⟨x⟩ and ⟨x2⟩ of the pion PDF from lattice QCD with Nf=2+1+1 dynamical quark flavor

被引：32

作者：

Oehm, M. ^{[1
]}

Alexandrou, C. ^{[2
,3
]}

Constantinou, M. ^{[4
]}

Jansen, K. ^{[5
]}

Koutsou, G. ^{[6
]}

Kostrzewa, B. ^{[1
]}

Steffens, F. ^{[1
]}

Urbach, C. ^{[1
]}

Zafeiropoulos, S. ^{[7
]}

机构：

[1] Rheinische Friedrich Wilhelms Univ, Bonn, Germany

[2] Univ Cyprus, Nicosia, Cyprus

[3] Computat Based Sci & Technol Res Ctr, Nicosia, Cyprus

[4] Temple Univ, Philadelphia, PA 19122 USA

[5] NIC DESY Zeuthen, Zeuthen, Germany

[6] Cyprus Inst, Nicosia, Cyprus

[7] Heidelberg Univ, Heidelberg, Germany

来源：

PHYSICAL REVIEW D | 2019年 / 99卷 / 01期

基金：

美国国家科学基金会;

关键词：

DEEP-INELASTIC SCATTERING; LOOP ANOMALOUS DIMENSION; NONPERTURBATIVE RENORMALIZATION; PARTON DISTRIBUTIONS; 2ND MOMENT; C-QUARK; OPERATORS; MASSES;

D O I：

10.1103/PhysRevD.99.014508

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

Using N-f = 2 + 1 + 1 lattice QCD, we determine the fermionic connected contributions to the first and second moments of the pion parton distribution function. Based on gauge configurations from the European Twisted Mass Collaboration, chiral and continuum extrapolations are performed using pion masses in the range of 230 to 500 MeV and three values of the lattice spacing. Finite volume effects are investigated using different volumes. In order to avoid mixing under renormalization for the second moment, we use an operator with two nonzero spatial components of momentum. Momenta are injected using twisted boundary conditions. Our final values read < x >(phys)(R) = 0.2075(106) and < x(2)>(phys)(R) = 0.163(33), determined at 2 GeV in the (MS) over bar scheme and with systematic and statistical uncertainties summed in quadrature.

引用

页数：16

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