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Exploiting an evolution scheme for parton distribution functions (DFs) that is all-orders exact, contemporary lattice-QCD (lQCD) results for low-order Mellin moments of the pion valence quark DF are shown to be mutually consistent. The…

High Energy Physics - Phenomenology · Physics 2023-11-16 Ya Lu , Yin-Zhen Xu , Khépani Raya , Craig D. Roberts , José Rodríguez-Quintero

We investigate the parton-distribution functions (PDFs) for the positively charged pion and kaon at a low-renormalization scale ~ 1 GeV. To this end, we employ the gauge-invariant effective chiral action from the nonlocal chiral-quark…

High Energy Physics - Phenomenology · Physics 2013-05-30 Seung-il Nam

The gauge-invariant, nonlocal, dynamical quark model is proved to generate the minimal vertices which satisfy the Ward-Takahashi identities. In the chiral limit, the momentum-dependent quark self-energy results in a flat-like form with some…

High Energy Physics - Phenomenology · Physics 2014-04-24 Chuan Li , Shao-Zhou Jiang , Qing Wang

We give the results of a simple model for the diagonal and off-diagonal valence quark distributions of a pion. We show that structure can be implemented in a gauge-invariant manner. This explicit model questions the validityof the momentum…

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

The unpolarized twist-2 (leading) and twist-3 (subleading), T-even, transverse-momentum dependent quark distributions in the pion are evaluated for the first time by using the actual solution of a dynamical equation in Minkowski space. The…

High Energy Physics - Phenomenology · Physics 2023-01-30 E. Ydrefors , W. de Paula , T. Frederico , G. Salmè

Instanton liquid model is believed to capture the main features of vacuum QCD dynamics. Recently, multiple predictions for hadron structure functions have been derived and compared with experimental measurements and lattice QCD…

High Energy Physics - Lattice · Physics 2026-02-05 Vaibhav Chahar , Piotr Korcyl

We present the first lattice-QCD $x$-dependent pion valence-quark generalized parton distribution (GPD) calculated directly at physical pion mass using the Large-Momentum Effective Theory (LaMET) with next-to-next-to-leading order…

High Energy Physics - Lattice · Physics 2023-10-17 Huey-Wen Lin

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

In light of recent experimental progress in determining the pressure and shear distributions in the proton, these quantities are calculated in a model with confined quarks supplemented by the pion field required by chiral symmetry. The…

High Energy Physics - Phenomenology · Physics 2023-12-11 Shiryo Owa , A. W. Thomas , X. G. Wang

Within a chiral quark model, we evaluate the good cross section in the Euclidean space in the vector - axial vector channel, proposed recently by Ma and Qiu as means to extract the so far elusive parton distribution functions of the pion…

High Energy Physics - Phenomenology · Physics 2020-09-28 Wojciech Broniowski , Enrique Ruiz Arriola

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

By use of single instanton approximation the twist-3 light-cone distribution amplitudes of pion as well as the p-wave mesons, i.e., $f_{0}(1370)$, $K_{0}^{\ast}(1430)$ and $a_{0}(1450)$ are investigated within the framework of QCD moment…

High Energy Physics - Phenomenology · Physics 2011-06-02 Jin Zhang , Zhu-feng Zhang , Hong-ying Jin

We calculate the valence parton distribution function~(PDF) of pion, within the theoretical approach based on spectral function representation of valence quarks in the pion. In this approach we assume that the soft partonic structure of…

High Energy Physics - Phenomenology · Physics 2026-03-16 Joseph Maerovitz , Christopher Leon , Misak Sargsian

We investigate the internal structure of the pion using generalized transverse momentum-dependent parton distributions (GTMDs) within the light-cone quark model. By solving the quark-quark correlator, we derive the twist-$2$, $3$, and $4$…

High Energy Physics - Phenomenology · Physics 2025-09-19 Satyajit Puhan , Shubham Sharma , Narinder Kumar , Harleen Dahiya

We suggest a method of constructing gauge invariant quark and gluon distributions that describe an abstract QCD observable and apply this method to analyze angular momentum of a hadron. In addition to the known quark and gluon polarized…

High Energy Physics - Phenomenology · Physics 2008-11-26 S. V. Bashinsky , R. L. Jaffe

We investigate the parton distribution functions (PDFs) of the pion and kaon from the eigenstates of a light-front effective Hamiltonian in the constituent quark-antiquark representation suitable for low-momentum scale applications. By…

High Energy Physics - Phenomenology · Physics 2020-09-07 Jiangshan Lan , Chandan Mondal , Shaoyang Jia , Xingbo Zhao , James P. Vary

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

A method is explained through which a pointwise accurate approximation to the pion's valence-quark distribution amplitude (PDA) may be obtained from a limited number of moments. In connection with the single nontrivial moment accessible in…

Nuclear Theory · Physics 2015-06-16 I. C. Cloët , L. Chang , C. D. Roberts , S. M. Schmidt , P. C. Tandy

We describe expressions for pion and kaon dressed-quark distribution functions that incorporate contributions from gluons which bind quarks into these mesons and hence overcome a flaw of the commonly used handbag approximation. The…

Nuclear Theory · Physics 2016-04-27 Chen Chen , Lei Chang , Craig D. Roberts , Shaolong Wan , Hong-Shi Zong

We introduce a new family of Generalised Parton Distribution models able to fulfil by construction all the theoretical properties imposed by QCD. These models are built on standard Parton Distribution Functions and extended to off-forward…