Unpolarized isovector quark distribution function from lattice QCD: A systematic analysis of renormalization and matching

Unpolarized isovector quark distribution function from lattice QCD: A systematic analysis of renormalization and matching
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晶格 QCD 的非偏振等矢量夸克分布函数:重正化和匹配的系统分析

DOI:
10.1103/physrevd.101.034020
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发表时间:
2018-07
期刊:
影响因子:
5
通讯作者:
Zhao Yong
Zhao Yong
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
Liu Yu-Sheng;Chen Jiunn-Wei;Huo Yikai;Jin Luchang;Schlemmer Maximilian;Schafer Andreas;Sun Peng;Wang Wei;Yang Yibo;Zhang Jian-Hui;Zhang Qi-An;Zhang Kuan;Zhao Yong

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我们在大动量有效理论框架下,对非极化同位旋矢量夸克部分子分布函数(PDF)进行了详细的格点量子色动力学研究。我们选取了一种由空间关联函数定义的准PDF,它不会与其他算符乘积展开(ope)发生混合 。
We present a detailed lattice QCD study of the unpolarized isovector quark parton distribution function (PDF) using a large-momentum effective theory framework. We choose a quasi-PDF defined by a spatial correlator which is free from mixing with other operators of the same dimension. In the lattice simulation, we use a Gaussian-momentum-smeared source at ${M}_{\ensuremath{\pi}}=356\text{ }\text{ }\mathrm{MeV}$ and ${P}_{z}\ensuremath{\in}{1.8,2.3}\text{ }\text{ }\mathrm{GeV}$. To control the systematics associated with the excited states, we explore five different source-sink separations. The nonperturbative renormalization is conducted in a regularization-independent momentum subtraction scheme, and the matching between the renormalized quasi-PDF and $\overline{\mathrm{MS}}$ PDF is calculated based on perturbative QCD up to one-loop order. Systematic errors due to renormalization and perturbative matching are also analyzed in detail. Our results for light-cone PDF are in reasonable agreement with the latest phenomenological analysis.
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