Non-singlet structure functions: Combining the leading logarithms resummation at small-x with DGLAP

Abstract

The explicit expressions for the non-singlet DIS structure functions obtained at small x by resumming the most singular logarithmic contributions are discussed and compared in detail with the DGLAP evolution for different values of x and Q^2. The role played by the initial conditions for the parton densities currently used in the DGLAP analysis, on the small-$x$ behavior of the non-singlet structure functions is discussed. Explicit expressions are presented which implement the NLO DGLAP contributions with our small-x results.

The role of the standard DGLAP inputs is considered in much more detailed way than in the previous version, 8 pages, 2 figures

References in corpus (2)

• Running coupling effects for the singlet structure function g_1 at small x
• An Analytical Expression for the Non-Singlet Structure Functions at Small $x$ in the Double Logarithmic Approximation

Cited by in corpus (10)

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• Spin constraints on Regge predictions and perturbative evolution in high energy collisions
• Singlet structure function g_1 at small x and small Q^2
• Perturbative power Q^2-corrections to the structure function g(1)
• Comment on the recent COMPASS data on the spin structure function g_1
• Impact of double-logarithmic electroweak radiative corrections on the non-singlet structure functions at small x
• Origin of the Q^2-dependence of the DIS structure functions