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Related papers: Pion Valence-quark Parton Distribution Function

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We present a calculation of the bare quasi-PDF (qPDF) of the pion. We perform these calculations using the HotQCD HISQ gauge ensemble for our sea quarks along with a Wilson-Clover valence quark action. Our lattice size is $48^3\times64$,…

We present the parton distribution functions (PDFs) for un- polarised, longitudinally polarized and transversely polarized quarks in a proton using the light-front quark diquark model. We also present the scale evolution of PDFs and…

High Energy Physics - Phenomenology · Physics 2018-01-08 Tanmay Maji , Dipankar Chakrabarti

We present the first exploratory lattice QCD calculation of the pion valence quark distribution extracted from spatially separated current-current correlations in coordinate space. We show that an antisymmetric combination of vector and…

High Energy Physics - Lattice · Physics 2019-04-17 Raza Sabbir Sufian , Joseph Karpie , Colin Egerer , Kostas Orginos , Jian-Wei Qiu , David G. Richards

We compute the twist-2 unpolarized quark parton distribution functions (PDFs) of the pion and the $\rho$ meson within the Dyson-Schwinger equations (DSEs) framework using the rainbow-ladder (RL) truncation. A new DSE for the spin-1 hadron's…

High Energy Physics - Phenomenology · Physics 2026-03-10 Chao Shi , Liming Lu , Wenbao Jia

The general method for calculation of valence quark distributions in hadrons at intermediate $x$ is presented. The imaginary part of virtual photon forward scattering amplitude on quark current with hadron quantum number is considered in…

High Energy Physics - Phenomenology · Physics 2007-05-23 B. L. Ioffe

The pion structure function is investigated in a simple model, where the pion and its constituent quark fields are coupled through the simplest pseudoscalar coupling. The imaginary part of the forward gamma* pi -> gamma* pi scattering…

High Energy Physics - Phenomenology · Physics 2007-05-23 J. P. Lansberg , F. Bissey , J. R. Cudell , J. Cugnon , M. Jaminon , P. Stassart

We compute the distribution amplitudes of the pion and kaon in the light-front constituent quark model with the symmetric quark-bound state vertex function. In the calculation we explicitly include the flavor-SU(3) symmetry breaking effect…

High Energy Physics - Phenomenology · Physics 2016-06-22 J. P. B. C. de Melo , Isthiaq Ahmed , Kazuo Tsushima

We employ the continuum Schwinger function method to investigate the unpolarized valence-quark transverse-momentum-dependent parton distribution function (TMD) of the pion at the hadron scale. The first seventeen generalized…

High Energy Physics - Phenomenology · Physics 2025-11-25 Minghui Ding

In this work, we report a lattice calculation of $x$-dependent valence pion generalized parton distributions (GPDs) at zero skewness with multiple values of the momentum transfer $-t$. The calculations are based on an $N_f=2+1$ gauge…

High Energy Physics - Lattice · Physics 2025-02-14 Heng-Tong Ding , Xiang Gao , Swagato Mukherjee , Peter Petreczky , Qi Shi , Sergey Syritsyn , Yong Zhao

Parton distribution functions (PDFs) and light-cone distribution amplitudes (LCDAs) are central non-perturbative objects of interest in high-energy inelastic and elastic scattering, respectively. As a result, an ab-initio determination of…

High Energy Physics - Lattice · Physics 2021-10-22 William Detmold , Anthony V. Grebe , Issaku Kanamori , C. -J. David Lin , Robert J. Perry , Yong Zhao

We obtain the pion and the kaon parton distribution functions from the eigenstates of a light front effective Hamiltonian in the constituent quark-antiquark representation suitable for low-momentum scale applications. By taking these scales…

Nuclear Theory · Physics 2019-05-07 Jiangshan Lan , Chandan Mondal , Shaoyang Jia , Xingbo Zhao , James P. Vary

We present a nonperturbative determination of the pion valence parton distribution function (PDF) moment ratios $\left\langle x^{n-1} \right\rangle / \left\langle x \right\rangle$ up to $n=6$, using the gradient flow in lattice QCD. As a…

We evaluate the valence double parton distribution (dPDF) of the pion in the Nambu--Jona-Lasinio model. At the low-energy quark-model scale and in the chiral limit a particularly simple factorized form $D(x_1,x_2, \vec{q}) =…

High Energy Physics - Phenomenology · Physics 2020-01-06 Wojciech Broniowski , Enrique Ruiz Arriola

We perform the first global QCD analysis of parton distribution functions (PDFs) in the pion, combining $\pi A$ Drell-Yan data with leading neutron electroproduction from HERA within a Monte Carlo approach based on nested sampling.…

High Energy Physics - Phenomenology · Physics 2018-10-17 P. C. Barry , N. Sato , W. Melnitchouk , Chueng-Ryong Ji

The method for calculation of valence quark distributions at intermediate $x$ is presented. The imaginary part of the virtual photon forward scattering amplitude on the quark current with meson quantum number is considered. Initial and…

High Energy Physics - Phenomenology · Physics 2009-10-31 B. L. Ioffe , A. G. Oganesian

Using constituent quark model constraints we calculate the gluon and sea-quark content of pions solely in terms of their valence density (fixed by \pi N Drell-Yan data) and the known sea and gluon distributions of the nucleon, using the…

High Energy Physics - Phenomenology · Physics 2010-04-06 M. Gluck , E. Reya , I. Schienbein

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

We perform the first global QCD analysis of pion valence, sea quark, and gluon distributions within a Bayesian Monte Carlo framework with threshold resummation on Drell-Yan cross sections at next-to-leading log accuracy. Exploring various…

High Energy Physics - Phenomenology · Physics 2021-12-01 P. C. Barry , Chueng-Ryong Ji , N. Sato , W. Melnitchouk

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

We determine the valence parton distribution function of the pion by performing a new analysis of data for the Drell-Yan process $\pi^- N\to \mu^+\mu^-X$. Compared to previous analyses, we include next-to-leading-logarithmic threshold…

High Energy Physics - Phenomenology · Physics 2010-12-23 Matthias Aicher , Andreas Schäfer , Werner Vogelsang