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Mellin-Barnes Integrals = A Primer on Particle Physics Applications /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Mellin-Barnes Integrals/ by Ievgen Dubovyk, Janusz Gluza, Gábor Somogyi.
其他題名:	A Primer on Particle Physics Applications /
作者:	Dubovyk, Ievgen.
其他作者:	Somogyi, Gábor.
面頁冊數:	XVIII, 283 p. 21 illus. in color.online resource. :
Contained By:	Springer Nature eBook
標題:	Applications of Mathematics. -
電子資源:	https://doi.org/10.1007/978-3-031-14272-7
ISBN:	9783031142727

Mellin-Barnes Integrals = A Primer on Particle Physics Applications /
Dubovyk, Ievgen.

Mellin-Barnes IntegralsA Primer on Particle Physics Applications /[electronic resource] :by Ievgen Dubovyk, Janusz Gluza, Gábor Somogyi. - 1st ed. 2022. - XVIII, 283 p. 21 illus. in color.online resource. - Lecture Notes in Physics,10081616-6361 ;. - Lecture Notes in Physics,891.

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

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

669175
Applications of Mathematics.

LC Class. No.: QC793-793.5

Dewey Class. No.: 530.14

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