DIS Polarized Structure Functions at small x
M. Greco · 2007
Explicit expressions for the non-singlet and singlet spin-dependent structure function g 1 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 α s effects.Both the non-singlet and singlet structure functions are Regge behaved asymptotically, with the intercepts predicted in agreement with experiments.A detailed comparison with the DGLAP evolution equations for different values of x and Q 2 is performed.The role played by singular terms in DGLAP fits for the initial quark densities is discussed and explicitly shown to mimic the resummation of leading logarithms at small-x.Finally, explicit expressions for the singlet g 1 at small x and small Q 2 are obtained with the total resummation of the leading logarithmic contributions.It is shown that g 1 practically does not depend on x in this kinematic region.