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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.


Rigorous Fit to the Peak Region of the Thrust Distribution

Rigorous Fit to the Peak Region of the Thrust Distribution
Author: Prouty. Jeffrey C.
Publisher:
Total Pages: 53
Release: 2014
Genre:
ISBN:

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We continue the work of Abbate et al. in [1], in which a factorization formula for the thrust distribution in electron-positron collisions was developed in the framework of soft-collinear effective theory. We extend the analysis of thrust to the peak region of the distribution, in which a nonperturbative soft function encoding the effects of large-angle soft gluon radiation plays a significant role. We write the soft function as an infinite sum of basis functions and use a truncated version in our calculations, allowing us to fit for the basis coefficients ci with all available thrust data from center-of-mass energies Q = 35 to 207 GeV. To characterize the soft function independently of a particular parameterization, we present fit results for its cumulant moments, denoted [Omega]1, up to i = 4. We compute experimental uncertainties from the fits and theory uncertainties using a random scan in the space of the undetermined parameters of the theory. Our approach significantly improves the fit in the peak region, reducing the minimum X2/d.o.f. value from to 5.29 using the best fit form the tail region without fitting basis functions, to 1.23 using five basis functions. We find [Omega]1 = 0.387 ± (0.003)exp ±(0.026)pert GeV, indicating that the peak region determines [Omega] with considerably more precision than the tail. For the second cumulant moment, we find [Omega]'2 = 0.032 ± (0.002)exp ± (0.011)pert GeV2 . We also estimate the third and fourth cumulant moments, obtaining [Omega]'3 = [3.5 ± (0.7)expt ±(2.3)pert] x 10- GeV 3 and [Omega]'4 = [-0.7 ± (3 .8)exp ± (11.9)pert] X 10-4 GeV4.


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.


Looking Inside Jets

Looking Inside Jets
Author: Simone Marzani
Publisher: Springer
Total Pages: 205
Release: 2019-05-11
Genre: Science
ISBN: 3030157091

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This concise primer reviews the latest developments in the field of jets. Jets are collinear sprays of hadrons produced in very high-energy collisions, e.g. at the LHC or at a future hadron collider. They are essential to and ubiquitous in experimental analyses, making their study crucial. At present LHC energies and beyond, massive particles around the electroweak scale are frequently produced with transverse momenta that are much larger than their mass, i.e., boosted. The decay products of such boosted massive objects tend to occupy only a relatively small and confined area of the detector and are observed as a single jet. Jets hence arise from many different sources and it is important to be able to distinguish the rare events with boosted resonances from the large backgrounds originating from Quantum Chromodynamics (QCD). This requires familiarity with the internal properties of jets, such as their different radiation patterns, a field broadly known as jet substructure. This set of notes begins by providing a phenomenological motivation, explaining why the study of jets and their substructure is of particular importance for the current and future program of the LHC, followed by a brief but insightful introduction to QCD and to hadron-collider phenomenology. The next section introduces jets as complex objects constructed from a sequential recombination algorithm. In this context some experimental aspects are also reviewed. Since jet substructure calculations are multi-scale problems that call for all-order treatments (resummations), the bases of such calculations are discussed for simple jet quantities. With these QCD and jet physics ingredients in hand, readers can then dig into jet substructure itself. Accordingly, these notes first highlight the main concepts behind substructure techniques and introduce a list of the main jet substructure tools that have been used over the past decade. Analytic calculations are then provided for several families of tools, the goal being to identify their key characteristics. In closing, the book provides an overview of LHC searches and measurements where jet substructure techniques are used, reviews the main take-home messages, and outlines future perspectives.


Foundations of Perturbative QCD

Foundations of Perturbative QCD
Author: John Collins
Publisher: Cambridge University Press
Total Pages: 637
Release: 2011-04-28
Genre: Science
ISBN: 1139500627

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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.


The Black Book of Quantum Chromodynamics

The Black Book of Quantum Chromodynamics
Author: John Campbell
Publisher: Oxford University Press
Total Pages: 760
Release: 2018
Genre: Science
ISBN: 0199652740

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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.


Basics of Perturbative QCD

Basics of Perturbative QCD
Author: Yuri Dokshitzer
Publisher: Atlantica Séguier Frontières
Total Pages: 286
Release: 1991
Genre: Perturbation (Quantum dynamics).
ISBN: 9782863321010

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Wind Energy Explained

Wind Energy Explained
Author: James F. Manwell
Publisher: John Wiley & Sons
Total Pages: 704
Release: 2010-09-14
Genre: Technology & Engineering
ISBN: 9780470686287

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Wind energy’s bestselling textbook- fully revised. This must-have second edition includes up-to-date data, diagrams, illustrations and thorough new material on: the fundamentals of wind turbine aerodynamics; wind turbine testing and modelling; wind turbine design standards; offshore wind energy; special purpose applications, such as energy storage and fuel production. Fifty additional homework problems and a new appendix on data processing make this comprehensive edition perfect for engineering students. This book offers a complete examination of one of the most promising sources of renewable energy and is a great introduction to this cross-disciplinary field for practising engineers. “provides a wealth of information and is an excellent reference book for people interested in the subject of wind energy.” (IEEE Power & Energy Magazine, November/December 2003) “deserves a place in the library of every university and college where renewable energy is taught.” (The International Journal of Electrical Engineering Education, Vol.41, No.2 April 2004) “a very comprehensive and well-organized treatment of the current status of wind power.” (Choice, Vol. 40, No. 4, December 2002)


Elliptic Integrals, Elliptic Functions and Modular Forms in Quantum Field Theory

Elliptic Integrals, Elliptic Functions and Modular Forms in Quantum Field Theory
Author: Johannes Blümlein
Publisher: Springer
Total Pages: 509
Release: 2019-01-30
Genre: Computers
ISBN: 3030044807

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This book includes review articles in the field of elliptic integrals, elliptic functions and modular forms intending to foster the discussion between theoretical physicists working on higher loop calculations and mathematicians working in the field of modular forms and functions and analytic solutions of higher order differential and difference equations.