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Effective Field Theory Techniques for Resummation in Jet Physics

Effective Field Theory Techniques for Resummation in Jet Physics
Author: Nicholas Daniel Dunn
Publisher:
Total Pages: 178
Release: 2012
Genre:
ISBN:

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In this thesis, we present several new techniques for the resummation of observables relevant to jet physics at the LHC using effective field theory techniques. Specifically, we first derive the factorization theorem and calculate the generic soft function for N-jet threshold resummation. This allows for dynamic threshold resummation at hadron colliders, where parton distribution functions may enhance threshold effects. Then we develop a new metric to gauge the importance of threshold resummation in a process-independent manner. This also allows us to determine the relevant scales for threshold resummation without the introduction of an arbitrary procedure. Next, we present a new subtraction technique for the calculation of soft functions with complex phase space boundaries. This technique is especially useful in calculations involving eta-phi jet algorithms, which are common at hadron colliders. Finally, we discuss a new regularization scheme for real emission diagrams and present an example of said scheme.


Effective Field Theories

Effective Field Theories
Author: Alexey A Petrov
Publisher: World Scientific
Total Pages: 318
Release: 2015-11-18
Genre: Science
ISBN: 9814434949

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This book is a broad-based text intended to help the growing student body interested in constructing and applying methods of effective field theory to solve problems in their research. It begins with a review of using symmetries to identify the relevant degrees of freedom in a problem, and then presents a variety of methods that can be used to construct various effective theories. A detailed discussion of canonical applications of effective field theory techniques with increasing complexity is given, including Fermi's weak interaction, heavy-quark effective theory, and soft-collinear effective theory. Applications of these techniques to study physics beyond the standard model, dark matter, and quantum and classical gravity are explored. Although most examples come from questions in high-energy physics, many of the methods can also be applied in condensed-matter settings. Appendices include various factoids from group theory and other topics that are used throughout the text, in an attempt to make the book self-contained.


Effective Field Theory in Particle Physics and Cosmology

Effective Field Theory in Particle Physics and Cosmology
Author: Sacha Davidson
Publisher: Oxford University Press, USA
Total Pages: 806
Release: 2020-03-09
Genre: Science
ISBN: 0198855745

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The topic of the CVIII session of the Ecole de Physique des Houches, held in July 2017, was Effective Field Theory in Particle Physics and Cosmology. Effective Field Theory (EFT) is a general method for describing quantum systems with multiple length scales in a tractable fashion. It allows to perform precise calculations in established models (such as the Standard Models of particle physics and cosmology), as well as to concisely parametrise possible effects from physics beyond the Standard Models. The goal of this school was to offer a broad introduction to the foundations and modern applications of Effective Field Theory in many of its incarnations. This is all the more important as there are preciously few textbooks covering the subject, none of them in a complete way. In this book, the lecturers present the concepts in a pedagogical way so that readers can adapt some of the latest developments to their own problems. The chapters cover almost all the lectures given at the school and will serve as an introduction to the topic and as a reference manual to students and researchers.


Effective Field Theory in Particle Physics and Cosmology

Effective Field Theory in Particle Physics and Cosmology
Author: Sacha Davidson
Publisher: Oxford University Press
Total Pages: 400
Release: 2020-04-20
Genre: Science
ISBN: 0192597760

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The topic of the CVIII session of the Ecole de Physique des Houches, held in July 2017, was Effective Field Theory in Particle Physics and Cosmology. Effective Field Theory (EFT) is a general method for describing quantum systems with multiple length scales in a tractable fashion. It allows to perform precise calculations in established models (such as the Standard Models of particle physics and cosmology), as well as to concisely parametrise possible effects from physics beyond the Standard Models. The goal of this school was to offer a broad introduction to the foundations and modern applications of Effective Field Theory in many of its incarnations. This is all the more important as there are preciously few textbooks covering the subject, none of them in a complete way. In this book, the lecturers present the concepts in a pedagogical way so that readers can adapt some of the latest developments to their own problems. The chapters cover almost all the lectures given at the school and will serve as an introduction to the topic and as a reference manual to students and researchers.


