Intercepts of the non-singlet structure functions

Abstract

Infrared evolution equations for small-$x$ behaviour of the non-singlet structure functions $f_1^{NS}$ and $g_1^{NS}$ are obtained and solved in the next-to-leading approximation, to all orders in ${\alpha }_s$, and including running ${\alpha }_s$ effects. The intercepts of these structure functions, i.e. the exponents of the power-like small-$x$ behaviour, are calculated. A detailed comparison with the leading logarithmic approximation (LLA) and DGLAP is made. We explain why the LLA predictions for the small-$x$ dependence of the structure functions may be more reliable than the prediction for the $Q^2$ dependence in the range of $Q^2$ explored at HERA.

26 pages, LaTeX, 5 Postscript figures

References in corpus (3)

• Higher twists and ${\alpha }_s(M_Z)$ extractions from the NNLO QCD analysis of the CCFR data for $x{F}_3$ structure function
• QCD running coupling effects for the non-singlet structure function at small x
• The NNLO QCD analysis ofthe CCFR data for $x{F}_3$: $Q^2$-dependence of the parameters

Cited by in corpus (24)

• The 3-, 4-, and 5-flavor NNLO Parton from Deep-Inelastic-Scattering Data and at Hadron Colliders
• Diffractive Vector Meson Production at HERA: from Soft to Hard QCD
• Helicity Evolution at Small $x$: Flavor Singlet and Non-Singlet Observables
• The asymptotic behaviour of parton distributions at small and large $x$
• Small-$x$ Asymptotics of the Gluon Helicity Distribution
• Implication of the overlap representation for modelling generalized parton distributions
• Sum rules and dualities for generalized parton distributions: is there a holographic principle?
• Small x behavior of parton distributions. A study of higher twist effects
• Analytic Solution for the Revised Helicity Evolution at Small $x$ and Large $N_c$: New Resummed Gluon-Gluon Polarized Anomalous Dimension and Intercept
• Running coupling effects for the singlet structure function g_1 at small x
• Helicity Evolution at Small $x$: Revised Asymptotic Results at Large $N_c\&N_f$
• Non-singlet structure functions: Combining the leading logarithms resummation at small-x with DGLAP
• Treatment of the QCD coupling in high energy processes
• Global analysis of polarized DIS & SIDIS data with improved small-$x$ helicity evolution
• Spin constraints on Regge predictions and perturbative evolution in high energy collisions
• Singlet structure function g_1 at small x and small Q^2
• Off-shell scattering amplitudes in the double-logarithmic approximation
• Comment on the recent COMPASS data on the spin structure function g_1
• Perturbative power Q^2-corrections to the structure function g(1)
• On the forward-backward charge asymmetry in e+e- -annihilation into hadrons at high energies
• Elastic scattering of virtual photons via quark loop in Double-Logarithmic Approximation
• Impact of double-logarithmic electroweak radiative corrections on the non-singlet structure functions at small x
• On the large-s behavior of total cross sections in perturbative QCD
• Truncated first moment of the parton distribution - a modified approach