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We review the theoretical foundations, methodological approaches and current status of the determination of nuclear parton distribution functions (PDFs). A large variety of measurements in fixed-target and collider experiments provide…

High Energy Physics - Phenomenology · Physics 2024-07-16 M. Klasen

The availability of metadata for scientific documents is pivotal in propelling scientific knowledge forward and for adhering to the FAIR principles (i.e. Findability, Accessibility, Interoperability, and Reusability) of research findings.…

Information Retrieval · Computer Science 2025-01-10 Zeyd Boukhers , Cong Yang

In this work, we investigate the valence quark parton distribution functions (PDFs) of the pion within the light-cone quark model. The initial quark PDFs are calculated by solving the quark-quark correlation function for the pseudoscalar…

High Energy Physics - Phenomenology · Physics 2026-04-08 Hari Govind P , Satyajit Puhan , Abhishek K. P , Reetanshu Pandey , Harleen Dahiya , Arvind Kumar , Suneel Dutt

We review the latest progress in lattice QCD calculations of the partonic structure of hadrons. This structure is, in particular, described in terms of $x$-dependent distributions, the simplest of which are the standard parton distribution…

High Energy Physics - Lattice · Physics 2021-10-18 Krzysztof Cichy

We present PDFFlow, a new software for fast evaluation of parton distribution functions (PDFs) designed for platforms with hardware accelerators. PDFs are essential for the calculation of particle physics observables through Monte Carlo…

High Energy Physics - Phenomenology · Physics 2020-12-16 Marco Rossi , Stefano Carrazza , Juan M. Cruz-Martinez

We introduce a generalized definition of parton distribution functions (PDFs) for a more consistent all-order treatment of power corrections. We present a new set of modified DGLAP evolution equations for nuclear PDFs, and show that the…

High Energy Physics - Phenomenology · Physics 2008-11-26 Zhong-Bo Kang , Jian-Wei Qiu

We develop a novel strategy for accessing the transversity parton distribution function (PDF) of the nucleon within collinear factorization using near-side energy-energy correlators in the dihadron fragmentation framework. We show how this…

High Energy Physics - Phenomenology · Physics 2026-05-08 Zhong-Bo Kang , Andreas Metz , Daniel Pitonyak , Congyue Zhang

Within the theory of Quantum Chromodynamics (QCD), the rich structure of hadrons can be quantitatively characterized, among others, using a basis of universal non-perturbative functions: parton distribution functions (PDFs), generalized…

High Energy Physics - Lattice · Physics 2019-06-14 Krzysztof Cichy , Martha Constantinou

We introduce a new functional representation of probability density functions (PDFs) of non-negative random variables via a product of a monomial factor and linear combinations of decaying exponentials with complex exponents. This…

Probability · Mathematics 2018-02-13 Gregory Beylkin , Lucas Monzon , Ignas Satkauskas

We present a novel factor analysis method that can be applied to the discovery of common factors shared among trajectories in multivariate time series data. These factors satisfy a precedence-ordering property: certain factors are recruited…

Machine Learning · Statistics 2011-05-10 Arnau Tibau Puig , Alfred O. Hero

Non-negative matrix factorization (NMF) has previously been shown to be a useful decomposition for multivariate data. We interpret the factorization in a new way and use it to generate missing attributes from test data. We provide a joint…

Numerical Analysis · Computer Science 2010-07-05 Mithun Das Gupta

Unidimensional factor models justify some of the most consequential summaries in science -- single scores, single ranks, and single leaderboards -- yet unidimensionality is usually assessed indirectly by fitting and evaluating models on…

Methodology · Statistics 2026-03-25 Michael Hardy

Fourier transform of the generalized parton distributions (GPDs) at zero skewness with respect to the transverse momentum transfer gives the distribution of partons in the impact parameter space. We investigate the GPDs as well as the…

High Energy Physics - Phenomenology · Physics 2008-11-26 H. Dahiya , A. Mukherjee , S. Ray

In this work, we discuss: (i) The ratios of different parton distribution functions (PDFs), i.e., MMHT2014, CJ15, CTEQ6l1, HERAPDF15, MSTW2008, HERAPDF20 and MSHT20, and the corresponding Kimber-Martin-Ryskin (KMR) unintegrated parton…

High Energy Physics - Phenomenology · Physics 2022-06-30 Z. Badieian Baghsiyahi , Majid Modarres , Ramin Kord Valeshabadi

One of the most fascinating challenges in the context of parton density function (PDF) is the determination of the best combined PDF uncertainty from individual PDF sets. Since 2014 multiple methodologies have been developed to achieve this…

High Energy Physics - Phenomenology · Physics 2016-05-18 Stefano Carrazza , José I. Latorre

This paper calculates the elastic form factors for nucleons based on generalized parton distributions using an extended new ansatz introduced in http://dx.doi.org/10.1103/PhysRevC.105.025202 (Phys. Rev. C 105, no.2, 025202 (2022)).…

High Energy Physics - Phenomenology · Physics 2023-06-06 Hossein Vaziri , Mohammad Reza Shojaei

We propose an efficacious approach to derive the generalized parton distributions for the pion and proton, based upon prior knowledge of their respective parton distribution functions (PDFs). Our method leverages on integral representations…

High Energy Physics - Phenomenology · Physics 2024-06-17 Xiaobin Wang , Zanbin Xing , Minghui Ding , Khépani Raya , Lei Chang

In this paper, the classical problem of the probabilistic characterization of a random variable is re-examined. A random variable is usually described by the probability density function (PDF) or by its Fourier transform, namely the…

Mathematical Physics · Physics 2013-01-22 Giulio Cottone , Mario Di Paola

We present a new method to extract parton distribution functions from high energy experimental data based on a specific type of neural networks, the Self-Organizing Maps. We illustrate the features of our new procedure that are particularly…

High Energy Physics - Phenomenology · Physics 2017-08-23 K. Holcomb , S. Liuti , D. Z. Perry

Parton distribution functions (PDFs) are central to precision QCD phenomenology. Their Mellin moments can be computed on the lattice, but direct determinations using local operators, besides $\langle x \rangle$, face severe challenges from…