We check the impact of the gluon distribution due to the number of active flavor employed in the calculation of heavy-quark deep-inelastic scattering (DIS) electro-production on the reduced cross-section and structure functions determined in the leading-order (LO) and next-to-leading-order (NLO) quantum chromodynamics (QCD) analysis using the Hadron Electron Ring Accelerator (HERA) combined data. The charm and beauty structure functions are determined and compared with the HERA combined data. The results are in good agreement with respect to the experimental data. We also compare the obtained charm and bottom structure functions with the results from CTEQ6.6 (CTEQ Collaboration (Nadolsky P. M. et al.), Phys. Rev. D, 78 (2008) 013004) and NNPDF3.1 (NNPDF Collaboration (Ball R. D. et al.), Eur. Phys. J. C, 77, (2017) 663) parameterization models. The effect of gluon density on these calculations depends on the number of active flavor at asymptotical values of the momentum transfer Q ². Also, in the HERA kinematic range, the ratios and are obtained. These results and comparison with the HERA combined data demonstrate that the suggested method can be applied in the analysis of new colliders.

我们检查了由于在计算重夸克深非弹性散射 (DIS) 电生产中使用的活性味道的数量而导致的胶子分布对减少的横截面和在前导阶 (LO) 中确定的结构函数的影响) 和次先导阶 (NLO) 量子色动力学 (QCD) 分析，使用强子电子环加速器 (HERA) 组合数据。确定魅力和美丽结构函数并与HERA组合数据进行比较。结果与实验数据非常吻合。我们还将获得的魅力和底部结构函数与 CTEQ6.6 ( CTEQ Collaboration ( Nadolsky PM et al .), Phys. Rev. D , 78(2008) 013004) 和 NNPDF3.1 ( NNPDF Collaboration ( Ball RD et al .), Eur. Phys. J. C , 77 , (2017) 663) 参数化模型。胶子密度对这些计算的影响取决于在动量传递Q ^{2 的}渐近值处的活性味道的数量。此外，在 HERA 运动学范围内，获得了比率和。这些结果以及与 HERA 组合数据的比较表明，建议的方法可以应用于新对撞机的分析。