Mellin-Barnes integrals [electronic resource] : a primer to particle physics applications / Ievgen Dubovyk, Janusz Gluza, Gábor Somogyi.

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Mellin-Barnes integrals [electronic resource] : a primer to particle physics applications / Ievgen Dubovyk, Janusz Gluza, Gábor Somogyi.

9783031142727 (electronic bk.)
3031142721 (electronic bk.)
3031142713
9783031142710

Cham, Switzerland : Springer, 2022.

English

1 online resource.

10.1007/978-3-031-14272-7 doi

QC20.7.I58

530.15543

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.

Includes bibliographical references.

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Online resource; title from PDF title page (SpringerLink, viewed January 3, 2023).

Lecture notes in physics ; 1008.

Print version: 9783031142710

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