论文标题
非线性校正到单个微分横截面，用于NLO近似处的中性电流E-P散射
Nonlinear corrections to the single differential cross section for neutral current e-p scattering at the NLO approximation
论文作者
论文摘要
我们介绍了非线性校正对单个差分截面Dσ/DQ^2的影响，以及在领先顺序（LO）和接下来的范围（NLO）和近代识别顺序（NLO）近似近似量子（nlo）近似值的中性电流（NC）E-P散射的截面截面σ_R（X，Q^2）的效果。从技术上讲，基于双拉链变换方法，我们首先得出了非线性校正对质子结构函数F2（x，q^2）和fl（x，q^2）的影响，因此获得了相应的单个差异和还原的交叉部分。我们的结果清楚地表明，在低x值下，夸克和Gluon分布的非线性行为的一致性。我们的数值结果（在虚拟性8.5 <q2 <5000 GeV ^2和Bjorken量表10 ^（-5）<x <1）表明，这些非线性校正对质子结构函数的影响在x <0.001时更明显，并且在某种程度上更为明显，在某种程度上，在某种程度上控制了这些功能在低x值下的增量趋势。此外，比较我们在NLO近似值下单个差分和减少的横截面的数值结果与H1协作数据的数值结果表明，非线性校正会增加计算的准确性，而不是低x值的低至中度q^2值的线性计算。
We present the effects of nonlinear corrections to the single differential cross section dσ/dQ^2 and the reduced cross section σ_r (x,Q^2) for the neutral current (NC) e-p scattering at the leading order (LO) and the next-to-leading order (NLO) approximations in perturbative quantum chromo dynamics (QCD). Technically, based on the double Laplace transform method, we first derive the effects of the nonlinear corrections to the proton structure functions F2(x,Q^2) and FL(x,Q^2) and consequently obtain the corresponding single differential and reduced cross sections. Our results clearly indicate the consistency of the nonlinear behavior of the quark and gluon distributions at low x values. Our numerical results ( obtained in a range of the virtuality 8.5 < Q2 < 5000 GeV ^2 and the Bjorken scale 10^(-5)< x < 1) show that the effects of these nonlinear corrections to the proton structure functions are more noticeable at x < 0.001 and, to some extent, control the incremental trend of these functions at low x values. Moreover, a comparison of our numerical results of the single differential and reduced cross sections at the NLO approximations with those of H1 collaboration data shows that the nonlinear corrections increase the accuracy of calculations rather than the linear calculations at low to moderate Q^2 values for low x values.