Introduction to Soft-Collinear Effective Theory

Introduction to Soft-Collinear Effective Theory
Author: Thomas Becher
Publisher: Springer
Total Pages: 214
Release: 2015-03-04
Genre: Science
ISBN: 3319148486

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Among resummation techniques for perturbative QCD in the context of collider and flavor physics, soft-collinear effective theory (SCET) has emerged as both a powerful and versatile tool, having been applied to a large variety of processes, from B-meson decays to jet production at the LHC. This book provides a concise, pedagogical introduction to this technique. It discusses the expansion of Feynman diagrams around the high-energy limit, followed by the explicit construction of the effective Lagrangian - first for a scalar theory, then for QCD. The underlying concepts are illustrated with the quark vector form factor at large momentum transfer, and the formalism is applied to compute soft-gluon resummation and to perform transverse-momentum resummation for the Drell-Yan process utilizing renormalization group evolution in SCET. Finally, the infrared structure of n-point gauge-theory amplitudes is analyzed by relating them to effective-theory operators. This text is suitable for graduate students and non-specialist researchers alike as it requires only basic knowledge of perturbative QCD.


Effective Field Theories

Effective Field Theories
Author: Ulf-G Meißner
Publisher: Cambridge University Press
Total Pages: 625
Release: 2022-08-25
Genre: Science
ISBN: 1108476988

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A detailed and comprehensive exploration of the foundations and fundamentals of effective field theories.


Basics of Thermal Field Theory

Basics of Thermal Field Theory
Author: Mikko Laine
Publisher: Springer
Total Pages: 288
Release: 2016-06-09
Genre: Science
ISBN: 3319319337

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This book presents thermal field theory techniques, which can be applied in both cosmology and the theoretical description of the QCD plasma generated in heavy-ion collision experiments. It focuses on gauge interactions (whether weak or strong), which are essential in both contexts. As well as the many differences in the physics questions posed and in the microscopic forces playing a central role, the authors also explain the similarities and the techniques, such as the resummations, that are needed for developing a formally consistent perturbative expansion. The formalism is developed step by step, starting from quantum mechanics; introducing scalar, fermionic and gauge fields; describing the issues of infrared divergences; resummations and effective field theories; and incorporating systems with finite chemical potentials. With this machinery in place, the important class of real-time (dynamic) observables is treated in some detail. This is followed by an overview of a number of applications, ranging from the study of phase transitions and particle production rate computations, to the concept of transport and damping coefficients that play a ubiquitous role in current developments. The book serves as a self-contained textbook on relativistic thermal field theory for undergraduate and graduate students of theoretical high-energy physics.


Field Theory: A Path Integral Approach

Field Theory: A Path Integral Approach
Author: Ashok Das
Publisher: World Scientific
Total Pages: 417
Release: 1993-11-26
Genre:
ISBN: 981450419X

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New Edition: Field Theory (3rd Edition)Traditionally, field theory is taught through canonical quantization with a heavy emphasis on high energy physics. However, the techniques of field theory are applicable as well and are extensively used in various other areas of physics such as condensed matter, nuclear physics and statistical mechanics. The path integral approach brings out this feature most clearly. In this book, the path integral approach is developed in detail completely within the context of quantum mechanics. Subsequently, it is applied to various areas of physics.


Introduction to Effective Field Theory

Introduction to Effective Field Theory
Author: C. P. Burgess
Publisher: Cambridge University Press
Total Pages: 665
Release: 2020-12-10
Genre: Science
ISBN: 1108915892

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Using examples from across the sub-disciplines of physics, this introduction shows why effective field theories are the language in which physical laws are written. The tools of effective field theory are demonstrated using worked examples from areas including particle, nuclear, atomic, condensed matter and gravitational physics. To bring the subject within reach of scientists with a wide variety of backgrounds and interests, there are clear physical explanations, rigorous derivations, and extensive appendices on background material, such as quantum field theory. Starting from undergraduate-level quantum mechanics, the book gets to state-of-the-art calculations using both relativistic and nonrelativistic few-body and many-body examples, and numerous end-of-chapter problems derive classic results not covered in the main text. Graduate students and researchers in particle physics, condensed matter physics, nuclear physics, string theory, and mathematical physics more generally, will find this book ideal for both self-study and for organized courses on effective field theory.