论文标题
关于使用质子$ k_t $ -factorization结构功能和高斯$ k_t $依赖性kmr updfs的proton $ k_t $ factorization结构函数的有效性
On validity of different PDFs sets using the proton $k_t$-factorization structure functions and the Gaussian $k_t$-dependence of KMR UPDFs
论文作者
论文摘要
In this work, we discuss: (i) The ratios of different parton distribution functions (PDFs), i.e., MMHT2014, CJ15, CTEQ6l1, HERAPDF15, MSTW2008, HERAPDF20 and MSHT20, and the corresponding Kimber-Martin-Ryskin (KMR) unintegrated parton distribution functions (UPDFs) sets versus the hard scale $ q^2 $，以了解KMR UPDF对输入PDFS集的敏感性。结果表明，不同的输入PDF或相应的UPDFS集比之间没有太大差异。 （ii）然后，质子$ k_t $ -factorization结构的依赖性在不同的updfs集上功能，可以将上述PDF集作为输入。将结果与Zeus，NMC和H1+Zeus的实验数据进行了比较。 （iii）此外，通过拟合高斯功能，取决于横向动量$ k_t $，与kmr updfs及平均$ x $（分数parton动量）平均，我们获得了平均的横向动量，$ <k_t^2> $ <k_t^2>在规模范围内与$ q^2 = 2.4-1.44-1.44 \ tim $ g $ g n $ q^44 $ g ty $ g ty $ g ty $ g ev，预测，$ 0.25-0.44 $ $ $ GEV^2 $ at $ q^2 = 2.4 $ $ $ GEV^2 $。 （iv）最后，我们探索了平均横向动量，质子结构功能与KMR UPDF的结果以及Gaussian $ k_t $依赖性的结果是一致的。通过上面的报告，在每个步骤中，Parton分支（PB）UPDF，即横向动量依赖性PDF（PB TMDPDFS）用于与相应的KMR UPDFS输出进行比较。
In this work, we discuss: (i) The ratios of different parton distribution functions (PDFs), i.e., MMHT2014, CJ15, CTEQ6l1, HERAPDF15, MSTW2008, HERAPDF20 and MSHT20, and the corresponding Kimber-Martin-Ryskin (KMR) unintegrated parton distribution functions (UPDFs) sets versus the hard scale $Q^2$, to find out the sensibility of the KMR UPDFs with respect to the input PDFs sets. It is shown that there is not much difference between the different input-PDFs or corresponding UPDFs sets ratios. (ii) Then, the dependence of proton $k_t$-factorization structure functions on the different UPDFs sets which can use the above PDFs sets as input, are presented. The results are compared with the experimental data of ZEUS, NMC and H1+ZEUS at the hard scale $Q^2 =27$ and $90$ $GeV^2$, and a reasonable agreement is found, considering different input PDFs sets. (iii) Furthermore, by fitting a Gaussian function, which depends on the transverse momentum $k_t$, to the KMR UPDFs and averaging over $x$ (the fractional parton momentum), we obtain the average transverse momentum, $<k_t^2>$, in the scale range $Q^2=2.4-1.44\times10^4$ $GeV^2$, which is in agreement with the other groups predictions, $0.25-0.44$ $GeV^2$ at $Q^2=2.4$ $GeV^2$. (iv) Finally we explore the average transverse momentum for which, the results of proton structure function with the KMR UPDFs and that of the Gaussian $k_t$-dependent, are consistent to each other. Through the above report, at each step the parton branching (PB) UPDFs, i.e., the transverse momentum dependent PDFs (PB TMDPDFs) are considered for comparisons with the corresponding KMR UPDFs output.
