[SLAC] [SLAC Pubs and Reports] SLAC-PUB-7063Renormalization Scale Setting for Evolution Equation of Non-Singlet Structure Functions and Their Moments Abstract 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. (Equations render on Windows, Mac OS, AIX, Linux, Solaris, and IRIX with the techexplorer plug-in.) Full Text PDF slac-pub-7063 (129 KB) Compressed PostScript slac-pub-7063 (55.8 KB) Alternate download methods: old, ancient* *download methods - technical info techexplorer slac-pub-7063 (4.12 KB) More Information Full bibliographic data for this document, including its complete author list, is (or soon will be) available from SLAC's SPIRES-HEP Database. Please report problems with this file to posting@slac.stanford.edu. The SLAC preprint inventory is provided by the SLAC Technical Publications Department. Page generated 04 Apr 2001 @ 15:05 PDT by htmlme.pl
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. (Equations render on Windows, Mac OS, AIX, Linux, Solaris, and IRIX with the techexplorer plug-in.)
(Equations render on Windows, Mac OS, AIX, Linux, Solaris, and IRIX with the techexplorer plug-in.)
PDF slac-pub-7063 (129 KB) Compressed PostScript slac-pub-7063 (55.8 KB) Alternate download methods: old, ancient* *download methods - technical info techexplorer slac-pub-7063 (4.12 KB)
Full bibliographic data for this document, including its complete author list, is (or soon will be) available from SLAC's SPIRES-HEP Database.