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Mellin-Barnes integralsa primer on particle physics applications /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Mellin-Barnes integralsby Ievgen Dubovyk, Janusz Gluza, Gabor Somogyi.
Reminder of title:	a primer on particle physics applications /
Author:	Dubovyk, Ievgen.
other author:	Gluza, Janusz.
Published:	Cham :Springer International Publishing :2022.
Description:	xviii, 283 p. :ill., digital ;24 cm.
Contained By:	Springer Nature eBook
Subject:	Mathematical physics.
Online resource:	https://doi.org/10.1007/978-3-031-14272-7
ISBN:	9783031142727$q(electronic bk.)

Mellin-Barnes integralsa primer on particle physics applications /
Dubovyk, Ievgen.

Mellin-Barnes integralsa primer on particle physics applications /[electronic resource] :by Ievgen Dubovyk, Janusz Gluza, Gabor Somogyi. - Cham :Springer International Publishing :2022. - xviii, 283 p. :ill., digital ;24 cm. - Lecture notes in physics,v. 10081616-6361 ;. - Lecture notes in physics ;650..

Introduction -- Complex Analysis -- Mellin-Barnes Representations for Feynman and Related Integrals -- Resolution of Singularities -- Analytic Solutions -- Approximations -- Numerical Methods.

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.

ISBN: 9783031142727$q(electronic bk.)

Standard No.: 10.1007/978-3-031-14272-7doiSubjects--Topical Terms:

190854
Mathematical physics.

LC Class. No.: QC20.7.I58

Dewey Class. No.: 530.15543

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520 $a 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.
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