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

机译:来自横向动量分布的质子和π介质的局部Quasidifiges

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The parton quasidistribution functions (QDFs) of Ji have been found by Radyushkin to be directly related to the transverse momentum distributions (TMDs), to the pseudodistributions, 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 parametrizations 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 European Twisted Mass Collaboration lattice data. This allows us for a lattice determination of the transverse-momentum width of the TMDs from QDF studies.
机译:Radyushkin发现了JI的Parton Quasifistribution函数(QDFS),与横向分布的横向动量分布(TMDS)直接相关,并向互惠时间分发(ITD)。这使得QDF在自己的权利中有限纵向动力。此外,QDF-TMD关系为QDF的分辨率Q提供了与相关QCD演进的网关。使用Kwieciński演化方程和良好的初始刻度良好的参数化,我们分析了质子和磁线的QCD和Gluon QDF组件的QCD演变。我们讨论了纵向横向分解的突破,并表明它对晶格目前可访问的相对低尺度对QDF的影响几乎没有影响,但在IOFFE时间的足够大的值下,效果可见。涉及ITDS衍生物的总和规则和Parton分发功能(PDF)的矩的矩数适用于欧洲扭曲的批量协作晶格数据。这允许我们从QDF研究中获得TMDS横向动量宽度的晶格测定。

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