Ievgen Dubovyk,Janusz Gluza,Gabor Somogyi
Mellin-Barnes Integrals: A Primer on Particle Physics Applications
Mellin-Barnes Integrals: A Primer on Particle Physics Applications
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- More about Mellin-Barnes Integrals: A Primer on Particle Physics Applications
The Mellin-Barnes representation of complex multidimensional integrals is discussed in this book, along with its application to the analytic and numerical analysis of integrals connected with higher-order perturbative corrections to particle scattering. It is intended for advanced students and young researchers to master the theoretical background needed to perform perturbative quantum field theory calculations.
Format: Paperback / softback
Length: 283 pages
Publication date: 16 December 2022
Publisher: Springer International Publishing AG
In this comprehensive book, the authors delve into the intricate realm of the Mellin-Barnes representation of complex multidimensional integrals. As experimental endeavors at the High-Luminosity Large Hadron Collider (HLLHC) at CERN and future collider projects strive for the theoretical precision demanded by experimental setups, the development of computational methods becomes crucial. In this context, the performance of higher-order calculations in perturbative quantum field theory assumes paramount importance. The Mellin-Barnes integrals technique has proven to be a powerful tool in the analytic and numerical analysis of integrals associated with virtual and real higher-order perturbative corrections to particle scattering. Through easy-to-follow examples accompanied by supplementary online material, the reader is introduced to the construction and analytical, approximate, and numerical solution of Mellin-Barnes integrals in Euclidean and Minkowskian kinematic regimes. Additionally, an overview of the state-of-the-art software packages for manipulating and evaluating Mellin-Barnes integrals is provided. This book is specifically designed for advanced students and young researchers seeking to master the theoretical background required for conducting perturbative quantum field theory calculations.
Weight: 468g
Dimension: 235 x 155 (mm)
ISBN-13: 9783031142710
Edition number: 1st ed. 2022
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