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Author: Raymond Goerke Publisher: ISBN: Category : Languages : en Pages :
Book Description
In this thesis a new formalism for Soft Collinear Effective Theory (SCET) is developed and a new calculation relevant to high-precision studies of Quantum Chromodynamics (QCD) involving the summation of Sudakov double logarithms is presented. The new formalism of SCET possesses certain desirable properties not manifest in the standard SCET formalism and is constructed in a framework consistent with the traditional effective field theory perspective. In particular, effective theory operators are organized in an expansion of inverse powers of the matching scale such that operator power counting is determined solely by dimensional analysis rather than requiring the introduction of an abstract power-counting parameter. In contrast to the standard formalism, the infrared degrees of freedom in the effective theory are not subdivided into separate modes determined by relative momentum scaling. The lack of separate collinear and ultrasoft modes is combined with a new subtraction prescription which plays the role of the zero-bin subtraction in the standard formalism. The distinction between different sources of subleading corrections in the effective theory is clarified in this formalism, allowing for a simpler organization of the calculation of these subleading corrections. This formalism is first demonstrated by applying it to the study of Deep Inelastic Scattering (DIS) in the endpoint limit, a process which has been treated several times using SCET. The result and intermediate steps of this calculation are contrasted with previous treatments to demonstrate the relevant features of the new formalism. Next, the calculation of subleading corrections to event shape distributions is addressed. An original calculation of operator anomalous dimensions is presented which will form the basis of future work addressing the current discrepancy in global determinations of the strong coupling constant.
Author: Raymond Goerke Publisher: ISBN: Category : Languages : en Pages :
Book Description
In this thesis a new formalism for Soft Collinear Effective Theory (SCET) is developed and a new calculation relevant to high-precision studies of Quantum Chromodynamics (QCD) involving the summation of Sudakov double logarithms is presented. The new formalism of SCET possesses certain desirable properties not manifest in the standard SCET formalism and is constructed in a framework consistent with the traditional effective field theory perspective. In particular, effective theory operators are organized in an expansion of inverse powers of the matching scale such that operator power counting is determined solely by dimensional analysis rather than requiring the introduction of an abstract power-counting parameter. In contrast to the standard formalism, the infrared degrees of freedom in the effective theory are not subdivided into separate modes determined by relative momentum scaling. The lack of separate collinear and ultrasoft modes is combined with a new subtraction prescription which plays the role of the zero-bin subtraction in the standard formalism. The distinction between different sources of subleading corrections in the effective theory is clarified in this formalism, allowing for a simpler organization of the calculation of these subleading corrections. This formalism is first demonstrated by applying it to the study of Deep Inelastic Scattering (DIS) in the endpoint limit, a process which has been treated several times using SCET. The result and intermediate steps of this calculation are contrasted with previous treatments to demonstrate the relevant features of the new formalism. Next, the calculation of subleading corrections to event shape distributions is addressed. An original calculation of operator anomalous dimensions is presented which will form the basis of future work addressing the current discrepancy in global determinations of the strong coupling constant.
Author: Thomas Becher Publisher: Springer ISBN: 3319148486 Category : Science Languages : en Pages : 214
Book Description
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.
Author: Andrzej J. Buras Publisher: Cambridge University Press ISBN: 1108882757 Category : Science Languages : en Pages : 739
Book Description
This is the first advanced, systematic and comprehensive look at weak decays in the framework of gauge theories. Included is a large spectrum of topics, both theoretical and experimental. In addition to explicit advanced calculations of Feynman diagrams and the study of renormalization group strong interaction effects in weak decays, the book is devoted to the Standard Model Effective Theory, dominating present phenomenology in this field, and to new physics models with the goal of searching for new particles and interactions through quantum fluctuations. This book will benefit theorists, experimental researchers, and Ph.D. students working on flavour physics and weak decays as well as physicists interested in physics beyond the Standard Model. In its concern for the search for new phenomena at short distance scales through the interplay between theory and experiment, this book constitutes a travel guide to physics far beyond the scales explored by the Large Hadron Collider at CERN.
Author: Andrew Hornig Publisher: ISBN: Category : Languages : en Pages : 376
Book Description
Factorization is the central ingredient in any theoretical prediction for collider experiments. I introduce a factorization formalism that can be applied to any desired observable, like event shapes or jet observables, for any number of jets and a wide range of jet algorithms in leptonic or hadronic collisions. This is achieved by using soft-collinear effective theory to prove the formal factorization of a generic fully-differential cross section in terms of a hard coefficient, and generic jet and soft functions. The factorization formula for any such observable immediately follows from our general result, including the precise definition of the functions appropriate for the observable in question. As a first application, I present a new prediction of angularity distributions in e+e- annihilation. Angularities tau_a are an infinite class of event shapes which vary in their sensitivity to the substructure of jets in the final state, controlled by a continuous parameter a
Author: Matthew D. Schwartz Publisher: Cambridge University Press ISBN: 1107034736 Category : Science Languages : en Pages : 869
Book Description
A modern introduction to quantum field theory for graduates, providing intuitive, physical explanations supported by real-world applications and homework problems.
Author: John Collins Publisher: Cambridge University Press ISBN: 1139500627 Category : Science Languages : en Pages : 637
Book Description
Giving an accurate account of the concepts, theorems and their justification, this book is a systematic treatment of perturbative QCD. It relates the concepts to experimental data, giving strong motivations for the methods. Ideal for graduate students starting their work in high-energy physics, it will also interest experienced researchers.
Author: Alexey A. Petrov Publisher: World Scientific ISBN: 9814434930 Category : Science Languages : en Pages : 318
Book Description
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.
Author: Michael E. Peskin Publisher: CRC Press ISBN: 0429983182 Category : Science Languages : en Pages : 866
Book Description
An Introduction to Quantum Field Theory is a textbook intended for the graduate physics course covering relativistic quantum mechanics, quantum electrodynamics, and Feynman diagrams. The authors make these subjects accessible through carefully worked examples illustrating the technical aspects of the subject, and intuitive explanations of what is going on behind the mathematics. After presenting the basics of quantum electrodynamics, the authors discuss the theory of renormalization and its relation to statistical mechanics, and introduce the renormalization group. This discussion sets the stage for a discussion of the physical principles that underlie the fundamental interactions of elementary particle physics and their description by gauge field theories.
Author: John Campbell Publisher: Oxford University Press ISBN: 0199652740 Category : Science Languages : en Pages : 760
Book Description
This title provides an in-depth introduction to the particle physics of current and future experiments at particle accelerators. The text provides the reader with an overview of practically all aspects of the strong interaction necessary to understand and appreciate modern particle phenomenology at the energy frontier.
Author: Raymond Goerke
Author: Raymond Goerke
Author: Thomas Becher
Author: Andrzej J. Buras
Author: Andrew Hornig
Author: Aneesh V. Manohar
Author: Matthew D. Schwartz
Author: John Collins
Author: Alexey A. Petrov
Author: Michael E. Peskin
Author: John Campbell