UID:
almahu_9949420059402882
Umfang:
XVIII, 283 p. 21 illus. in color.
,
online resource.
Ausgabe:
1st ed. 2022.
ISBN:
9783031142727
Serie:
Lecture Notes in Physics, 1008
Inhalt:
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.
Anmerkung:
Introduction -- Complex Analysis -- Mellin-Barnes Representations for Feynman and Related Integrals -- Resolution of Singularities -- Analytic Solutions -- Approximations -- Numerical Methods.
In:
Springer Nature eBook
Weitere Ausg.:
Printed edition: ISBN 9783031142710
Weitere Ausg.:
Printed edition: ISBN 9783031142734
Sprache:
Englisch
DOI:
10.1007/978-3-031-14272-7
URL:
https://doi.org/10.1007/978-3-031-14272-7
