Mellin-Barnes Integrals

A Primer on Particle Physics Applications

von Ievgen Dubovyk, Janusz Gluza, Gábor Somogyi

283 Seiten, Taschenbuch

Kurzbeschreibung des Verlags

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.

• Reihe: Lecture Notes in Physics
• ISBN: 9783031142710
• Sprache: Englisch
• Erscheinungsdatum: 16.12.2022
• Genre: Physik, Astronomie/Theoretische Physik
• Verlag: Springer International Publishing