Perturbative renormalization of quasi-parton distribution functions
TLDR
In this paper, the renormalization of gauge invariant nonlocal fermion operators which contain a Wilson line, to one-loop level in lattice perturbation theory is presented.Abstract:
In this paper we present results for the renormalization of gauge invariant nonlocal fermion operators which contain a Wilson line, to one-loop level in lattice perturbation theory Our calculations have been performed for Wilson/clover fermions and a wide class of Symanzik improved gluon actions The extended nature of such ``long-link'' operators results in a nontrivial renormalization, including contributions which diverge linearly as well as logarithmically with the lattice spacing, along with additional finite factors On the lattice there is also mixing among certain subsets of these nonlocal operators; we calculate the corresponding finite mixing coefficients, which are necessary in order to disentangle individual matrix elements for each operator from lattice simulation data Finally, extending our perturbative setup, we present nonperturbative prescriptions to extract the linearly divergent contributionsread more
Citations
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The renormalization of the axial anomaly in dimensional regularization
TL;DR: In this article, the prescription for the γ5 matrix within dimensional regularization in multiloop calculations is elaborated and the three-loop anomalous dimension of the singlet axial current is calculated.
Journal ArticleDOI
Exploring Partonic Structure of Hadrons Using ab initio Lattice QCD Calculations
Yan-Qing Ma,Jian-Wei Qiu +1 more
TL;DR: A class of good "lattice cross sections" (LCSs) are constructed, from which the partonic structure of hadrons from ab initio lattice QCD calculations can be studied and factorized into parton distribution functions (PDFs) with calculable coefficients, in the same way as QCD factorization for factorizable hadronic cross sections.
Journal ArticleDOI
A complete non-perturbative renormalization prescription for quasi-PDFs
Constantia Alexandrou,Constantia Alexandrou,Krzysztof Cichy,Krzysztof Cichy,Martha Constantinou,Kyriakos Hadjiyiannakou,Karl Jansen,Haralambos Panagopoulos,Fernanda Steffens +8 more
TL;DR: In this article, for the first time, the non-perturbative renormalization for unpolarized, helicity and transversity quasi-PDFs in an RI-scheme was presented.
Journal ArticleDOI
Parton distributions and lattice QCD calculations: a community white paper
Huey-Wen Lin,Emanuele R. Nocera,Fred Olness,Kostas Orginos,Kostas Orginos,Juan Rojo,Alberto Accardi,Alberto Accardi,Constantia Alexandrou,Constantia Alexandrou,Alessandro Bacchetta,Giuseppe Bozzi,Jiunn-Wei Chen,Sara Collins,Amanda Cooper-Sarkar,Martha Constantinou,Luigi Del Debbio,Michael Engelhardt,Jeremy Green,Rajan Gupta,Lucian Harland-Lang,Lucian Harland-Lang,Tomomi Ishikawa,Aleksander Kusina,K. F. Liu,Simonetta Liuti,Christopher Monahan,Pavel Nadolsky,Jian-Wei Qiu,Ingo Schienbein,Gerrit Schierholz,Robert S. Thorne,Werner Vogelsang,Hartmut Wittig,C.-P. Yuan,James Zanotti +35 more
TL;DR: In this article, the authors present an overview of lattice-QCD and global-analysis techniques used to determine unpolarized and polarized proton PDFs and their moments.
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Light-Cone Parton Distribution Functions from Lattice QCD.
Constantia Alexandrou,Constantia Alexandrou,Krzysztof Cichy,Martha Constantinou,Karl Jansen,Aurora Scapellato,Aurora Scapellato,Fernanda Steffens +7 more
TL;DR: This first direct nonperturbative evaluation opens a most promising path to compute PDFs in an ab initio way on the lattice and provides a framework for investigating also a wider class of similar quantities, which require the evaluation of hadronic matrix elements of nonlocal operators.
References
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Journal ArticleDOI
Improved continuum limit lattice action for QCD with wilson fermions
B. Sheikholeslami,R. Wohlert +1 more
TL;DR: In this paper, two possible ways of extending Symanzik's improvement programme to lattice fermions namely improvement to first and second order in the lattice sppacing a are discussed.
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Xiangdong Ji,Xiangdong Ji +1 more
TL;DR: It is shown that the parton physics related to correlations of quarks and gluons on the light cone can be studied through the matrix elements of frame-dependent, equal-time correlators in the large momentum limit.
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The three-loop QCD β-function and anomalous dimensions
S.A. Larin,Jos Vermaseren +1 more
TL;DR: In this paper, Tarasov et al. presented an analytic calculation of the three-loop QCD β-function and anomalous dimensions within the minimal subtraction scheme in an arbitrary covariant gauge.
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The three-loop QCD $\beta$-function and anomalous dimensions
S. A. Larin,Jos Vermaseren +1 more
TL;DR: In this article, an analytic calculation of the three-loop QCD $\beta$-function and anomalous dimensions within the minimal subtraction scheme in an arbitrary covariant guage is presented.
Journal ArticleDOI
The Renormalization of the axial anomaly in dimensional regularization
TL;DR: In this article, the prescription for the γ5 matrix within dimensional regularization in multiloop calculations is elaborated and the three-loop anomalous dimension of the singlet axial current is calculated.