Lattice continuum-limit study of nucleon parton quasidistribution functions

被引：34

作者：

Alexandrou, Constantia ^{[1
,2
]}

Cichy, Krzysztof ^{[3
]}

Constantinou, Martha ^{[4
]}

Green, Jeremy R. ^{[5
]}

Hadjiyiannakou, Kyriakos ^{[1
,2
]}

Jansen, Karl ^{[6
]}

Manigrasso, Floriano ^{[1
,7
,8
]}

Scapellato, Aurora ^{[3
]}

Steffens, Fernanda ^{[9
]}

机构：

[1] Univ Cyprus, Dept Phys, POB 20537, CY-1678 Nicosia, Cyprus

[2] Cyprus Inst, Computat Based Sci & Technol Res Ctr, 20 Kavafi St, CY-2121 Nicosia, Cyprus

[3] Adam Mickiewicz Univ, Fac Phys, Uniwersytetu Poznanskiego 2, PL-61614 Poznan, Poland

[4] Temple Univ, 1925 N 12th St, Philadelphia, PA 19122 USA

[5] CERN, Theoret Phys Dept, CH-1211 Geneva 23, Switzerland

[6] NIC, Deutsch Elektronen Synchrotron, D-15738 Zeuthen, Germany

[7] Humboldt Univ, Inst Phys, Newtonstr 15, D-12489 Berlin, Germany

[8] Univ Roma Tor Vergata, Dipartimento Fis, Via Ric Sci 1, I-00133 Rome, Italy

[9] Univ Bonn, Inst Strahlen & Kernphys, Nussallee 14-16, D-53115 Bonn, Germany

来源：

PHYSICAL REVIEW D | 2021年 / 103卷 / 09期

关键词：

NONPERTURBATIVE RENORMALIZATION; DISTRIBUTIONS; QCD; DEPENDENCE; OPERATORS; MASSES;

D O I：

10.1103/PhysRevD.103.094512

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

The parton quasidistribution functions approach provides a path to computing parton distribution functions (PDFs) using lattice QCD. This approach requires matrix elements of a power-divergent operator in a nucleon at high momentum and one generically expects discretization effects starting at first order in the lattice spacing a. Therefore, it is important to demonstrate that the continuum limit can be reliably taken and to understand the size and shape of lattice artifacts. In this work, we report a calculation of isovector unpolarized and helicity PDFs using lattice ensembles with N-f = 2 + 1 + 1Wilson twisted mass fermions, a pion mass of approximately 370 MeV, and three different lattice spacings. Our results show a significant dependence on a, and the continuum extrapolation produces a better agreement with phenomenology. The latter is particularly true for the antiquark distribution at small momentum fraction x, where the extrapolation changes its sign.

引用

页数：21

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[51] On the Casimir scaling violation in the cusp anomalous dimension at small angle [J].