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We recall the physical features of the parton distributions in the quantum statistical approach of the nucleon. Some predictions from a next-to-leading order QCD analysis are compared to recent experimental results. We also consider their…

High Energy Physics - Phenomenology · Physics 2011-07-26 Jacques Soffer

In the quantum statistical parton distributions approach proposed more than one decade ago to describe the parton structure, new properties are now understood, in particular, the relation between quarks and antiquarks which leads to very…

High Energy Physics - Phenomenology · Physics 2018-12-05 Claude Bourrely

We present parton distribution functions which include a quantitative estimate of its uncertainties. The parton distribution functions are optimized with respect to deep inelastic proton data, expressing the uncertainties as a density…

High Energy Physics - Phenomenology · Physics 2007-05-23 Walter T. Giele , Stephane A. Keller , David A. Kosower

Four new parton distributions of the photon are presented, with a description of theory choices, properties and applications.

High Energy Physics - Phenomenology · Physics 2007-05-23 Torbjorn Sjostrand , Gerhard A. Schuler

I discuss our current understanding of parton distributions. I begin with the underlying theoretical framework, and the way in which different data sets constrain different partons, highlighting recent developments. The methods of examining…

High Energy Physics - Phenomenology · Physics 2009-11-10 R. S. Thorne

Typically, when we are given the section (or projection) function of a convex body, it means that in each direction we know the size of the central section (or projection) perpendicular to this direction. Suppose now that we can only get…

Metric Geometry · Mathematics 2017-05-04 Jaegil Kim , Vladyslav Yaskin , Artem Zvavitch

The current status of measurements of the nucleon structure functions and their understanding is reviewed. The fixed target experiments E665, CCFR and NMC and the HERA experiments H1 and ZEUS are discussed in some detail. The extraction of…

High Energy Physics - Phenomenology · Physics 2010-03-25 A. M. Cooper-Sarkar , R. C. E. Devenish , A. De Roeck

We review the latest information that is available about the parton distributions of the proton, paying particular attention to the determination of the gluon. We briefly describe the various processes that have been advocated to be a…

High Energy Physics - Phenomenology · Physics 2007-05-23 A. D. Martin

A short review of form factors, parton distribution functions and generalized parton distributions is given. A possible application of generalized parton distributions in the weak sector is discussed.

High Energy Physics - Phenomenology · Physics 2007-05-23 Ales Psaker

Generalized parton distributions provide information on the longitudinal and transverse distribution of partons in the fast moving nucleon. Furthermore, they contain information on the spin structure of the nucleon. First results of a…

High Energy Physics - Phenomenology · Physics 2008-11-26 M. Göckeler , T. R. Hemmert , R. Horsley , D. Pleiter , P. E. L. Rakow , A. Schäfer , G. Schierholz , W. Schroers

The alternative to the standard formulation of QPM in the infinite momentum frame is suggested. The proposed approach does not require any extra assumptions in addition, consistently takes into account the parton transversal momenta and…

High Energy Physics - Phenomenology · Physics 2016-08-24 P. Zavada

In this paper we examine predictions from different models of nondiagonal parton distributions. This will be achieved by examining whether certain predictions of relationships between diagonal and nondiagonal parton distributions also hold…

High Energy Physics - Phenomenology · Physics 2014-11-17 Andreas Freund , Vadim Guzey

Machine learning has now become an integral part of research and innovation. The field of machine learning density functional theory has continuously expanded over the years while making several noticeable advances. We briefly discuss the…

Chemical Physics · Physics 2021-12-13 Bhupalee Kalita , Kieron Burke

The constraints on the models for the structure formation arising from various cosmological observations at different length scales are reviewed. The status of different models for structure formation is examined critically in the light of…

Astrophysics · Physics 2007-05-23 T. Padmanabhan

Reliable knowledge of parton distribution functions is crucial for many searches for new physics signals in the next generation of experiments. Presently, there remain a number of open questions regarding the PDF's and their uncertainties.…

High Energy Physics - Phenomenology · Physics 2007-05-23 Fredrick Olness

We consider estimation of the structural distribution function of the cell probabilities of a multinomial sample in situations where the number of cells is large. We review the performance of the natural estimator, an estimator based on…

Statistics Theory · Mathematics 2007-06-13 B. van Es , C. A. J. Klaassen , R. M. Mnatsakanov

The progress in constraining proton and nuclear parton distribution functions is briefly summarised. Some persistent uncertainties are pointed out and recent experimental advancements highlighted.

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

A fast numerical algorithm for the evolution of parton distributions in x space is described. The method is close in spirit to `brute' force techniques. The necessary integrals are performed by summing the approximate contributions from…

High Energy Physics - Phenomenology · Physics 2007-05-23 D. Fasching

A summary of recent results reported in the Structure Functions and Low-x working group at the DIS 2009 Workshop is given. Recent measurements of deep inelastic scattering cross sections and structure functions at HERA and of proton…

High Energy Physics - Experiment · Physics 2009-08-31 Burkard Reisert , Agustin Sabio Vera , Zhiqing Zhang

Parton distribution functions (DFs) have long been recognised as key measures of hadron structure. Today, theoretical prediction of such DFs is becoming possible using diverse methods for continuum and lattice analyses of strong interaction…

High Energy Physics - Phenomenology · Physics 2024-11-12 Yang Yu , Craig D. Roberts