Physical Anomalous Dimensions at Small $x$

Abstract

I present a theoretical discussion of the uncertainties related to the QCD analysis of the proton structure function $F_2(x,Q^2)$ at small $x$. The role played by the `unphysical' gluon density is pointed out. It is shown how the study of more observables can reduce the theoretical uncertainty and, in particular, an alternative method of analysis, based on the introduction of physical anomalous dimensions, is suggested.

26 pages, LateX

Cited by in corpus (41)

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• Measurement of the Longitudinal Proton Structure Function at HERA
• Small x behaviour of parton distributions with soft initial conditions
• The Running Coupling BFKL Anomalous Dimensions and Splitting Functions
• Mellin Representation for the Heavy Flavor Contributions to Deep Inelastic Structure Functions
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• Reflections upon the Emergence of Hadronic Mass
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• On threshold resummation beyond leading 1-x order
• Absence of pi^2 terms in physical anomalous dimensions in DIS: verification and resulting predictions
• On the Consistent Use of Scale Variations in PDF Fits and Predictions
• The role of F_L(x,Q^2) in parton analyses
• The N${}^3$LO Scheme-invariant QCD Evolution of the Non-singlet Structure Functions \boldmath $F_2^{\mathrm{NS}}(x,Q^2)$ and $g_1^{\mathrm{NS}}(x,Q^2)$
• The Small x Behaviour of Altarelli-Parisi Splitting Functions
• Large-x structure of physical evolution kernels in Deep Inelastic Scattering
• Evolution of truncated moments of singlet parton distributions
• Transverse momentum dependent parton densities in processes with heavy quark generations
• Solving the Altarelli-Parisi equations with truncated moments
• A dispersive approach to Sudakov resummation
• A Variable Flavour Number Scheme for Heavy Quark Production at Small x
• High energy factorization predictions for the charm structure function F2^c at HERA
• The Challenge of Small x
• The ratio of the beauty structure functions $R^b=F_L^b/F_2^b$ at low x
• A Complete Leading-Order, Renormalization-Scheme-Consistent Calculation of Structure Functions
• Comparison of NNLO DIS scheme splitting functions with results from exact gluon kinematics at small x
• Constant terms in threshold resummation and the quark form factor
• Evolution of structure functions in momentum space
• Small x behavior of the slope dlnF_2/dln(1/x) in the framework of perturbative QCD
• Evolution of the longitudinal structure function at small x
• On higher-order flavour-singlet splitting and coefficient functions at large x
• On threshold resummation of singlet structure and fragmentation functions
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• Next-to-leading order evolution of structure functions without PDFs
• Conformal Symmetry as a Template: Commensurate Scale Relations and Physics Renormalization Schemes
• BFKL at next-to-leading order