Perturbative evolution at small x
Abstract
The conventional approach to perturbative evolution is illegal because the expansion in powers of αs of the the DGLAP splitting matrix P(z,αs) breaks down at small z. The small-x data for the proton structure function F2(x,Q2) and its charm component Fc2(x,Q2) show that a hard pomeron, with intercept close to 1.4, must be added to the familar soft pomeron. Conventional perturbative evolution may be applied to the hard-pomeron component and provides a striking test of perturbative QCD.
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