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The Collins-Soper kernel, which governs the energy evolution of transverse-momentum dependent parton distribution functions (TMDPDFs), is required to accurately predict Drell-Yan like processes at small transverse momentum, and is a key…

High Energy Physics - Phenomenology · Physics 2020-03-23 Markus A. Ebert , Iain W. Stewart , Yong Zhao

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 study the role of the $Z/\gamma$-interference parton distribution function (PDF) in high-energy muon colliders. We review how this PDF emerges when electroweak interactions are applied to the collinear splitting process and show that the…

High Energy Physics - Phenomenology · Physics 2025-06-18 David Marzocca , Alfredo Stanzione

Quark bilinear operators with staple-shaped Wilson lines are used to study transverse-momentum-dependent parton distribution functions (TMDPDFs) from lattice quantum chromodynamics (QCD). Here, the renormalization factors for the isovector…

High Energy Physics - Lattice · Physics 2020-04-15 Phiala Shanahan , Michael L. Wagman , Yong Zhao

We develop a non-perturbative model for valence parton distribution functions (PDFs) based on the mean field interactions of valence quarks in the nucleonic interior. The main motivation for the model is to obtain a mean field description…

High Energy Physics - Phenomenology · Physics 2021-12-08 Christopher Leon , Misak Sargsian

We review the current status of Parton Distribution Function (PDF) determinations for unpolarized and longitudinally polarized protons and for unpolarized nuclei, which are probed by high-energy hadronic scattering in perturbative Quantum…

High Energy Physics - Phenomenology · Physics 2020-02-18 Jacob J. Ethier , Emanuele R. Nocera

We perform the first quantum computation of parton distribution function (PDF) with a real quantum device by calculating the PDF of the lightest positronium in the Schwinger model with IBM quantum computers. The calculation uses 10 qubits…

High Energy Physics - Lattice · Physics 2025-09-23 Jiunn-Wei Chen , Yu-Ting Chen , Ghanashyam Meher

In this work, we study the renormalization of nonlocal quark bilinear operators containing an asymmetric staple-shaped Wilson line at the one-loop level in both lattice and continuum perturbation theory. These operators enter the…

High Energy Physics - Lattice · Physics 2024-06-10 Gregoris Spanoudes , Martha Constantinou , Haralambos Panagopoulos

A new and simple statistical approach is performed to calculate the parton distribution functions (PDFs) of the nucleon in terms of light-front kinematic variables. We do not put in any extra arbitrary parameter or corrected term by hand,…

High Energy Physics - Phenomenology · Physics 2009-03-12 Yunhua Zhang , Lijing Shao , Bo-Qiang Ma

We present a new analysis to extract pion parton distribution functions (PDFs) within the framework of the statistical model. Starting from the statistical model first developed for the spin-1/2 nucleon, we extend this model to describe the…

High Energy Physics - Phenomenology · Physics 2022-04-29 Claude Bourrely , Wen-Chen Chang , Jen-Chieh Peng

We discuss the renormalization of gauge-invariant transverse-momentum dependent (TMD), i.e., unintegrated, parton distribution functions (PDFs) and carry out the calculation of their anomalous dimension at one loop. We show that in the…

High Energy Physics - Phenomenology · Physics 2008-10-01 N. G. Stefanis , I. O. Cherednikov

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

Precise quantification of the structure of nucleons is one of the crucial aims of hadronic physics for the coming years. The expected progress related to ongoing and planned experiments should be accompanied by calculations of partonic…

High Energy Physics - Lattice · Physics 2022-10-05 Manjunath Bhat , Wojciech Chomicki , Krzysztof Cichy , Martha Constantinou , Jeremy R. Green , Aurora Scapellato

Parton distribution function (PDF) at small $x$ in a fast-moving proton is investigated within an upgraded parton model that includes parton splitting with branching cascades and parton fusion. In the region of moderately small $x$, we…

High Energy Physics - Phenomenology · Physics 2026-02-27 M. L. Nekrasov

I present a first determination of a set of collinear fragmentation functions of charged pions using the NNPDF methodology. The analysis is based on a wide set of single-inclusive electron-positron annihilation data, including recent…

High Energy Physics - Phenomenology · Physics 2017-02-01 Emanuele R. Nocera

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 establish a factorization relation between baryon quasi-distribution amplitudes (quasi-DAs) defined with gradient flow and their counterparts renormalized in the $\overline{MS}\,$ scheme. Working beyond the small flow-time limit, we…

High Energy Physics - Phenomenology · Physics 2025-10-17 Jia-lu Zhang , Mu-Hua Zhang

We examine the dependence of parton distribution functions (PDFs) on the value of the QCD coupling strength $\alpha_{s}(M_{Z})$. We explain a simple method that is rigorously valid in the quadratic approximation normally applied in PDF…

High Energy Physics - Phenomenology · Physics 2014-11-20 Hung-Liang Lai , Joey Huston , Zhao Li , Pavel Nadolsky , Jon Pumplin , Daniel Stump , C. -P. Yuan

A rainbow-ladder truncation of QCD's Dyson-Schwinger equations, constrained by existing applications to hadron physics, is employed to compute the valence-quark parton distribution functions of the pion and kaon. Comparison is made to pi-N…

Nuclear Theory · Physics 2011-07-04 Trang Nguyen , Adnan Bashir , Craig D. Roberts , Peter C. Tandy

Quasi-parton distribution functions have received a lot of attentions in both perturbative QCD and lattice QCD communities in recent years because they not only carry good information on the parton distribution functions, but also could be…

High Energy Physics - Phenomenology · Physics 2017-11-23 Tomomi Ishikawa , Yan-Qing Ma , Jian-Wei Qiu , Shinsuke Yoshida