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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 nonlocal operator. By introducing an…

高能物理 - 格点 · 物理学 2018-07-18 Jeremy Green , Karl Jansen , Fernanda Steffens

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…

高能物理 - 格点 · 物理学 2018-10-03 Martha Constantinou , Haralambos Panagopoulos

We discuss the current developments by the European Twisted Mass Collaboration in extracting parton distribution functions from the quasi-PDF approach. We concentrate on the non-perturbative renormalization prescription recently developed…

We present preliminary numerical results on the connected piece of the quasi-PDF of pion as determined using Wilson-Clover valence fermions on HISQ ensembles. We discuss its non-perturbative renormalization in RI/MOM scheme with and without…

We present one-loop perturbative results of the renormalization functions for a complete set of nonlocal quark bilinear operators containing an asymmetric staple-shaped Wilson line, using a family of improved lattice actions. This study is…

高能物理 - 格点 · 物理学 2023-12-01 Gregoris Spanoudes , Martha Constantinou , Haralambos Panagopoulos

To calculate the transverse-momentum-dependent parton distribution functions (TMDPDFs) from lattice QCD, an important goal yet to be realized, it is crucial to establish a viable non-perturbative renormalization approach for linear…

高能物理 - 格点 · 物理学 2022-08-31 Kuan Zhang , Xiangdong Ji , Yi-Bo Yang , Fei Yao , Jian-Hui Zhang

In applying large-momentum effective theory, renormalization of the Euclidean correlators in lattice regularization is a challenge due to linear divergences in the self-energy of Wilson lines. Based on lattice QCD matrix elements of the…

Extracting parton distribution functions (PDFs) from lattice QCD calculation of quasi-PDFs has been actively pursued in recent years. We extend our proof of the multiplicative renormalizability of quasi-quark operators in Ref. [1] to…

高能物理 - 唯象学 · 物理学 2019-02-20 Zheng-Yang Li , Yan-Qing Ma , Jian-Wei Qiu

In this paper we present an improved RI-type prescription appropriate for the non-perturbative renormalization of gauge invariant nonlocal operators. In this prescription, the non-perturbative vertex function is improved by subtracting…

高能物理 - 格点 · 物理学 2023-01-18 Martha Constantinou , Haralambos Panagopoulos

We present a detailed Lattice QCD study of the unpolarized isovector quark Parton Distribution Function (PDF) using large-momentum effective theory framework. We choose a quasi-PDF defined by a spatial correlator which is free from mixing…

In this work, we study the renormalization of nonlocal quark bilinear operators containing an asymmetric staple-shaped Wilson line at the one-loop level in both lattice and continuum perturbation theory. These operators enter the…

高能物理 - 格点 · 物理学 2024-06-10 Gregoris Spanoudes , Martha Constantinou , Haralambos Panagopoulos

We present perturbative and non-perturbative results on the renormalization constants of the local and one-derivative vector and axial vector operators. Non-perturbative results are obtained using the twistedmassWilson fermion formulation…

高能物理 - 格点 · 物理学 2010-12-15 C. Alexandrou , M. Constantinou , T. Korzec , H. Panagopoulos , F. Stylianou

We show the first results for parton distribution functions within the proton at the physical pion mass, employing the method of quasi-distributions. In particular, we present the matrix elements for the iso-vector combination of the…

Perturbative and non-perturbative results on the renormalization constants of the fermion field and the twist-2 fermion bilinears are presented with emphasis on the non-perturbative evaluation of the one-derivative twist-2 vector and axial…

高能物理 - 格点 · 物理学 2011-04-01 C. Alexandrou , M. Constantinou , T. Korzec , H. Panagopoulos , F. Stylianou

Even since the "quasi" parton distribution function (PDF) was proposed under the large-momentum effective theory (LaMET) framework, its renormalization under the lattice regularization has been a central challenge to be solved due to the…

高能物理 - 格点 · 物理学 2019-12-17 Yikai Huo , Peng Sun

We analyze the lattice spacing dependence for the pion unpolarized matrix element of a quark bilinear operator with Wilson link (quasi-PDF operator) in the rest frame, using 13 lattice spacings ranging from 0.032 fm to 0.121 fm. We compare…

高能物理 - 格点 · 物理学 2021-10-13 Kuan Zhang , Yuan-Yuan Li , Yi-Kai Huo , Andreas Schäfer , Peng Sun , Yi-Bo Yang

We present a detailed study of the helicity-dependent and helicity-independent collinear parton distribution functions (PDFs) of the nucleon, using the quasi-PDF approach. The lattice QCD computation is performed employing twisted mass…

Quark bilinear operators with staple-shaped Wilson lines are used to study transverse-momentum-dependent parton distribution functions (TMDPDFs) from lattice quantum chromodynamics (QCD). Here, the renormalization factors for the isovector…

高能物理 - 格点 · 物理学 2020-04-15 Phiala Shanahan , Michael L. Wagman , Yong Zhao

Perturbative and non-perturbative results are presented on the renormalization constants of the quark field and the vector, axial-vector, pseudoscalar, scalar and tensor currents. The perturbative computation, carried out at one-loop level…

高能物理 - 格点 · 物理学 2013-05-30 C. Alexandrou , M. Constantinou , T. Korzec , H. Panagopoulos , F. Stylianou

We discuss the physical nature of quasi-PDFs, especially the reasons for the strong nonperturbative evolution pattern which they reveal in actual lattice gauge calculations. We argue that quasi-PDFs may be treated as hybrids of PDFs and the…

高能物理 - 唯象学 · 物理学 2017-11-17 Anatoly Radyushkin
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