired behavior of parton densities at small Bjorken $x$ values, obtained in the case of the flat initial conditions for DGLAP evolution equations in the double scaling QCD approximation (DAS), to evaluate the transverse momentum dependent (TMD, or unintegrated) quark and gluon distribution functions in a proton. The calculations are performed analytically using the Kimber-Martin-Ryskin (KMR) prescription with different implementation of kinematical constraint, reflecting the angular and strong ordering conditions. The relations between the differential and integral formulation of the KMR approach is discussed. Several phenomenological applications of the proposed TMD parton densities to the LHC processes are given.

arXiv comment24 pages, 9 figures

References in corpus (48)

• Deep-Inelastic Inclusive ep Scattering at Low x and a Determination of alpha_s
• Analytic Model for the QCD Running Coupling with Universal ${\bar{\alpha }}_s(0)$ Value
• Parton Distribution Functions, ${\alpha }_s$ and Heavy-Quark Masses for LHC Run II
• Unintegrated parton distributions
• Measurement of the neutral current cross section and F2 structure function for deep inelastic e+p scattering at HERA
• QCD coherence in the structure function and associated distributions at small $x$
• Transverse momentum dependent (TMD) parton distribution functions: status and prospects
• The QCD Pomeron with Optimal Renormalization
• Unintegrated parton distributions and inclusive jet production at HERA
• Small x Phenomenology: Summary and Status
• Delineating parton distributions and the strong coupling
• Structure Functions of the Nucleon and their Interpretation
• NLO prescription for unintegrated parton distributions
• Soft-gluon resolution scale in QCD evolution equations
• Analytic Approach in Quantum Chromodynamics
• Collinear and TMD Quark and Gluon Densities from Parton Branching Solution of QCD Evolution Equations
• Small-x behavior of the structure function F_2 and its slope partial ln(F_2)/partial ln(1/x) for "frozen" and analytic strong-coupling constants
• A Direct Test of Perturbative QCD at Small x
• Small x behaviour of parton distributions with soft initial conditions
• Global Fractional Analytic Perturbation Theory in QCD with Selected Applications
• Pade Approximants, Optimal Renormalization Scales, and Momentum Flow in Feynman Diagrams
• Taming Landau singularities in QCD perturbation theory: The analytic approach 2.0
• Small x behavior of parton distributions. A study of higher twist effects
• Analytic and "frozen" QCD coupling constants up to NNLO from DIS data
• The contribution of off-shell gluons to the structure functions F_2^c and F_L^c$ and the unintegrated gluon distributions
• Uncertainties on ${\alpha }_S$ in the MMHT2014 global PDF analysis and implications for SM predictions
• On the one-loop calculations with Reggeized quarks
• On the analytical approximation to the GLAP evolution at small x and moderate Q^2
• Hadroproduction of electroweak gauge boson plus jets and TMD parton density functions
• Investigation of beauty production and parton shower effects at LHC
• On the use of the KMR unintegrated parton distribution functions
• Heavy Flavour Production at Tevatron and Parton Shower Effects
• Heavy-quark contributions to the ratio F_L/F_2 at low x
• QCD coupling constant at NNLO from DIS data
• Consistent treatment of charm production in higher-orders at tree-level within $k_T$-factorization approach
• Q2-evolution of parton densities at small x values. Combined H1 and ZEUS F2 data
• The contribution of off-shell gluons to the longitudinal structure function F_L
• Inclusive three- and four-jet production in multi-Regge kinematics at the LHC
• Q2-evolution of parton densities at small x values. Charm contribution in the combined H1 and ZEUS F2 data
• Phenomenology of kt-factorization for inclusive Higgs boson production at LHC
• F2c at low x
• Associated production of $Z$ bosons and $b$-jets at the LHC in the combined $k_T$ + collinear QCD factorization approach
• Inclusive Higgs boson production at the LHC in the kt-factorization approach
• New type of parametrizations for parton distributions
• TMD parton shower effects in associated $\gamma$ + jet production at LHC
• Inclusive production of Higgs boson in the two-photon channel at the LHC within $k_t$-factorization approach and with the Standard Model couplings
• First estimates of the $B_c$ wave function from the data on the $B_c$ production cross section
• $k_T$-factorization approach to the Higgs boson production in $Z{Z}^{\ast }\to 4\ell$ channel at the LHC

Cited by in corpus (5)

• TMDlib2 and TMDplotter: a platform for 3D hadron structure studies
• Transverse momentum dependent parton densities in processes with heavy quark generations
• Towards the global fit of the TMD gluon density in the proton from the LHC data
• Associated Higgs + jet(s) production at the LHC and CCFM gluon dynamics in a proton
• On x-independence of RQ = FLQ/F2Q ratio at low x