Deep Inelastic Structure Functions at small x
B. I. Ermolaev, M. Greco, S. I. Troyan
Abstract
Explicit expressions for the non-singlet and singlet structure functions g1 in the small-x region are obtained. They include the total resummation of the double- and single- logarithms of x and account for the running QCD coupling effects. Both the non-singlet and singlet structure functions are Regge behavied asymptotically, with the intercepts predicted in agreement with experiments. A detailed comparison with the DGLAP evolution equations for different values of x and Q2 is performed. Finally, the role played by singular terms in DGLAP fits is discussed and explicitly shown to mimic the resummation of leading logarithms at small x.
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