Moments of parton distribution functions of any order from lattice QCD

被引：4
作者：
Shindler, Andrea [1 ,2 ,3 ]
机构：
[1] Rhein Westfal TH Aachen, Inst Theoret Particle Phys & Cosmol, TTK, Aachen, Germany
[2] Lawrence Berkeley Natl Lab, Nucl Sci Div, Berkeley, CA 94720 USA
[3] Univ Calif Berkeley, Dept Phys, Berkeley, CA 94720 USA
来源：
PHYSICAL REVIEW D | 2024年 / 110卷 / 05期
基金：
美国国家科学基金会;
关键词：
DEEP-INELASTIC-SCATTERING; 2ND MOMENT; OPERATORS; EVOLUTION;
D O I：
10.1103/PhysRevD.110.L051503
中图分类号：
P1 [天文学];
学科分类号：
0704 ;
摘要：
We describe a procedure to determine moments of parton distribution functions of any order in lattice quantum chromodynamics (QCD). The procedure is based on the gradient flow for fermion and gauge fields. The flowed matrix elements of twist-2 operators renormalize multiplicatively, and the matching with the physical matrix elements can be obtained using continuum symmetries and the irreducible representations of Euclidean 4-dimensional rotations. We calculate the matching coefficients at one-loop in perturbation theory for moments of any order in the flavor nonsinglet case. We also give specific examples of operators that could be used in lattice QCD computations. It turns out that it is possible to choose operators with identical Lorentz indices and still have a multiplicative matching. One can thus use twist-2 operators exclusively with temporal indices, thus substantially improving the signal-to-noise ratio in the computation of the hadronic matrix elements.
引用
收藏
页数：7
相关论文
共 51 条
[1]   Model independent determination of the shape function for inclusive b decays and of the structure functions in DIS [J].
Aglietti, U ;
Ciuchini, M ;
Corbo, G ;
Franco, E ;
Martinelli, G ;
Silvestrini, L .
PHYSICS LETTERS B, 1998, 432 (3-4) :411-420
[2]   ASYMPTOTIC FREEDOM IN PARTON LANGUAGE [J].
ALTARELLI, G ;
PARISI, G .
NUCLEAR PHYSICS B, 1977, 126 (02) :298-318
[3]   Results and techniques for higher order calculations within the gradient-flow formalism [J].
Artz, Johannes ;
Harlander, Robert V. ;
Lange, Fabian ;
Neumann, Tobias ;
Prausa, Mario .
JOURNAL OF HIGH ENERGY PHYSICS, 2019, 2019 (06)
[4]   Second moment of the pion distribution amplitude with the momentum smearing technique [J].
Bali, G. S. ;
Braun, V. M. ;
Goeckeler, M. ;
Gruber, M. ;
Hutzler, F. ;
Korcyl, P. ;
Lang, B. ;
Schaefer, A. .
PHYSICS LETTERS B, 2017, 774 :91-97
[5]   Light-cone distribution amplitudes of pseudoscalar mesons from lattice QCD [J].
Bali, Gunnar S. ;
Braun, Vladimir M. ;
Buerger, Simon ;
Goeckeler, Meinulf ;
Gruber, Michael ;
Hutzler, Fabian ;
Korcyl, Piotr ;
Schaefer, Andreas ;
Sternbeck, Andre ;
Wein, Philipp .
JOURNAL OF HIGH ENERGY PHYSICS, 2019, 2019 (08)
[6]   DEEP-INELASTIC SCATTERING IN IMPROVED LATTICE QCD .2. THE 2ND MOMENT OF STRUCTURE FUNCTIONS [J].
BECCARINI, G ;
BIANCHI, M ;
CAPITANI, S ;
ROSSI, G .
NUCLEAR PHYSICS B, 1995, 456 (1-2) :271-295
[7]   Exclusive processes in position space and the pion distribution amplitude [J].
Braun, V. M. ;
Mueller, D. .
EUROPEAN PHYSICAL JOURNAL C, 2008, 55 (03) :349-361
[8]   Renormalisation and off-shell improvement in lattice perturbation theory [J].
Capitani, S ;
Göckeler, M ;
Horsley, R ;
Perlt, H ;
Rakow, PEL ;
Schierholz, G ;
Schiller, A .
NUCLEAR PHYSICS B, 2001, 593 (1-2) :183-228
[9]   Nucleon Structure Functions from Operator Product Expansion on the Lattice [J].
Chambers, A. J. ;
Horsley, R. ;
Nakamura, Y. ;
Perlt, H. ;
Rakow, P. E. L. ;
Schierholz, G. ;
Schiller, A. ;
Somfleth, K. ;
Young, R. D. ;
Zanotti, J. M. .
PHYSICAL REVIEW LETTERS, 2017, 118 (24)
[10]  
Collins J.C., 1989, ADV SER DIRECT HIGH, V5, P1, DOI [10.1142/9789814503266_0001, 10.1142/97898145032660001, DOI 10.1142/97898145032660001]
123456