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arXiv 1711.03377hep-phhep-lat
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由横动量分布计算质子和π介子的部分子准分布

Partonic quasi-distributions of the proton and pion from transverse-momentum distributions

Wojciech Broniowski, Enrique Ruiz Arriola

摘要:

Radyushkin已经发现Ji的部分子准分布函数(QDF)与横向动量分布(TMD),赝分布和Ioffe时间分布(ITDs)直接相关。这使得QDF结果在有限的强子纵向动量有趣的在自己的权利。此外,QDF-TMD关系提供了一个网关的相关QCD演化,相对于分辨率尺度Q,为QDFs。利用Kwiecibrski演化方程和较好的参数化方法,在低初始尺度下,我们分析了质子和π介子的夸克和胶子QDF分量的QCD演化。我们讨论了由此产生的破坏的横向因子分解,并表明,它对QDF的影响很小,在相对较低的尺度上目前可访问的晶格,但效果是可见的,在减少ITDs在足够大的值的Ioffe时间。求和规则涉及ITD的导数和部分子分布函数(PDF)的时刻被应用到ETMC晶格数据。这使我们能够从QDF研究中确定TMD的横向动量宽度。

英文摘要:

The parton quasi-distribution functions (QDFs) of Ji have been found by Radyushkin to be directly related to the transverse momentum distributions (TMDs), to the pseudo-distributions, and to the Ioffe-time distributions (ITDs). This makes the QDF results at finite longitudinal momentum of the hadron interesting in their own right. Moreover, the QDF-TMD relation provides a gateway to the pertinent QCD evolution, with respect to the resolution scale Q, for the QDFs. Using the Kwieciński evolution equations and well established parameterizations at a low initial scale, we analyze the QCD evolution of quark and gluon QDF components of the proton and the pion. We discuss the resulting breaking of the longitudinal-transverse factorization and show that it has little impact on QDFs at the relatively low scales presently accessible on the lattice, but the effect is visible in reduced ITDs at sufficiently large values of the Ioffe time. Sum rules involving derivatives of ITDs and moments of the parton distribution functions (PDFs) are applied to the ETMC lattice data. This allows us for a lattice determination of the transverse-momentum width of the TMDs from QDF studies.

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