Renormalization Scheme Consistent Structure Functions, Including Leading ln (1/x) Terms

Abstract

We present calculations of structure functions using a renormalization scheme consistent expansion which is leading order in both ln(1/x) and αs(Q2). There is no factorization scheme dependence, and the ``physical anomalous dimensions'' of Catani naturally appear. A relationship between the small x forms of the inputs F2(x,Q02) and FL(x,Q02) is predicted. Analysis of a very wide range of data for F2(x,Q2) is performed, and a very good global fit obtained. The prediction for FL(x,Q2) produced using this method is smaller than the usual NLO in αs(Q2) predictions for FL(x,Q2), and different in shape.

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