Renormalization scheme consistent structure functions, including leading ln(1/χ) terms

We present calculations of structure functions using a renormalization scheme consistent expansion which is leading order in both ln(1/χ) and α_s (Q²). There is no factorization scheme dependence, and the ``physical anomalous dimensions'' of Catani naturally appear. A relationship between the small χ forms of the inputs F₂(χ,Q²₀) andF_l (χ,Q²₀) is predicted. Analysis of a very wide range of data for F₂(χ,Q²) is performed, and a very good global fit obtained. The prediction forF_l (χ,Q²) produced using this method is smaller than the usual NLO in α_s(Q²) predictions for F_l(χ,Q²), and different in shape.