Perturbative Renormalization of quasi-PDFs

  title={Perturbative Renormalization of quasi-PDFs},
  author={Martha Constantinou and H. Panagopoulos},
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… 

Figures and Tables from this paper

Master integrals for two-loop QCD corrections to quark quasi PDFs
Abstract We compute the master integrals for the two-loop QCD corrections to quark quasi parton distribution functions (PDFs) in the large momentum effective theory (LaMET). With a proper canonical
Updated lattice results for parton distributions
We provide an analysis of the $x$ dependence of the bare unpolarized, helicity, and transversity isovector parton distribution functions (PDFs) from lattice calculations employing (maximally) twisted
Hadrons and nuclei
Abstract.In 2018, the USQCD Collaboration’s Executive Committee organized several subcommittees to recognize future opportunities and formulate possible goals for lattice field theory calculations in
T-odd generalized and quasi transverse momentum dependent parton distribution in a scalar spectator model
Generalized transverse momentum dependent parton distributions (GTMDs), as mother funtions of transverse momentum dependent parton distributions (TMDs) and generalized parton distributions (GPDs),
Nonperturbative renormalization of nonlocal quark bilinears for quasi-PDFs on the lattice using an auxiliary field
Quasi-PDFs provide a path toward an ab initio calculation of parton distribution functions (PDFs) using lattice QCD. One of the problems faced in calculations of quasi-PDFs is the renormalization of


A complete non-perturbative renormalization prescription for quasi-PDFs
Perturbative and Nonperturbative Renormalization in Lattice QCD
We investigate the perturbative and nonperturbative renormalization of composite operators in lattice QCD restricting ourselves to operators that are bilinear in the quark fields (quark-antiquark
Perturbative renormalization functions of local operators for staggered fermions with stout improvement
In this paper we present the perturbative computation of the renormalization functions for the quark field and for a complete set of ultralocal fermion bilinears. The computation of the relevant
Lattice corrections to the quark quasidistribution at one loop
We calculate radiative corrections to the quark quasidistribution in lattice perturbation theory at one loop to leading orders in the lattice spacing. We also consider one-loop corrections in
Two-loop renormalization of vector, axial-vector and tensor fermion bilinears on the lattice
We compute the two-loop renormalization functions, in the RI{sup '} scheme, of local bilinear quark operators {psi}{gamma}{psi}, where {gamma} corresponds to the vector, axial-vector, and tensor
Exploring quark transverse momentum distributions with lattice QCD
We discuss in detail a method to study transverse momentum dependent parton distribution functions (TMDs) using lattice QCD. To develop the formalism and to obtain first numerical results, we
QCD Factorization and PDFs from Lattice QCD Calculation
In this talk, we review a QCD factorization based approach to extract parton distribution and correlation functions from lattice QCD calculation of single hadron matrix elements of quark-gluon
Renormalization of Path Ordered Phase Factors and Related Hadron Operators in Gauge Field Theories
We give a review of the renormalization and short distance properties of path ordered phase factors in nonabelian gauge field theories. It includes nonlocal gauge invariant meson, baryon and gluonium