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Analysis of Unintegrated Parton Distributions in Quantum Chromodynamics

Analysis of Unintegrated Parton Distributions in Quantum Chromodynamics
Author: Edgar Elias
Publisher:
Total Pages:
Release: 2017
Genre:
ISBN:

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The Large Hadron Collider at CERN is currently the most powerful particle collider. It collides protons at the center of mass energy of 13 TeV. At such high energies parton densities in both protons are extremely high. This leads to the enhanced probability for multi-parton interactions. These are events in which more than one partonic interaction occurs per one nucleon collision. The multi-parton interactions, which are characterized by a hard scale, can be described in QCD by means of double parton distributions. In this thesis we propose a construction of the double unintegrated parton distribution functions which, in addition to the longitudinal momentum fractions, include the dependence on the transverse momenta of partons. To this aim, we extend the formalism that was used previously for the single unintegrated parton distribution functions. Starting from the homogeneous part of the equation for the integrated double parton distribution function, we construct the double unintegrated parton distribution functions which are the convolutions of the integrated parton densities and the Sudakov form factor. We present first numerical studies of these distributions. In particular, double unintegrated parton density functions are studied as a function of the transverse momenta for fixed scales and fixed values of the longitudinal momentum fractions. We also discuss the numerical methods used for the calculation of these double unintegrated parton distribution functions.


New Parton Distribution Functions from a Global Analysis of Quantum Chromodynamics

New Parton Distribution Functions from a Global Analysis of Quantum Chromodynamics
Author:
Publisher:
Total Pages:
Release: 2016
Genre:
ISBN:

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Here, we present new parton distribution functions (PDFs) up to next-to-next-to-leading order (NNLO) from the CTEQ-TEA global analysis of quantum chromodynamics. These differ from previous CT PDFs in several respects, including the use of data from LHC experiments and the new D0 charged lepton rapidity asymmetry data, as well as the use of more flexible parametrization of PDFs that, in particular, allows a better fit to different combinations of quark flavors. Predictions for important LHC processes, especially Higgs boson production at 13 TeV, are presented. These CT14 PDFs include a central set and error sets in the Hessian representation. For completeness, we also present the CT14 PDFs determined at the leading order (LO) and the next-to-leading order (NLO) in QCD. Besides these general-purpose PDF sets, we provide a series of (N)NLO sets with various [alpha]s values and additional sets in general-mass variable flavor number (GM-VFN) schemes, to deal with heavy partons, with up to 3, 4, and 6 active flavors.


Parton Densities in Quantum Chromodynamics

Parton Densities in Quantum Chromodynamics
Author: Igor Olegovich Cherednikov
Publisher: Walter de Gruyter GmbH & Co KG
Total Pages: 260
Release: 2016-11-21
Genre: Science
ISBN: 3110430681

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The purpose of this book is to give a systematic pedagogical exposition of the quantitative analysis of Wilson lines and gauge-invariant correlation functions in quantum chromodynamics. Using techniques from the previous volume (Wilson Lines in Quantum Field Theory, 2014), an ab initio methodology is developed and practical tools for its implementation are presented. Emphasis is put on the implications of gauge invariance and path-dependence properties of transverse-momentum dependent parton density functions. The latter are associated with the QCD factorization approach to semi-inclusive hadronic processes, studied at currently operating and planned experimental facilities. Contents: Introduction Particle Number Operators in Quantum Mechanics and in Quantum Field Theory Geometry of Quantum Field Theories Basics of Wilson Lines in QCD Gauge-Invariant Parton Densities Simplifying Wilson Line Calculations Brief Literature Guide Conventions and Reference Formulae Integrations Bibliography Index


Perturbative Quantum Chromodynamics

Perturbative Quantum Chromodynamics
Author: A. H. Mueller
Publisher: World Scientific
Total Pages: 626
Release: 1989
Genre: Science
ISBN: 9789971505646

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This book will be of great interest to advanced students and researchers in the area of high energy theoretical physics. Being the most complete and updated review volume on Perturbative QCD, it serves as an extremely useful textbook or reference book. Some of the reviews in this volume are the best that have been written on the subject anywhere.


