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Sets of parton distribution functions (PDFs) of the proton are reported for the leading (LO), next-to-leading (NLO) and next-to-next-to leading order (NNLO) QCD calculations. The parton distribution functions are determined with the…

This article is an introduction to parton distribution functions and their generalizations which describe the quark and gluon structure of hadrons, and can be measured in various high-energy scattering processes. We provide the theoretical…

High Energy Physics - Phenomenology · Physics 2026-01-23 Cédric Lorcé , A. Metz , B. Pasquini , P. Schweitzer

The possibility of an improvement of current NLO Monte Carlo event generators by means of choosing a suitable factorization scheme is studied. The optimal factorization scheme for combining initial state parton showers and NLO hard…

High Energy Physics - Phenomenology · Physics 2012-12-12 Karel Kolar

General-purpose Monte Carlo event generators have become important tools in particle physics, allowing the simulation of exclusive hadronic final states. In this article we examine the Pythia 8 generator, in particular focusing on its…

High Energy Physics - Phenomenology · Physics 2011-03-18 Richard Corke , Torbjörn Sjöstrand

The CTEQ and MRS parton distributions involve a substantial number (~30) of parameters that are fit to a large number (~900) of data. Typically, these groups produce fits that represent a good fit to the data, but there is no substantial…

High Energy Physics - Phenomenology · Physics 2007-05-23 John C. Collins , Davison E. Soper

Off-shell, transverse-momentum dependent splitting functions can be defined from the high-energy limit of partonic decay amplitudes. Based on these splitting functions, we construct Sudakov form factors and formulate a new parton branching…

High Energy Physics - Phenomenology · Physics 2022-07-27 F. Hautmann , M. Hentschinski , L. Keersmaekers , A. Kusina , K. Kutak , A. Lelek

Programs that calculate observables in quantum chromodynamics at next-to-leading order typically suffer from the problem that, when considered as event generators, the events generated consist of partons rather than hadrons and just a few…

High Energy Physics - Phenomenology · Physics 2009-04-13 Michael Kramer , Davison E. Soper

We compute the parton distributions for the chiral quark model. We present a new technique for performing such computations based on Green functions. This approach avoids a discretization of the spectrum. It therefore does not need any…

High Energy Physics - Phenomenology · Physics 2016-09-06 J. Baacke , H. Sprenger

Fracture functions are parton distributions of an initial hadron in the presence of an almost collinear particle observed in the final state. They are important ingredients in QCD factorization for processes where a particle is produced…

High Energy Physics - Phenomenology · Physics 2020-01-08 X. P. Chai , K. B. Chen , J. P. Ma , X. B. Tong

Initial state evolution in parton shower event generators involves parton distribution functions. We examine the probability for the system to evolve from a higher scale to a lower scale without an initial state splitting. A simple argument…

High Energy Physics - Phenomenology · Physics 2020-07-24 Zoltán Nagy , Davison E. Soper

Diffractive parton distribution functions give the probability to find a parton in a hadron if the hadron is diffractively scattered. We provide an operator definition of these functions and discuss their relation to diffractive deeply…

High Energy Physics - Phenomenology · Physics 2014-11-17 Arjun Berera , Davison E. Soper

We introduce the neural network approach to the parametrization of parton distributions. After a general introduction, we present in detail our approach to parametrize experimental data, based on a combination of Monte Carlo methods and…

High Energy Physics - Phenomenology · Physics 2007-05-23 Joan Rojo

We study the uncertainties of Sudakov form factors as the basis for parton shower evolution in Monte Carlo event generators. We discuss the particular cases of systematic uncertainties of parton distribution functions and scale…

High Energy Physics - Phenomenology · Physics 2009-11-10 Stefan Gieseke

We describe a new method to extract parton distribution functions from hard scattering processes based on Self-Organizing Maps. The extension to a larger, and more complex class of soft matrix elements, including generalized parton…

High Energy Physics - Phenomenology · Physics 2015-06-03 S. Liuti , K. Holcomb , E. Askanazi

We briefly review the use of the order parameter probability distribution function as a useful tool to obtain the critical properties of statistical mechanical models using computer Monte Carlo simulations. Some simple discrete spin…

Statistical Mechanics · Physics 2015-06-11 J. A. Plascak , P. H. L. Martins

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

We propose a method to examine how a parton shower sums large logarithms. In this method, one works with an appropriate integral transform of the distribution for the observable of interest. Then, one reformulates the parton shower so as to…

High Energy Physics - Phenomenology · Physics 2021-10-04 Zoltan Nagy , Davison E. Soper

Standard parton distribution function sets do not have rigorously quantified uncertainties. In recent years it has become apparent that these uncertainties play an important role in the interpretation of hadron collider data. In this paper,…

High Energy Physics - Phenomenology · Physics 2009-10-31 Walter T. Giele , Stephane Keller

A Monte-Carlo event-generator has been developed which is dedicated to simulate electron-positron annihilations. Especially a new approach for the combination of matrix elements and parton showers ensures the independence of the…

High Energy Physics - Phenomenology · Physics 2017-08-23 R. Kuhn , A. Schaelicke , F. Krauss , G. Soff

We study the mismatch between a full calculation of non-global single-logarithms in the large-N_c limit and an approximation based on free azimuthal averaging, and the consequent angular-ordered pattern of soft gluon radiation in QCD. We…

High Energy Physics - Phenomenology · Physics 2010-10-27 Andrea Banfi , Gennaro Corcella , Mrinal Dasgupta