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This work presents the first calculation of the lowest moment of the forward Compton structure function $\mathcal{F}_2$ for a multi-nucleon deuteron-like state using Feynman-Hellmann lattice QCD techniques. Using this result as a…

High Energy Physics - Lattice · Physics 2025-05-07 N. Humphrey , K. U. Can , R. Horsley , P. E. L. Rakow , G. Schierholz , H. Stüben , R. D. Young , J. M. Zanotti

Large-Momentum Effective Theory (or LaMET) advocated by the present authors provides a direct approach to simulate parton physics in Eulidean lattice QCD theory. Recently, there has been much interest in this theory in the literature, with…

High Energy Physics - Phenomenology · Physics 2017-09-20 Xiangdong Ji , Jian-Hui Zhang , Yong Zhao

We have initiated a program to compute the Compton amplitude from lattice QCD with the Feynman-Hellman method. This amplitude is related to the structure function via a Fredholm integral equation of the first kind. It is known that these…

An extensive theoretical analysis of off-forward parton distributions (OFPDs) is presented. The OFPDs and the form factors of the quark energy-momentum tensor are estimated at a low-energy scale using a bag model. Relations among the second…

High Energy Physics - Phenomenology · Physics 2009-10-30 Xiangdong Ji , W. Melnitchouk , X. Song

Hadron tomography can be investigated by three-dimensional structure functions such as generalized parton distributions (GPDs), transverse-momentum-dependent parton distributions, and generalized distribution amplitudes (GDAs). Here, we…

High Energy Physics - Phenomenology · Physics 2019-01-14 S. Kumano , Qin-Tao Song , O. V. Teryaev

In this article, we review recent lattice calculations on the $x$-dependence of parton distributions, with the latter providing information on hadron structure. These calculations are based on matrix elements of boosted hadrons coupled to…

High Energy Physics - Lattice · Physics 2021-03-17 Martha Constantinou

We perform non-perturbative calculation of the \pi^0 to {\gamma}{\gamma} transition form factor and the associated decay width using lattice QCD. The amplitude for two-photon final state, which is not an eigenstate of QCD, is extracted…

High Energy Physics - Lattice · Physics 2013-05-30 Xu Feng , Sinya Aoki , Hidenori Fukaya , Shoji Hashimoto , Takashi Kaneko , Jun-ichi Noaki , Eigo Shintani

We present results for the unpolarized parton distribution function of the nucleon computed in lattice QCD at the physical pion mass. This is the first study of its kind employing the method of Ioffe time pseudo-distributions. Beyond the…

High Energy Physics - Lattice · Physics 2020-12-30 Bálint Joó , Joseph Karpie , Kostas Orginos , Anatoly V. Radyushkin , David G. Richards , Savvas Zafeiropoulos

We define in the framework of light-cone collinear factorization method, the chiral-odd generalized parton distributions (GPDs) of a pseudoscalar hadron (such as the $\pi^0$) up to twist 6. For that, we introduce the relevant matrix…

High Energy Physics - Phenomenology · Physics 2014-07-25 B. Pire , L. Szymanowski , S. Wallon

We have calculated the second moment of the pion light-cone distribution amplitude using two flavors of dynamical (clover) fermions on lattices of different volumes, lattice spacings between $0.06 \, \mathrm {fm}$ and $0.08 \, \mathrm {fm}$…

High Energy Physics - Lattice · Physics 2015-10-27 V. M. Braun , S. Collins , M. Göckeler , P. Pérez-Rubio , A. Schäfer , R. W. Schiel , A. Sternbeck

We calculate all leading-twist gluon generalized parton distributions (GPDs) inside the proton at nonzero skewness using the basis light-front quantization framework. The proton's light-front wave functions are derived from a light-front…

High Energy Physics - Phenomenology · Physics 2025-01-20 Pengxiang Zhang , Yiping Liu , Siqi Xu , Chandan Mondal , Xingbo Zhao , James P. Vary

Within the soft collinear effective theory (SCET), we derive a factorization theorem which resums Sudakov logarithms $(\alpha_s\ln^2(-t))^n$ to all orders in the quark-in-quark generalized parton distribution (GPD) at large momentum…

High Energy Physics - Phenomenology · Physics 2025-11-12 Yoshitaka Hatta , Jakob Schoenleber

We show that the two-dimensional Fourier transform of the generalized parton distributions (GPDs) has two distinct interpretations: at zero skewness ($\eta=0$) it yields the familiar impact-parameter density, while at finite skewness ($\eta…

High Energy Physics - Phenomenology · Physics 2026-02-25 Florian Hechenberger , Kiminad A. Mamo , Ismail Zahed

The evaluation of partonic distributions presents a challenge for QCD, and in particular for its Euclidean lattice realization. Recently, objects called quasi-distributions (which become standard distributions in a limit of the longitudinal…

High Energy Physics - Phenomenology · Physics 2017-11-28 Wojciech Broniowski , Enrique Ruiz Arriola

We propose to introduce the intrinsic transversal momentum distribution functions (iTMDs), in conjunction with the light-cone distribution amplitudes (LCDAs), to elucidate the probability amplitude of encountering a meson state wherein the…

High Energy Physics - Phenomenology · Physics 2025-03-25 Jian Chai , Shan Cheng

Generalized parton distributions (GPDs) have become a standard QCD tool for analyzing and parametrizing the non perturbative parton structure of hadron targets. GPDs might be viewed as non-diagonal overlaps of light-cone wave functions and…

High Energy Physics - Phenomenology · Physics 2009-02-19 B. Pasquini , S. Boffi

We present the first calculation of the pion gluon moment from lattice QCD in the continuum-physical limit. The calculation is done using clover fermions for the valence action with three pion masses, 220, 310 and 690 MeV, and three lattice…

High Energy Physics - Lattice · Physics 2023-10-19 William Good , Kinza Hasan , Allison Chevis , Huey-Wen Lin

We calculate the elastic form factors and the Generalized Parton Distributions (GPDs) for four low-lying bound states of a demonstration fermion-antifermion system, strong coupling positronium ($e \bar{e}$), using Basis Light-Front…

Nuclear Theory · Physics 2016-05-18 Lekha Adhikari , Yang Li , Xingbo Zhao , Pieter Maris , James P. Vary , Alaa Abd El-Hady

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

High Energy Physics - Lattice · Physics 2021-08-11 Nicholas Juliano , Rui Zhang , Carson Honkala , Huey-Wen Lin

Generalized Parton Distributions (GPDs) have emerged over the 1990s as a powerful concept and tool to study nucleon structure. They provide nucleon tomography from the correlation between transverse position and longitudinal momentum of…

High Energy Physics - Phenomenology · Physics 2021-02-03 Shengying Zhao , Eric Voutier
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