Parton Densities in Quantum Chromodynamics

Parton Densities in Quantum Chromodynamics
Author: Igor Olegovich Cherednikov
Publisher: Walter de Gruyter GmbH & Co KG
Total Pages: 226
Release: 2016-11-21
Genre: Science
ISBN: 3110430606

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The purpose of this book is to give a systematic pedagogical exposition of the quantitative analysis of Wilson lines and gauge-invariant correlation functions in quantum chromodynamics. Using techniques from the previous volume (Wilson Lines in Quantum Field Theory, 2014), an ab initio methodology is developed and practical tools for its implementation are presented. Emphasis is put on the implications of gauge invariance and path-dependence properties of transverse-momentum dependent parton density functions. The latter are associated with the QCD factorization approach to semi-inclusive hadronic processes, studied at currently operating and planned experimental facilities. Contents: Introduction Particle Number Operators in Quantum Mechanics and in Quantum Field Theory Geometry of Quantum Field Theories Basics of Wilson Lines in QCD Gauge-Invariant Parton Densities Simplifying Wilson Line Calculations Brief Literature Guide Conventions and Reference Formulae Integrations Bibliography Index


Analysis of the Double Parton Distribution Functions in Quantum Chromodynamics

Analysis of the Double Parton Distribution Functions in Quantum Chromodynamics
Author: Zachary Snyder
Publisher:
Total Pages:
Release: 2015
Genre:
ISBN:

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We demonstrate the mathematical formalism for the construction of consistent initial conditions for the double parton distribution functions in the collinear approximation. The initial conditions within this framework have an important property that they exactly and simultaneously satisfy both the momentum sum rule and the quark number sum rule. Furthermore, in this formalism, the double parton distribution's functional behavior is related to the single parton distribution functions. We find that this condition imposes certain relations on the large and small x behavior of both single and double parton distribution functions. By making use of the Mellin transformation we analytically solve the evolution equation at leading logarithmic order for the gluon channel double parton distribution function. Furthermore, we illustrate the double parton correlations for the gluon channel and show how they change with the evolution scale.


Overview of Parton Distributions and the Quantum Chromodynamics (QCD) Framework

Overview of Parton Distributions and the Quantum Chromodynamics (QCD) Framework
Author:
Publisher:
Total Pages: 20
Release: 1990
Genre:
ISBN:

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The perturbative QCD framework as the basis of the parton model is reviewed with emphasis on several issues pertinent to next-to-leading order (NLO) applications to a wide range of high energy processes. The current status of leading-order and NLO parton distributions is summarized and evaluated. Relevant issues and open questions for second-generation global analyses are discussed in order to provide an overview of topics to be covered by the Workshop. 15 refs., 6 figs., 1 tabs.


Quantum Chromodynamics at High Energy

Quantum Chromodynamics at High Energy
Author: Yuri V. Kovchegov
Publisher: Cambridge University Press
Total Pages: 351
Release: 2012-08-30
Genre: Science
ISBN: 0521112575

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The first book entirely dedicated to high energy QCD including parton saturation and CGC, covering the last several decades of development.


Quantum Chromodynamics

Quantum Chromodynamics
Author: Anne Mosher
Publisher:
Total Pages: 586
Release: 1980
Genre: Particles (Nuclear physics)
ISBN:

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Quantum Chromodynamics

Quantum Chromodynamics
Author: B. L. Ioffe
Publisher: Cambridge University Press
Total Pages: 597
Release: 2010-01-21
Genre: Science
ISBN: 1139484850

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Aimed at graduate students and researchers in theoretical physics, this book presents the modern theory of strong interaction: quantum chromodynamics (QCD). The book exposes various perturbative and nonperturbative approaches to the theory, including chiral effective theory, the problems of anomalies, vacuum tunnel transitions, and the problem of divergence of the perturbative series. The QCD sum rules approach is exposed in detail. A great variety of hadronic properties (masses of mesons and baryons, magnetic moments, form factors, quark distributions in hadrons, etc.) have been found using this method. The evolution of hadronic structure functions is presented in detail, together with polarization phenomena. The problem of jets in QCD is treated through theoretical description and experimental observation. The connection with Regge theory is emphasized. The book covers many aspects of theory which are not discussed in other books, such as CET, QCD sum rules, and BFKL.