Abstract
In the paper, we analyze the properties of Gross-Llewellyn Smith (GLS) sum rule by using the O(αs4)-order QCD corrections with the help of principle of maximum conformality (PMC). By using the PMC single-scale approach, we obtain an accurate renormalization scale-and-scheme independent fixed-order pQCD contribution for GLS sum rule, e.g. SGLS(Q02=3GeV2)|PMC=2.559−0.024+0.023, where the error is squared average of those from Δαs(MZ), the predicted O(αs5)-order terms predicted by using the Padé approximation approach. After applying the PMC, a more convergent pQCD series has been obtained, and the contributions from the unknown higher-order terms are highly suppressed. In combination with the nonperturbative high-twist contribution, our final prediction of GLS sum rule agrees well with the experimental data given by the CCFR collaboration.
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