论文标题
质子结构功能的评估$ f_ {2} $和$ f_ {l} $在小$ x $上
An Evaluation of The Proton Structure Functions $F_{2}$ and $F_{L}$ at Small $x$
论文作者
论文摘要
我们通过使用Singlet Dokshitzer-Gribov-lipatov-altarelli-Parisi（dglap）和altarelli-martinelli方程来描述DIS结构功能的确定$ f_ {2} $和$ f_ {l} $。纵向结构函数的确定作为$ f_ {2}（x，q^{2}）$及其衍生物的参数化表示。 $ f_ {2}（x，x，q^{2}）$和$ f_ {l}（x，x，q^{2}）$的$σ_{r}（x，q^{2}）$的分析表达式（x，x，q^{2}）$。通过在减少的交叉部分计算中包括更高扭转的效果来丰富此分析，这在低$ x $和低$ q^{2} $区域很重要。数值计算和与H1数据的比较表明，建议的方法提供可靠的$ f_ {l}（x，x，q^{2}）$和$σ_{r}（x，x，q^{2}）$在低$ x $中（$ 1.5〜 \ Mathrm {gev}^{2} <q^{2} <120〜 \ Mathrm {gev}^{2} $）处于中等和高弹性。将方法扩展到$ x $的低和极低值，可以在新山脉的过程分析中考虑。我们比较获得的纵向结构功能相对于LHEC模拟的不确定性[CERN-ACC-NOTE-2020-0002，ARXIV：2007.14491 [HEP-EX]（2020）]与CT18 [Phys.Rev.Rev.Dephy.Rev.D {\ BF103}，014013（202213（20221）]的结果。
We describe the determination of the DIS structure functions $F_{2}$ and $F_{L}$ by using the singlet Dokshitzer-Gribov-Lipatov-Altarelli-Parisi (DGLAP) and Altarelli-Martinelli equations at small values of $x$. The determination of the longitudinal structure function is presented as a parameterization of $F_{2}(x,Q^{2})$ and its derivative. Analytical expressions for $σ_{r}(x,Q^{2})$ in terms of the effective parameters of the parameterization of $F_{2}(x,Q^{2})$ and $F_{L}(x,Q^{2})$ are presented. This analysis is enriched by including the higher-twist effects in calculation of the reduced cross sections which is important at low-$x$ and low-$Q^{2}$ regions. Numerical calculations and comparison with H1 data demonstrate that the suggested method provides reliable $F_{L}(x,Q^{2})$ and $σ_{r}(x,Q^{2})$ at low $x$ in a wide range of the low absolute four-momentum transfers squared ($1.5~\mathrm{GeV}^{2}<Q^{2}<120~\mathrm{GeV}^{2}$) at moderate and high inelasticity. Expanding the method to low and ultra low values of $x$ can be considered in the process analysis of new colliders. We compare the obtained longitudinal structure function with respect to the LHeC simulated uncertainties [CERN-ACC-Note-2020-0002, arXiv:2007.14491 [hep-ex] (2020)] with the results from CT18 [Phys.Rev.D{\bf103}, 014013(2021)] parametrization model.
