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We present the first direct lattice-QCD calculation of the Bjorken-$x$ dependence of the valence quark distribution of the pion. Using large-momentum effective theory (LaMET), we calculate the boosted pion state with long Wilson link…

High Energy Physics - Lattice · Physics 2019-08-14 Jian-Hui Zhang , Jiunn-Wei Chen , Luchang Jin , Huey-Wen Lin , Andreas Schäfer , Yong Zhao

We study the generalized parton distributions (GPDs) of pion for non-zero skewness by considering the leading $| q \bar{q} \rangle$ Fock state component. Inspired from AdS/QCD light-front wave functions, we calculate the pion GPDs. By…

High Energy Physics - Phenomenology · Physics 2018-07-10 Navdeep Kaur , Narinder Kumar , Chandan Mondal , Harleen Dahiya

Results from a recent analysis of the zero-skewness generalized parton distributions (GPDs) for valence quarks are discussed. The analysis bases on a physically motivated parameterization of the GPDs with a few free parameters adjusted to…

High Energy Physics - Phenomenology · Physics 2025-01-22 P. Kroll

We perform a global QCD analysis of the pion electromagnetic form factor (FF) data from pion electroproduction and elastic pion scattering to extract the valence pion generalized parton distributions (GPDs) at zero skewness. The analysis…

High Energy Physics - Phenomenology · Physics 2025-12-30 The MMGPDs Collaboration , Muhammad Goharipour , M. H. Amiri , Fatemeh Irani , Hadi Hashamipour , K. Azizi

We present a determination of the structure functions of the off-forward Compton amplitude $\mathcal{H}_1$ and $\mathcal{E}_1$ from the Feynman-Hellmann method in lattice QCD. At leading twist, these structure functions give access to the…

High Energy Physics - Lattice · Physics 2024-07-11 A. Hannaford-Gunn , K. U. Can , J. A. Crawford , R. Horsley , P. E. L. Rakow , G. Schierholz , H. Stüben , R. D. Young , J. M. Zanotti

We present the first global analysis of generalized parton distributions (GPDs) combing lattice quantum chromodynamics (QCD) calculations and experiment measurements including global parton distribution functions (PDFs), form factors (FFs)…

High Energy Physics - Phenomenology · Physics 2023-06-13 Yuxun Guo , Xiangdong Ji , M. Gabriel Santiago , Kyle Shiells , Jinghong Yang

Generalized parton distributions (GPDs) are key quantities for the description of a hadron's three-dimensional structure. They are the current focus of all areas of hadronic physics -- phenomenological, experimental, and theoretical,…

High Energy Physics - Lattice · Physics 2024-09-05 Shohini Bhattacharya , Krzysztof Cichy , Martha Constantinou , Andreas Metz , Niilo Nurminen , Fernanda Steffens

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…

We report on our exploratory study for the direct evaluation of the parton distribution functions from lattice QCD, based on a recently proposed new approach. We present encouraging results using Nf = 2 + 1 + 1 twisted mass fermions with a…

Understanding the intricate three-dimensional internal structure of the nucleon has been a long-standing challenge. The main quantitative tool to map out this structure are the generalized parton distributions (GPDs). In these proceedings,…

In this paper, we systematically study the generalized parton distributions (GPDs) of the pion Goldstone Boson at zero skewness ($\xi =0$) in the framework of the covariant Nambu--Jona-Lasinio model with the help of the proper time…

High Energy Physics - Phenomenology · Physics 2025-12-01 Fernando Chandra , Parada T. P. Hutauruk , Terry Mart

We present a state-of-the-art calculation of the unpolarized pion valence-quark distribution in the framework of large-momentum effective theory (LaMET) with improved handling of systematic errors as well as two-loop perturbative matching.…

High Energy Physics - Lattice · Physics 2024-04-24 Jack Holligan , Huey-Wen Lin

We present a lattice QCD study of valence parton distribution inside the pion within the framework of Large Momentum Effective Theory. We use a mixed action approach with 1-HYP smeared valence Wilson clover quarks on 2+1 flavor HISQ sea…

We present recent results on the first moments of parton distributions using gauge configurations generated with two degenerate flavors of light twisted mass quarks with pion mass fixed approximately to its physical value. We also present a…

High Energy Physics - Lattice · Physics 2016-04-20 Constantia Alexandrou

We present the first determination of the $x$-dependent pion gluon distribution from lattice QCD using the pseudo-PDF approach. We use lattice ensembles with 2+1+1 flavors of highly improved staggered quarks (HISQ), generated by MILC…

High Energy Physics - Lattice · Physics 2021-11-17 Zhouyou Fan , Huey-Wen Lin

We investigate the higher-twist generalized parton distributions (GPDs) of the pion and kaon at zero skewness by adopting the overlap representation within the light-cone formalism. Using the wave functions of pion and kaon deduced from a…

High Energy Physics - Phenomenology · Physics 2024-06-28 Xiaoyan Luan , Zhun Lu

We report the first lattice QCD calculation of pion valence quark distribution with next-to-next-to-leading order perturbative matching correction, which is done using two fine lattices with spacings $a=0.04$ fm and $0.06$ fm and valence…

High Energy Physics - Lattice · Physics 2022-04-08 Xiang Gao , Andrew D. Hanlon , Swagato Mukherjee , Peter Petreczky , Philipp Scior , Sergey Syritsyn , Yong Zhao

We present the generalized parton distributions (GPDs) for the valence quarks of the pion and the kaon in both momentum space and position space within the basis light-front quantization framework. These GPDs are obtained from the…

High Energy Physics - Phenomenology · Physics 2021-12-16 Lekha Adhikari , Chandan Mondal , Sreeraj Nair , Siqi Xu , Shaoyang Jia , Xingbo Zhao , James P. Vary

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…

In order to learn effectively from measurements of generalised parton distributions (GPDs), it is desirable to compute them using a framework that can potentially connect empirical information with basic features of the Standard Model. We…

Nuclear Theory · Physics 2018-05-09 C. Mezrag , L. Chang , H. Moutarde , C. D. Roberts , J. Rodriguez-Quintero , F. Sabatie , S. M. Schmidt