Moments of nucleon unpolarized, polarized, and transversity parton distribution functions from lattice QCD at the physical point

被引：2

作者：

Rodekamp, Marcel ^{[1
,2
,3
,4
]}

Engelhardt, Michael ^{[5
]}

Green, Jeremy R. ^{[6
]}

Krieg, Stefan ^{[1
,2
,3
,4
]}

Liuti, Simonetta ^{[7
]}

Meinel, Stefan ^{[8
]}

Negele, John W. ^{[9
]}

Pochinsky, Andrew ^{[9
]}

Syritsyn, Sergey ^{[10
,11
]}

机构：

[1] Forschungszentrum Julich, Julich Supercomp Ctr, D-52428 Julich, Germany

[2] Forschungszentrum Julich, Inst Adv Simulat, D-52428 Julich, Germany

[3] Forschungszentrum Julich, Ctr Adv Simulat & Analyt CASA, D-52428 Julich, Germany

[4] Rhein Friedrich Wilhelms Univ Bonn, Helmholtz Inst Strahlen & Kernphys, D-53115 Bonn, Germany

[5] New Mexico State Univ, Dept Phys, Las Cruces, NM 88003 USA

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

[7] Univ Virginia, Dept Phys, Charlottesville, VA 22904 USA

[8] Univ Arizona, Dept Phys, Tucson, AZ 85721 USA

[9] MIT, Ctr Theoret Phys, Cambridge, MA 02139 USA

[10] SUNY Stony Brook, Dept Phys & Astron, Stony Brook, NY 11794 USA

[11] Brookhaven Natl Lab, BNL Res Ctr, RIKEN, Upton, NY 11973 USA

来源：

PHYSICAL REVIEW D | 2024年 / 109卷 / 07期

基金：

美国国家科学基金会;

关键词：

LOOP ANOMALOUS DIMENSION; NONPERTURBATIVE RENORMALIZATION; 2ND MOMENT; OPERATORS;

D O I：

10.1103/PhysRevD.109.074508

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

The second Mellin moments ( x ) of the nucleon 's unpolarized, polarized, and transversity parton distribution functions are computed. Two lattice QCD ensembles at the physical pion mass are used: these were generated using a tree -level Symanzik-improved gauge action and 2 & thorn; 1 flavor tree -level improved Wilson Clover fermions coupling via 2 -level HEX -smearing. The moments are extracted from forward matrix elements of local leading twist operators. We determine renomalization factors in RI-(S)MOM and match to MS at scale 2 GeV. Our findings show that operators that exhibit vanishing kinematics at zero momentum can have significantly reduced excited -state contamination. The resulting polarized moment is used to quantify the longitudinal contribution to the quark spin -orbit correlation. All our results agree within two sigma with previous lattice results.

引用

页数：20

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