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Related papers: Parton Distribution Function with Non-perturbative…

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In our recent work [1] on lattice QCD calculation of the baryon leading-twist LCDAs within the framework of LaMET, a novel hybrid renormalization scheme is implemented for octet baryon quasi-DAs, yielding reliable results across both…

High Energy Physics - Lattice · Physics 2026-05-15 Mu-Hua Zhang

We present a new method to calculate moments of parton distribution functions of any order with lattice QCD computations. This method leverages the gradient flow for fermion and gauge fields. The flowed matrix elements of twist-2 operators…

High Energy Physics - Lattice · Physics 2024-10-02 Andrea Shindler

In this work we continue our effort to explore a recent proposal, which allows light-cone distributions to be extracted from purely spatial correlations, being thus accessible to lattice methods. In order to test the feasibility of this…

We study $\rho$ meson unpolarized generalized parton distributions based on a light-front constituent quark model where the quark-antiquark-meson vertex is constructed under the symmetric loop momentum convention. The form factors and some…

High Energy Physics - Phenomenology · Physics 2017-09-06 Bao-Dong Sun , Yu-Bing Dong

We present the first calculation of the $x$-dependence of the proton generalized parton distributions (GPDs) within lattice QCD. Results are obtained for the isovector unpolarized and helicity GPDs. We compute the appropriate matrix…

A completely new strategy to calculate parton distribution functions on the lattice has recently been proposed. In this method, lattice calculable observables, called quasi distributions, are related to normal distributions. The quasi…

High Energy Physics - Lattice · Physics 2016-09-08 Tomomi Ishikawa , Yan-Qing Ma , Jian-Wei Qiu , Shinsuke Yoshida

We present a lattice-QCD calculation of the pion, kaon and $\eta_s$ distribution amplitudes using large-momentum effective theory (LaMET). Our calculation is carried out using three ensembles with 2+1+1 flavors of highly improved staggered…

High Energy Physics - Lattice · Physics 2020-12-30 Rui Zhang , Carson Honkala , Huey-Wen Lin , Jiunn-Wei Chen

We extend the formalism of asymmetric frames of reference for generalized parton distributions (GPDs) to the case of nonzero skewness, i.e., including longitudinal momentum transfer. The framework, based on Lorentz-invariant amplitudes and…

A general non-perturbative analysis of the renormalization properties of $\Delta I=3/2$ four-fermion operators in the framework of lattice regularization with Wilson fermions is presented. We discuss the non-perturbative determination of…

High Energy Physics - Lattice · Physics 2011-09-13 A. Donini , V. Giménez , G. Martinelli , M. Talevi , A. Vladikas

We determine the second Mellin moment of the isovector quark parton distribution function <x>_{u-d} from lattice QCD with N_f=2 sea quark flavours, employing the non-perturbatively improved Wilson-Sheikholeslami-Wohlert action at a…

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…

We propose a physically motivated parametrization for the unpolarized generalized parton distributions, H and E, valid at both zero and non-zero values of the skewness variable, \zeta. Our approach follows a previous detailed study of the…

High Energy Physics - Phenomenology · Physics 2009-09-28 Saeed Ahmad , Heli Honkanen , Simonetta Liuti , Swadhin K. Taneja

The quark generalised parton distributions of the pion are calculated from lightcone wavefunctions in transverse lattice gauge theory at large N_c. The pion effective size is found to decrease with increasing momentum transfer. An analytic…

High Energy Physics - Phenomenology · Physics 2009-11-10 S. Dalley

We present a novel strategy to renormalize lattice operators in QCD+QED, including first order QED corrections to the non-perturbative evaluation of QCD renormalization constants. Our procedure takes systematically into account the mixed…

High Energy Physics - Lattice · Physics 2019-11-05 M. Di Carlo , G. Martinelli , D. Giusti , V. Lubicz , C. T. Sachrajda , F. Sanfilippo , S. Simula , N. Tantalo

In recent years, there has been a breakthrough in lattice calculations of $x$-dependent partonic distributions. This encompasses also distributions describing the 3D structure of the nucleon, such as generalized parton distributions (GPDs).…

Quasi-parton distribution functions have received a lot of attentions in both perturbative QCD and lattice QCD communities in recent years because they not only carry good information on the parton distribution functions, but also could be…

High Energy Physics - Phenomenology · Physics 2017-11-23 Tomomi Ishikawa , Yan-Qing Ma , Jian-Wei Qiu , Shinsuke Yoshida

We present a systematic study of the nucleon gluon parton distribution function (PDF) using the self-renormalized large-momentum effective theory (LaMET) approach in lattice QCD. This work extends previous gluon-PDF extractions by…

High Energy Physics - Lattice · Physics 2025-12-11 Alex NieMiera , William Good , Huey-Wen Lin , Fei Yao

The calculation of generalized parton distributions (GPDs) in lattice QCD was traditionally done by calculating matrix elements in the symmetric frame. Recent advancements have significantly reduced computational costs by calculating these…

Hadronic matrix elements evaluated on the lattice can be converted to a continuum scheme such as $\MSbar$ using intermediate non-perturbative renormalisation schemes. Discretisation effects on the lattice and convergence of the continuum…

High Energy Physics - Lattice · Physics 2023-08-02 N Garron , C Cahill , M Gorbahn , JA Gracey , PEL Rakow

We present a high-statistics lattice QCD determination of the valence parton distribution function (PDF) of the pion, with a mass of 300 MeV, using two very fine lattice spacings of $a=0.06$ fm and 0.04 fm. We reconstruct the $x$-dependent…