Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
1996-01-05
Phys.Rev. D54 (1996) 1094-1098
Physics
High Energy Physics
High Energy Physics - Phenomenology
15 pages, RevTeX
Scientific paper
10.1103/PhysRevD.54.1094
We use the BLM procedure to eliminate the renormalization scale ambiguity in the evolution equation for the non-singlet deep-inelastic structure function $F_2^{\text NS}(x,Q).$ The scale of the QCD coupling in the $\overline{\text{MS}}$ scheme has the form $Q^*(x) = Q (1-x)^{1/2} / x~f(x) $, where $x$ is the Bjorken variable and $f(x)$ is a smoothly varying function bounded between 0.30 to 0.45. Equivalently, the evolution of the $n$th moment of the structure function should contain an effective $\Lambda_{\text{QCD}}$ pattern, with $\Lambda_n \sim n^{1/2}$. This variation of $\Lambda_n$ agrees with experimental data.
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