Search

In the paper, we analyze the properties of Gross-Llewellyn Smith (GLS) sum rule by using the O (α s 4) -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. S GLS (Q 0 2 = 3 GeV 2) | PMC = 2.559 − 0.024 + 0.023 , where the error is squared average of those from Δ α s (M Z) , the predicted O (α s 5) -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. [ABSTRACT FROM AUTHOR]