Modern Analytic Methods For Computing Scattering Amplitudes

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Modern Analytic Methods For Computing Scattering Amplitudes

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Author : Simone Zoia
language : en
Publisher:
Release Date : 2022

Modern Analytic Methods For Computing Scattering Amplitudes written by Simone Zoia and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022 with categories.

This work presents some essential techniques that constitute the modern strategy for computing scattering amplitudes. It begins with an introductory chapter to fill the gap between a standard QFT course and the latest developments in the field. The author then tackles the main bottleneck: the computation of the loop Feynman integrals. The most efficient technique for their computation is the method of the differential equations. This is discussed in detail, with a particular focus on the mathematical aspects involved in the derivation of the differential equations and their solution. Ample space is devoted to the special functions arising from the differential equations, to their analytic properties, and to the mathematical techniques which allow us to handle them systematically. The thesis also addresses the application of these techniques to a cutting-edge problem of importance for the physics programme of the Large Hadron Collider: five-particle amplitudes at two-loop order. It presents the first analytic results for complete two-loop five-particle amplitudes, in supersymmetric theories and QCD. The techniques discussed here open the door to precision phenomenology for processes of phenomenological interest, such as three-photon, three-jet, and di-photon + jet production.sses of phenomenological interest, such as three-photon, three-jet, and di-photon + jet production.

Modern Analytic Methods For Computing Scattering Amplitudes

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Author : Simone Zoia
language : en
Publisher: Springer Nature
Release Date : 2022-05-18

Modern Analytic Methods For Computing Scattering Amplitudes written by Simone Zoia and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-05-18 with Science categories.

This work presents some essential techniques that constitute the modern strategy for computing scattering amplitudes. It begins with an introductory chapter to fill the gap between a standard QFT course and the latest developments in the field. The author then tackles the main bottleneck: the computation of the loop Feynman integrals. The most efficient technique for their computation is the method of the differential equations. This is discussed in detail, with a particular focus on the mathematical aspects involved in the derivation of the differential equations and their solution. Ample space is devoted to the special functions arising from the differential equations, to their analytic properties, and to the mathematical techniques which allow us to handle them systematically. The thesis also addresses the application of these techniques to a cutting-edge problem of importance for the physics programme of the Large Hadron Collider: five-particle amplitudes at two-loop order. It presents the first analytic results for complete two-loop five-particle amplitudes, in supersymmetric theories and QCD. The techniques discussed here open the door to precision phenomenology for processes of phenomenological interest, such as three-photon, three-jet, and di-photon + jet production.

Journeys Through The Precision Frontier Amplitudes For Colliders Tasi 2014 Proceedings Of The 2014 Theoretical Advanced Study Institute In Elementary Particle Physics

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Author : Lance Dixon
language : en
Publisher: World Scientific
Release Date : 2015-09-17

Journeys Through The Precision Frontier Amplitudes For Colliders Tasi 2014 Proceedings Of The 2014 Theoretical Advanced Study Institute In Elementary Particle Physics written by Lance Dixon and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-09-17 with Science categories.

This volume is a compilation of the lectures at TASI 2014. The coverage focuses on modern calculational techniques for scattering amplitudes, and on the phenomenology of QCD in hadronic collisions. Introductions to flavor physics, dark matter, and physics beyond the Standard Model are also provided. The lectures are accessible to graduate students at the initial stages of their research careers.

Scattering Amplitudes In Gauge Theories

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Author : Johannes M. Henn
language : en
Publisher: Springer
Release Date : 2014-02-07

Scattering Amplitudes In Gauge Theories written by Johannes M. Henn and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-02-07 with Science categories.

