In this book, the authors discuss the Mellin-Barnes representation of complex multidimensional integrals. Experiments frontiered by the High-Luminosity Large Hadron Collider at CERN and future collider projects demand the development of computational methods to achieve the theoretical precision required by experimental setups. In this regard, performing higher-order calculations in perturbative quantum field theory is of paramount importance. The Mellin-Barnes integrals technique has been successfully applied to the analytic and numerical analysis of integrals connected with virtual and real higher-order perturbative corrections to particle scattering. Easy-to-follow examples with the supplemental online material introduce the reader to the construction and the analytic, approximate, and numeric solution of Mellin-Barnes integrals in Euclidean and Minkowskian kinematic regimes. It also includes an overview of the state-of-the-art software packages for manipulating and evaluating Mellin-Barnes integrals. The book is meant for advanced students and young researchers to master the theoretical background needed to perform perturbative quantum field theory calculations.
| ISBN: | 9783031142710 |
| Publication date: | 16th December 2022 |
| Author: | Ievgen Dubovyk, Janusz Gluza, Gábor Somogyi |
| Publisher: | Springer International Publishing AG |
| Format: | Paperback |
| Pagination: | 283 pages |
| Series: | Lecture Notes in Physics |
| Genres: |
Particle and high-energy physics Mathematical physics Complex analysis, complex variables Applied mathematics |
In this book, the authors discuss the Mellin-Barnes representation of complex multidimensional integrals. Experiments frontiered by the High-Luminosity Large Hadron Collider at CERN and future collider projects demand the development of computational methods to achieve the theoretical precision required by experimental setups. In this regard, performing higher-order calculations in perturbative quantum field theory is of paramount importance. The Mellin-Barnes integrals technique has been successfully applied to the analytic and numerical analysis of integrals connected with virtual and real higher-order perturbative corrections to particle scattering. Easy-to-follow examples with the supplemental online material introduce the reader to the construction and the analytic, approximate, and numeric solution of Mellin-Barnes integrals in Euclidean and Minkowskian kinematic regimes. It also includes an overview of the state-of-the-art software packages for manipulating and evaluating Mellin-Barnes integrals. The book is meant for advanced students and young researchers to master the theoretical background needed to perform perturbative quantum field theory calculations.
Mellin-Barnes Integrals features in the following genres: Particle and high-energy physics, Mathematical physics, Complex analysis, complex variables, Applied mathematics
Mellin-Barnes Integrals is available in Paperback
Mellin-Barnes Integrals was written by Ievgen Dubovyk, Janusz Gluza, Gábor Somogyi and published by Springer International Publishing AG
Mellin-Barnes Integrals has 283 pages
Yes it is part of Lecture Notes in Physics series
£53.99