Mellin-Barnes Integrals : A Primer on Particle Physics Applications Paperback / softback

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.