At the fundamental level, the interactions of elementary particles are described by quantum gauge field theory. The quantitative implications of these interactions are captured by scattering amplitudes, traditionally computed using Feynman diagrams. In the past decade tremendous progress has been made in our understanding of and computational abilities with regard to scattering amplitudes in gauge theories, going beyond the traditional textbook approach. These advances build upon on-shell methods that focus on the analytic structure of the amplitudes, as well as on their recently discovered hidden symmetries. In fact, when expressed in suitable variables the amplitudes are much simpler than anticipated and hidden patterns emerge. These modern methods are of increasing importance in phenomenological applications arising from the need for high-precision predictions for the experiments carried out at the Large Hadron Collider, as well as in foundational mathematical physics studies on the S-matrix in quantum field theory. Bridging the gap between introductory courses on quantum field theory and state-of-the-art research, these concise yet self-contained and course-tested lecture notes are well-suited for a one-semester graduate level course or as a self-study guide for anyone interested in fundamental aspects of quantum field theory and its applications. The numerous exercises and solutions included will help readers to embrace and apply the material present ed in the main text.

Scattering Amplitudes In Quantum Field Theory

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Author : Simon Badger
language : en
Publisher: Springer Nature
Release Date : 2023-12-31

Scattering Amplitudes In Quantum Field Theory written by Simon Badger and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-12-31 with Science categories.

This open access book bridges a gap between introductory Quantum Field Theory (QFT) courses and state-of-the-art research in scattering amplitudes. It covers the path from basic definitions of QFT to amplitudes, which are relevant for processes in the Standard Model of particle physics. The book begins with a concise yet self-contained introduction to QFT, including perturbative quantum gravity. It then presents modern methods for calculating scattering amplitudes, focusing on tree-level amplitudes, loop-level integrands and loop integration techniques. These methods help to reveal intriguing relations between gauge and gravity amplitudes and are of increasing importance for obtaining high-precision predictions for collider experiments, such as those at the Large Hadron Collider, as well as for foundational mathematical physics studies in QFT, including recent applications to gravitational wave physics.These course-tested lecture notes include numerous exercises with solutions. Requiring only minimal knowledge of QFT, they are well-suited for MSc and PhD students as a preparation for research projects in theoretical particle physics. They can be used as a one-semester graduate level course, or as a self-study guide for researchers interested in fundamental aspects of quantum field theory.

Dissertation Abstracts International

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Author :
language : en
Publisher:
Release Date : 2001

Dissertation Abstracts International written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 with Dissertations, Academic categories.

Modern Analytic Methods For Scattering Amplitudes With An Application To Two Loop Five Particle Processes

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Author : Simone Zoia
language : en
Publisher:
Release Date : 2021

Modern Analytic Methods For Scattering Amplitudes With An Application To Two Loop Five Particle Processes written by Simone Zoia and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021 with categories.

Nuclear Science Abstracts

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Author :
language : en
Publisher:
Release Date : 1974

Nuclear Science Abstracts written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1974 with Nuclear energy categories.

European Scientific Notes

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Author :
language : en
Publisher:
Release Date : 1982

European Scientific Notes written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1982 with Science categories.

Encyclopaedia Of Mathematics

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Author : Michiel Hazewinkel
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Encyclopaedia Of Mathematics written by Michiel Hazewinkel and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.

This ENCYCLOPAEDIA OF MATHEMATICS aims to be a reference work for all parts of mathe matics. It is a translation with updates and editorial comments of the Soviet Mathematical Encyclopaedia published by 'Soviet Encyclopaedia Publishing House' in five volumes in 1977-1985. The annotated translation consists of ten volumes including a special index volume. There are three kinds of articles in this ENCYCLOPAEDIA. First of all there are survey-type articles dealing with the various main directions in mathematics (where a rather fine subdivi sion has been used). The main requirement for these articles has been that they should give a reasonably complete up-to-date account of the current state of affairs in these areas and that they should be maximally accessible. On the whole, these articles should be understandable to mathematics students in their first specialization years, to graduates from other mathematical areas and, depending on the specific subject, to specialists in other domains of science, en gineers and teachers of mathematics. These articles treat their material at a fairly general level and aim to give an idea of the kind of problems, techniques and concepts involved in the area in question. They also contain background and motivation rather than precise statements of precise theorems with detailed definitions and technical details on how to carry out proofs and constructions. The second kind of article, of medium length, contains more detailed concrete problems, results and techniques.