Absorptive effects and power corrections in low $x$ DGLAP evolution

Abstract

We address a long standing problem concerning the scale behaviour of parton densities in the low $x$, low $Q^2$ domain. We emphasize the important role of absorptive corrections at low $x$ and use knowledge of diffractive deep inelastic scattering to exclude the absorptive effect from conventional deep inelastic data. In this way we obtain a significantly different low $x$ behaviour of the gluon density, which is now much better described by linear DGLAP evolution. Accounting also for a second power correction, which arises from the freezing of ${\alpha }_s$ at low $Q^2$, leads to an essentially flat behaviour of the low $x$ gluon density.

16 pages, 7 figures, 3 tables, text and 2 figures improved

References in corpus (16)

• Operator expansion for high-energy scattering
• LHAPDF6: parton density access in the LHC precision era
• Parton distributions from high-precision collider data
• New parton distribution functions from a global analysis of quantum chromodynamics
• Small-x F_2 Structure Function of a Nucleus Including Multiple Pomeron Exchanges
• Parton distributions in the LHC era: MMHT 2014 PDFs
• QCDNUM: Fast QCD Evolution and Convolution
• Parton distributions with small-x resummation: evidence for BFKL dynamics in HERA data
• Freezing of the QCD coupling constant and solutions of Schwinger-Dyson equations
• Taming Landau singularities in QCD perturbation theory: The analytic approach 2.0
• Diffractive parton distributions from H1 data
• "Massive" Perturbative QCD, regular in the IR limit
• Study of HERA ep Data at Low Q^2 and Low x_Bj and the Need for Higher-Twist Corrections to Standard pQCD Fits
• Diffractive parton distributions from perturbative QCD
• Evidence of quasi-partonic higher-twist effects in deep inelastic scattering at HERA at moderate $Q^2$
• Novel solutions of RG equations for alpha(s) and beta(alpha) in the large N_c limit

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• Nonlinear corrections on the parameterization methods
• Beyond DGLAP improved saturation model
• Non-linear corrections to the longitudinal structure function $F_L$ from the parametrization of $F_2$: Laplace transform approach
• The Diffractive Contribution to Deep Inelastic Lepton-Proton Scattering: Implications for QCD Momentum Sum Rules and Parton Distributions
• The Proton Gluon Distribution from the Color Dipole Picture
• Nonlinear Corrections to the Momentum Sum Rule
• Laplace's method for elastic scattering diagrams within multi-particle fields model
• One-to-One correspondence of soft and hard Pomeron with the CDP of the gluon density at low $x$