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

B. I. Ermolaev·M. Greco·S. I. Troyan
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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.

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B. I. Ermolaev, M. Greco, S. I. Troyan. 2005-06-29. Non-singlet structure functions: Combining the leading logarithms resummation at small-x with DGLAP. https://doi.org/10.1016/j.physletb.2005.06.081

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