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Related papers: Recent progress in PDF theory

200 papers

We summarize the major results in number theory of the last decade.

History and Overview · Mathematics 2010-12-14 Adam Grygiel

The paper analyzes dynamic epistemic logic from a topological perspective. The main contribution consists of a framework in which dynamic epistemic logic satisfies the requirements for being a topological dynamical system thus interfacing…

Logic in Computer Science · Computer Science 2017-09-05 Dominik Klein , Rasmus K. Rendsvig

This report summarizes the latest developments in the CTEQ-TEA global analysis of parton distribution functions (PDFs) in the nucleon. The focus is on recent NNLO fits to high-precision LHC data at 8 and 13 TeV, including Drell-Yan, jet,…

High Energy Physics - Phenomenology · Physics 2024-11-26 A. Ablat , A. Courtoy , S. Dulat , M. Guzzi , T. J. Hobbs , T. -J. Hou , J. Huston , K. Mohan , H. -W. Lin , P. Nadolsky , I. Sitiwaldi , K. Xie , M. Yan , C. -P. Yuan

Nuclear parton distribution functions (nuclear PDFs), collinearly factorizable in perturbative QCD (pQCD), are currently extracted most reliably from global analyses of experimental data. Recently, the progress in this field has been driven…

High Energy Physics - Phenomenology · Physics 2022-11-17 Petja Paakkinen

Computers have already changed the way that humans do mathematics: they enable us to compute efficiently. But will they soon be helping us to reason? And will they one day start reasoning themselves? We give an overview of recent…

Artificial Intelligence · Computer Science 2025-02-13 Kevin Buzzard

Uncertainties on parton distribution functions (PDFs) compromise discovery at the LHC for any new physics which can be described as a contact-interaction. PDF uncertainties also limit our ability to use W and Z cross-sections as an accurate…

High Energy Physics - Phenomenology · Physics 2007-07-12 A M Cooper-Sarkar

We summarize recent progress toward the next generation of CTEQ-TEA parton distribution functions, CT25, based on a global NNLO analysis that incorporates a significant sample of newly included LHC data. We present a baseline fit within the…

High Energy Physics - Phenomenology · Physics 2025-12-30 A. Ablat , A. Courtoy , S. Dulat , Y. Fu , M. Guzzi , T. J. Hobbs , J. Huston , K. Mohan , P. Nadolsky , M. Ponce-Chavez , D. Stump , K. Xie , C. -P. Yuan

We survey recent generalizations and improvements of the linear programming method that involve semidefinite programming. A general framework using group representations and tools from graph theory is provided.

Information Theory · Computer Science 2010-09-09 Christine Bachoc

This study introduces a system leveraging Large Language Models (LLMs) to extract text and enhance user interaction with PDF documents via a conversational interface. Utilizing Retrieval-Augmented Generation (RAG), the system provides…

Information Retrieval · Computer Science 2025-02-20 Soham Roy , Mitul Goswami , Nisharg Nargund , Suneeta Mohanty , Prasant Kumar Pattnaik

We study the properties, in particular termination, of dependent types systems for lambda calculus and rewriting.

Logic in Computer Science · Computer Science 2016-08-16 Frédéric Blanqui

This summary presents personal highlights from the Structure Functions and PDFs Working Group (WG1) at DIS 2016.

High Energy Physics - Phenomenology · Physics 2016-10-25 R. McNulty , R. S. Thorne , K. Wichmann

Automatic text summarization has experienced substantial progress in recent years. With this progress, the question has arisen whether the types of summaries that are typically generated by automatic summarization models align with users'…

Computation and Language · Computer Science 2022-04-26 Maartje ter Hoeve , Julia Kiseleva , Maarten de Rijke

In this note we study the Petty projection of a log-concave function, which has been recently introduced in [9]. Moreover, we present some new inequalities involving this new notion, partly complementing and correcting some results from…

Functional Analysis · Mathematics 2023-05-29 Leticia Alves da Silva , Bernardo González Merino , Rafael Villa

We review recent work in machine learning aspects of conformal field theory and Lie algebra representation theory using neural networks.

High Energy Physics - Theory · Physics 2022-02-01 Shailesh Lal

In this paper some new ways of generalizing perfect numbers are investigated, numerical results are presented and some conjectures are established.

Number Theory · Mathematics 2010-08-03 Antal Bege , Kinga Fogarasi

We study multiple orthogonal polynomials exploiting their explicit determinantal representation in terms of moments. Our reasoning follows that applied to solve the Hermite-Pad\'{e} approximation and interpolation problems. We study also…

Exactly Solvable and Integrable Systems · Physics 2026-03-17 Adam Doliwa

Here we would like to review recent progress on the resummation on logarithms of $\alpha_s$ in heavy quarkonium. We will mainly focus on the phenomenological relevance of these achievements. Determinations of the $\eta_b(1S)$ mass,…

High Energy Physics - Phenomenology · Physics 2007-05-23 Antonio Pineda

This paper summarizes the current status of the electromagnetic data libraries, reviews recent experimental validation results, highlights open issues and introduces new perspectives for the future of these data libraries taking shape in…

Computational Physics · Physics 2020-04-22 Doina Cristina Duma , Sandra Parlati , Maria Grazia Pia , Elisabetta Ronchieri , Paolo Saracco

Number of results in number theory have been developed using a new method. The Goldbach binary conjecture in strengthened formulation have been among them.

General Mathematics · Mathematics 2007-12-04 M. V. Antipov

PDFs can be studied directly using lattice QCD by evaluating matrix elements of non-local operators. A number of groups are pursuing numerical calculations and investigating possible systematic uncertainties. One systematic that has…

High Energy Physics - Lattice · Physics 2018-11-08 Raúl A. Briceño , Juan V. Guerrero , Maxwell T. Hansen , Christopher J. Monahan