论文标题

使用晶格QCD的扭曲质量公式用于质子的Gluon PDF

Gluon PDF for the proton using the twisted mass formulation of lattice QCD

论文作者

Delmar, Joseph, Alexandrou, Constantia, Cichy, Krzysztof, Constantinou, Martha, Hadjiyiannakou, Kyriakos

论文摘要

我们介绍了质子的非偏振Gluon PDF的X依赖性结果。我们使用$ n_f = 2+1+1 $最大扭曲的质量费米子合奏,并改善了三叶草,而Iwasaki改进了Gluon动作。夸克群体进行了调整,因此斜质量为260 meV。我们使用$ 32^3 \ times64 $晶格尺寸,带有晶格间距$ a = 0.093 $ fm,空间范围为3 fm。我们采用伪分发方法,并获得将核子动量数据组合数据的轻锥时间分布(ITD)提高到1.67 GEV和威尔逊线长度,$ Z $,最高为0.56 FM。我们探讨了系统的效果,例如对$ z $的最大值的依赖性输入拟合以获取Gluon PDF。

We present results of the x-dependence of the unpolarized gluon PDF for the proton. We use an $N_f=2+1+1$ ensemble of maximally twisted mass fermions with clover improvement and the Iwasaki improved gluon action. The quark masses are tuned so that the pion mass is 260 MeV. We use a $32^3\times64$ lattice size with a lattice spacing $a=0.093$ fm giving a spatial extent of 3 fm. We employ the pseudo-distribution approach and obtain the light-cone Ioffe time distribution (ITD) combining data for nucleon momentum boosts up to 1.67 GeV and Wilson line lengths, $z$, up to 0.56 fm. We explore systematic effects such as the dependence on the maximum value of $z$ entering the fits to obtain the gluon PDF.

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