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Mellin-Barnes integrals : a primer to particle physics applications / Ievgen Dubovyk, Janusz Gluza, Gábor Somogyi.
- Format:
- Book
- Author/Creator:
- Dubovyk, Ievgen, author.
- Gluza, Janusz, author.
- Somogyi, Gábor, author.
- Series:
- Lecture notes in physics ; 1008.
- Lecture notes in physics ; v. 1008
- Language:
- English
- Subjects (All):
- Mathematical physics.
- H-functions.
- Genre:
- Electronic books.
- Physical Description:
- 1 online resource.
- Place of Publication:
- Cham, Switzerland : Springer, 2022.
- Summary:
- 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.
- Contents:
- Introduction
- Complex Analysis
- Mellin-Barnes Representations for Feynman and Related Integrals
- Resolution of Singularities
- Analytic Solutions
- Approximations
- Numerical Methods.
- Notes:
- Includes bibliographical references.
- Online resource; title from PDF title page (SpringerLink, viewed January 3, 2023).
- ISBN:
- 9783031142727
- 3031142721
- OCLC:
- 1355267655
- Access Restriction:
- Restricted for use by site license.
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