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We report an exploratory study of the current-current matrix elements that are relevant to the extraction of moments of the pion light-cone distribution amplitude, employing the method of introducing a valence relativistic heavy quark. The…

High Energy Physics - Lattice · Physics 2018-10-30 William Detmold , Issaku Kanamori , C. -J. David Lin , Santanu Mondal , Yong Zhao

We perform a first calculation for the unpolarized parton distribution function of the $\Delta^+$ baryon using lattice QCD simulations within the framework of Large Momentum Effective Theory. Two ensembles of $N_f=2+1+1$ twisted mass…

The parton distribution function of the pion in the valence region is extracted in a next-to-leading order analysis from Fermilab E-615 pionic Drell-Yan data. The effects of the parameterization of the pion's valence distributions are…

Nuclear Experiment · Physics 2009-11-11 K. Wijesooriya , P. E. Reimer , R. J. Holt

This review paper presents the gluon, sea, and valence quark distributions of the pseudoscalar (PS) mesons. The calculations of the parton structure of PS mesons are performed using the Bethe-Salpeter equation-Nambu--Jona-Lasinio (BSE-NJL)…

High Energy Physics - Phenomenology · Physics 2023-03-06 Parada T. P. Hutauruk , Seung-il Nam

An approach is proposed to calculate Generalized Parton Distributions (GPDs) in a Constituent Quark Model (CQM) scenario. These off-diagonal distributions are obtained from momentum space wave functions to be evaluated in a given non…

High Energy Physics - Phenomenology · Physics 2007-05-23 Sergio Scopetta , Vicente Vento

We present a lattice measurement of the first two moments of the spin-dependent GPD H-tilde(x,xi,t). From these we obtain the axial coupling constant and the second moment of the spin-dependent forward parton distribution. The measurements…

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

This work presents the first lattice-QCD calculation of the twist-3 axial quark GPDs for the proton using the large-momentum effective theory approach. We calculate matrix elements with momentum-boosted proton states and a non-local axial…

We present a lattice QCD determination of the distribution amplitude (DA) of the pion and the first few Mellin moments from an analysis of the quasi-DA matrix element within the leading-twist framework. We perform our study on a HISQ…

High Energy Physics - Lattice · Physics 2022-10-21 Xiang Gao , Andrew D. Hanlon , Nikhil Karthik , Swagato Mukherjee , Peter Petreczky , Philipp Scior , Sergey Syritsyn , Yong Zhao

In this paper, I investigate the gluon distributions for the kaon and pion, as well as the improvement of the valence-quark distributions, in the framework of the gauge-invariant nonlocal chiral quark model (NL$\chi$QM), where the momentum…

High Energy Physics - Phenomenology · Physics 2025-06-23 Parada T. P. Hutauruk

We compute the pion quark Generalized Parton Distribution H and quark Double Distributions F and G in a coupled Bethe-Salpeter and Dyson-Schwinger approach in terms of quark flavors or isospin states. We use simple analytic expressions…

High Energy Physics - Phenomenology · Physics 2014-07-01 C. Mezrag , H. Moutarde , J. Rodríguez-Quintero , F. Sabatié

We present an update on our lattice calculations of the Mellin moments of PDFs and GPDs for the pion and kaon, using momentum-boosted meson states. In particular, we focus on the calculation of the scalar and tensor local operators, and the…

High Energy Physics - Lattice · Physics 2024-01-09 Joseph Delmar , Constantia Alexandrou , Simone Bacchio , Ian Cloët , Martha Constantinou , Giannis Koutsou

In this paper, we develop an approach to calculate the valence-quark quasi parton distribution amplitude (quasi-PDA) and quasi parton distribution function (quasi-PDF) for the pion with a large longitudinal momentum with the functional…

High Energy Physics - Phenomenology · Physics 2025-02-24 Dao-yu Zhang , Chuang Huang , Wei-jie Fu

We present the state-of-the-art lattice QCD calculation of the pion and kaon light-cone distribution amplitudes (DAs) using large-momentum effective theory. The calculation is done at three lattice spacings $a\approx\{0.06,0.09,0.12\}$ fm…

High Energy Physics - Lattice · Physics 2022-10-05 Jun Hua , Min-Huan Chu , Jin-Chen He , Xiangdong Ji , Andreas Schäfer , Yushan Su , Peng Sun , Wei Wang , Ji Xu , Yi-Bo Yang , Fei Yao , Jian-Hui Zhang , Qi-An Zhang

Using heavy baryon chiral perturbation theory we study the leading chiral corrections to the complete set of nucleon generalized parton distributions (GPDs). We compute the leading quark mass and momentum transfer dependence of the moments…

High Energy Physics - Phenomenology · Physics 2008-11-26 Shung-ichi Ando , Jiunn-Wei Chen , Chung-Wen Kao

We present a lattice QCD calculation of the pion scalar form factor and associated radii with fully controlled systematics. Lattice results are computed on a large set of 17 gauge ensembles with $N_f=2+1$ Wilson Clover-improved sea quarks.…

High Energy Physics - Lattice · Physics 2025-03-27 Konstantin Ottnad , Georg von Hippel

We present the first attempt to access the $x$-dependence of the gluon unpolarized parton distribution function (PDF), based on lattice simulations using the large-momentum effective theory (LaMET) approach. The lattice calculation is…

High Energy Physics - Lattice · Physics 2018-12-19 Zhou-You Fan , Yi-Bo Yang , Adam Anthony , Huey-Wen Lin , Keh-Fei Liu

The valence double parton distribution of the pion is analyzed in the framework of chiral quark models, where in the chiral limit factorization between the longitudinal and transverse degrees of freedom occurs. This feature leads, at the…

High Energy Physics - Phenomenology · Physics 2020-01-29 Wojciech Broniowski , Enrique Ruiz Arriola

The valence-quark distribution function of the pion has been of interest for decades; particularly, the profile it should adopt when $x\to1$ (the large-$x$ behavior) is subject of a long-standing debate. In the light-front holographic QCD…

High Energy Physics - Phenomenology · Physics 2021-02-02 Lei Chang , Khépani Raya , Xiaobin Wang

In this contribution, results from $N_f=2$ lattice QCD simulations at one lattice spacing using twisted mass fermions with a clover term at the physical pion mass are presented. The mass splitting between charged and neutral pions…